"Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of the line = rise of the line / run of the line = 2/2 = 1.
How to Find the Slope of a Line?The slope (m) of a line can be determined by finding the ratio of the rise of the line to the run of the line, which is, the change in y over the change in x.
Referring to the image attached below, the blue line in the given graph shows the rise of the line while the red line shows the run of the line.
Therefore:
Rise of the line = 2 units
Run of the line = 2 units
Slope of the line (m) = rise/run = 2 units/2 units
Slope of the line (m) = 1
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What is 4x + y = -3?
Answer:x=
−1/4y+ −3/4
Step-by-step explanation
find the volume of the rectangular prism. need an integer or decimal.
We will have the following:
[tex]V=(\frac{9ft\ast9ft}{2})(12ft)\Rightarrow V=486ft^3[/tex]So, the volume is 486 ft^3.
Complete the point-slope equation of the line through (-5,7)(−5,7)left parenthesis, minus, 5, comma, 7, right parenthesis and (-4,0)(−4,0)left parenthesis, minus, 4, comma, 0, right parenthesis.
Use exact numbers.
The point-slope equation of this line is y - 7 = -7(x + 5).
What is the point-slope form?Mathematically, the point-slope form of a line is given by this equation:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.Next, we would determine the slope of this line by using this formula:
Slope, m = Δy/Δx
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Substituting the given parameters into the formula, we have;
Slope, m = (0 - 7)/(-4 + 5)
Slope, m = -7/1
Slope, m = -7
At point (-5, 7), the point-slope equation of the line is given by:
y - y₁ = m(x - x₁)
y - 7 = -7(x - (-5))
y - 7 = -7(x + 5)
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Complete Question:
Complete the point-slope equation of the line through (-5, 7) and (-4, 0). Use exact numbers.
X AND Y (PLEASE HELP)
Answer:
HERE YOU GO HOPE IT HELPS
If cosA is equal to sin65 find the value of A
Answer:
A = 25Step-by-step explanation:
We know that:
cos A = sin (90 - A)Apply it to the given to get:
90 - A = 65A = 90 - 65A = 255. Which equation is solved for the height of the cone based on theinformation given below?The equation V = 1 r represents the volume of a cone, where is the radius of the cone andh is the height of the coneh=V - Tr?h= } #r?VB3V - #r2 = h3Vha?D
We need to make h the subject of formula:
[tex]\begin{gathered} All\text{ the variables on the right are multiplied together.} \\ \text{First we get rid of the 1/3 by multiplying both sides by 3:} \\ 3(V)\text{ =3( }\frac{1}{3}\pi r^{2}h) \\ 3V\text{ = }\pi r^{2}h \end{gathered}[/tex][tex]\begin{gathered} \text{For h to stand alone on the right side, we divide both sides by }\pi r^2h \\ We\text{ apply division beause all the variables were ultiplied together} \\ So\text{ to undo it, we divide} \\ \frac{3V}{\pi r^{2}}=\text{ }\frac{\pi r^{2}h}{\pi r^{2}} \\ \frac{3V}{\pi r^2}=\text{ }h \end{gathered}[/tex][tex]h\text{ = }\frac{3V}{\pi r^{2}}\text{ (option D)}[/tex]Answer fast
Which of the following is used to identify outliers in a set of data?
1.5(IQR)
1.5(range)
2(mean)
2(median)
The Interquartile range i.e 1.5 (IQR) is used to identify outliers in a set of data which is the correct answer would be option (A).
What is the Interquartile range (IQR)?We may build up a "fence" outside of Q1 and Q3 by using the Interquartile range (IQR) method of spotting outliers. Outliers are values that fall outside of this range.
To construct this barrier, we take 1.5 times the IQR, deduct it from Q1, and add it to Q3. This provides us with the lowest and maximum fence posts against which we will compare each observation.
Outliers are observations that are greater than 1.5 IQR below or above Q1. Minitab's default strategy for identifying outliers is this.
Therefore, the Interquartile range (IQR) is used to identify outliers in a set of data.
Hence, the correct answer would be option (A).
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The temperature is −4°F. What will the temperature be if the temperature rises 20°F?
Answer:
16°F
Step-by-step explanation:
The temperature is −4°F. What will the temperature be if the temperature rises 20°F?
-4 + 20 = 16
so:
16°F
scores on the wechsler adult intelligence scale for the age group from 20 to 34 are approximately normally distributed with mean 110 and standard deviation 15. how high must a person score to be in the top 10%? (hint: that means, 90% of adults in that age range have a score lower than this cut-off score.)
A person must score at least 129.24 to be in the top 10%.
Using the z-table, find the z-score that corresponds to the 90% probability.
probability = 0.90
z-score = 1.2825
For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.
The z-score can be calculated using the formula below.
z-score = (x – μ) / σ
where x = individual data value
μ = mean
σ = standard deviation
Plug in the values and find the score to be in the top 10%, x.
z-score = (x – μ) / σ
1.2825 = (x – 110) / 15
x – 110 = 19.2377
x = 129.24
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a marksman has a probability of 0.268 for hitting a certain long-range target. what is the probability that it takes 5 shots for the marksman to hit the long-range target? (round your answer to three decimal places, if necessary.)
The probability of the marksman hitting the long-range target in 5 shots is 0.1429.
The geometric distribution is a Bernoulli experiment that predicts the likelihood of the first success after a certain number of failures. Negative-binomial and binomial distributions are two different forms of Bernoulli trials.
P = 0.268
x = 5
Use the geometric probability mass function below to calculate the probability:
P(X = x) = [tex](1 - P)^{(x-1)}[/tex]× P
P(X = x) = [tex](1 - 0.268)^{(3-1)}[/tex]× 0.268
P(X = x) = 0.1429
The probability that it takes 5 shots for the marksman to hit the long-range target is 0.1429.
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x+6x-5x=x+114 Please help.
yesterday han drove 1 hour longer than ian at an average speed 5 miles per hour faster than ian. jan drove 2 hours longer than ian at an average speed 10 miles per hour faster than ian. han drove 70 miles more than ian. how many more miles did jan drive than ian?
Total 150 miles Jan drove than Ian.
Set the time Ian traveled as I, and set Han's speed as H.
Therefore, Jan's speed is H+5.
We get the following equation for how much Han is ahead of Ian;
H + 5I = 70.
The expression for how much Jan is ahead of Ian is; 2 (H + 5) + 10I
This simplifies to: 2H + 10 + 10I
However, this is just 2(H + 5I) + 10
Substitute, from the first equation, H + 5I as 70
Therefore, the answer is 140 + 10, which is 150.
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A given triangle has vertices at (-3, 1) (2, 4) and (5, -3). If the triangle were rotated 180 degrees counterclockwise, the new coordinates would be:
The new coordinates when we rotate the triangle counterclockwise is (3, -1), (-2, -4), (-5, 3).
Given,
The triangle with vertices;
(-3, 1) (2, 4) and (5, -3).
We have to find the new coordinates, when the triangle rotated 180 degrees counter clockwise;
Here,
The vertices;
(-3, 1) (2, 4) and (5, -3).
When we rotate 180 degree counter clockwise, the plane changes not the point.
That is,
(-3, 1) becomes (3, -1)
(2, 4) becomes (-2, -4)
(5, -3) becomes (-5, 3)
That is,
The new coordinates when we rotate the triangle counterclockwise is (3, -1), (-2, -4), (-5, 3).
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The new coordinates when we rotate the triangle counterclockwise is (3, -1), (-2, -4), (-5, 3).
Given,
The triangle with vertices;
(-3, 1) (2, 4) and (5, -3).
We have to find the new coordinates, when the triangle rotated 180 degrees counter clockwise;
Here,
The vertices;
(-3, 1) (2, 4) and (5, -3).
When we rotate 180 degree counter clockwise, the plane changes not the point.
That is,
(-3, 1) becomes (3, -1)
(2, 4) becomes (-2, -4)
(5, -3) becomes (-5, 3)
That is,
The new coordinates when we rotate the triangle counterclockwise is (3, -1), (-2, -4), (-5, 3).
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Analysis questions: 1. Find the slope of the line that goes through donuts 1-12. Find the slope of the line that goes from donuts 13-25. Are they the same or not?| 2. What if we only buy in amounts of baker's dozens? Is there a line for those? What points are on this line? What is the slope? 3. How much money do you save with the baker's dozen deal on 30 donuts? Where can this amount be seen on the graph?
1. Find the slope of the line that goes through donuts 1-12.
take the points
(1, 1.05) and (2, 2.10)
m=(2.10-1.05)/(2-1)
m=1.05/1
m=1.05
Find the slope of the line that goes from donuts 13-25
take the points
(14,14.05) and (15, 15.10)
m=(15.10-14.05)/(15-14)
m=1.05/1
m=1.05
so
The slope is the same
2. What if we only buy in amounts of baker's dozens? Is there a line for those? What points are on this line? What is the slope?
the points are
(13,13.00) and (24,24.55)
m=(24.55-13.00)/(24-13)
m=11.55/11
m=1.05
the equation in point slope form is
m=1.05
(x1,y1)=13,13)
y-13=(1.05)(x-13)
y-13=1.05x-13.65
y=1.05x-0.65
For x=30 donuts
y=1.05(30)-0.65
y=30.85
therefore
Do you save $0.65
a newsletter publisher believes that 60`% of their readers own a laptop. is there sufficient evidence at the 0.050.05 level to refute the publisher's claim? state the null and alternative hypotheses for the above scenario.
The null hypothesis is [tex]H_{0} : x=0.60[/tex] and alternative hypothesis is [tex]H_{1} :x\neq 0.60[/tex].
What is null and alternative hypothesis?
The null hypothesis is that the statement that researchers usually aim to disprove by performing tests of significance on the dataset. the most purpose of the null hypothesis is to help disprove a hypothesis or nullify it in favor of the alternate hypothesis that the researchers want to prove.
Let the percentage of readers who own a laptop be [tex]x.[/tex]
As newsletter publisher believes that [tex]60[/tex]`% of their readers own a laptop.
Therefore the null hypothesis is [tex]H_{0} : x=0.60[/tex] and alternative hypothesis is [tex]H_{1} :x\neq 0.60[/tex].
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One month Ivan rented 8 movies and 3 video games for a total of $43. The next month he rented 2 movies and 5 video games for a total of $32. Find the rental cost for each movie and each video game.
Given
Let's represent movies with M
Let's represent video with V
[tex]\begin{gathered} 8m+3v=43\ldots\text{Equation 1} \\ 2m+5v=32\ldots\text{Equation 2} \end{gathered}[/tex]Solution
Using substitution method
I will solve your system by substitution.
[tex]\begin{gathered} 8m+3v=43\ldots\text{Equation 1} \\ \text{Make M the subject of the formula} \\ 8m=43-3v \\ \text{Divide both sides by 8} \\ m=\frac{43-3v}{8}\ldots\text{Equation 3} \end{gathered}[/tex]Substitute for m in Equation 2
[tex]\begin{gathered} 2(\frac{43-3v}{8})+5v=32 \\ \\ \frac{43-3v}{4}+5v=32 \\ \end{gathered}[/tex]To clear the fraction multiply all through by 4
[tex]\begin{gathered} \frac{43-3v}{4}\times4+5v\times4=32\times4 \\ \\ \\ 43-3v+20v=128 \end{gathered}[/tex]Separate the similar term
[tex]\begin{gathered} -3v+20v=128-43 \\ 17v=85 \\ \text{Divide both sides by 17} \\ \frac{17v}{17}=\frac{85}{17} \\ \\ v=5 \end{gathered}[/tex]Substitute for v =5 in equation 3
[tex]\begin{gathered} m=\frac{43-3v}{8}\ldots\text{Equation 3} \\ m=\frac{43-3(5)}{8} \\ m=\frac{43-15}{8} \\ \\ m=\frac{28}{8} \\ \\ m=\frac{7}{2}=3.5 \end{gathered}[/tex]The rental cost for each movie
[tex]m=\text{ \$}3.50[/tex]The rental cost for each video game.
[tex]v=\text{ \$5}[/tex]Pls pls help due tomorrow!
If the equation y = -x, then the equation of the line that is parallel to the given line and passes through the point (-8,2) is y = -x-6
The equation is
y = -x
The slope intercept form
y = mx+b
Where m is the slope of the line
Comparing the slope intercept form and the given equation
Slope of the line m = -1
The line is passing through the points (-8,2)
The point slope form of the line
[tex](y-y_1)=m(x-x_1)[/tex]
Substitute the values in the equation
y-2 = -1(x-(-8))
y-2 = -1(x+8)
y-2 = -x-8
y = -x-8+2
y = -x-6
Hence, if the equation y = -x, then the equation of the line that is parallel to the given line and passes through the point (-8,2) is y = -x-6
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x^2+5x−21=0
complete the square
The solutions to the quadratic equation using completing the square method are x = -(√109)/2 - 5/2 and x = (√109)/2 -5/2.
What is the solution to the quadratic equation?
Given the quadratic equation in the question;
x² + 5x - 21 = 0x = ?To solve using completing the square method, first add 21 to both sides
x² + 5x - 21 = 0
x² + 5x - 21 + 21 = 0 + 21
x² + 5x = 21
Next, create a trinomial square on the left side of the equation, determine the value that is equal to the square of half of b which is 5.
( b/2 )² = ( 5/2 )²
Now, add ( 5/2 )² to both sides of the equation
x² + 5x + ( 5/2 )² = 21 + ( 5/2 )²
Simplify
x² + 5x + 25/4 = 21 + 25/4
Add 21 and 25/4
x² + 5x + 25/4 = 109/4
Factor the perfect trinomial.
x² + 5x + 25/4 = 109/4
( x + 5/2 )² = 109/4
Solve for x by taking the square root of both sides.
x + 5/2 = ±√( 109/4 )
x = -5/2 ±√( 109/4 )
x = ±(√109)/2 -5/2
x = -(√109)/2 - 5/2, (√109)/2 -5/2
Therefore, the solutions to are x = -(√109)/2 - 5/2 and x = (√109)/2 -5/2.
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Half of the smaller of two consecutive even integers is equal to two more than the larger integer find the smaller even integer
SOLUTION
Let the first even integer be 'a'.
Let the second integer be (a + 2) since the second is a consecutive even integer.
Half of the smaller (i.e. a) is equal to two more than the larger (i.e. a + 2). In other words:
[tex]\frac{a}{2}=(a+2)+2[/tex]Evaluate for a
Simplify
[tex]\begin{gathered} \frac{a}{2}=a+2+2 \\ \frac{a}{2}=a+4 \end{gathered}[/tex]Multiply all through by 2
[tex]\begin{gathered} 2\times\frac{a}{2}=2\times a+2\times4 \\ a=2a+8 \end{gathered}[/tex]Collect like terms
[tex]\begin{gathered} -8=2a-a \\ -8=a \\ \therefore a=-8 \end{gathered}[/tex]Hence, the smaller even integer is
[tex]-8[/tex]For each sequence, determine whether it appears to be arithmetic. If it does, find the common difference.
We are to determin if the following sequence are arithmetic and also fin their common difference if they are arithmetic.
(1) -3, -9, -27, -81, ................
This sequence is not an arithmetic sequence because theere is no common difference.
-9 - -3 = -27 - -9
-9 + 3 = -27 + 9
-6 ≠ -18
Therefore is not an arithmetic sequcence.
(2) 13, 17, 21, 25, ......................
This sequence is an arithmetic sequence.
It has a commdon difference of 4
17 - 13 = 21 - 17
4 = 4
Therefore, the sequence is an arithmetic sequence.
(3) -6, -2, 2, 6, .........................
This sequence is an arithmetic sequence.
It has a common difference of 4
-2 - -6 = 2 - -2
-2 + 6 = 2 + 2
4 = 4
Therefore, the sequence is an arithmetic sequence
Leo wants to buy two pairs of shoes. He found the shoes at two different stores at different prices and discounts. Store X is offering 10% off the price of the shoes. Store Y is offering $6 off the price of the shoes. For each shoe price listed in the table, indicate which store offers the lowest discounted price. Select the correct answer in each row.
The correct option regarding the discounts is given as follows:
Store Z has the best sale price of $28.
How to calculate the discount?The discount can be a percentage or an amount off, and the calculations are explained as follows:
Percentage: the original price is multiplied by the subtraction of one and the equivalent decimal of the discount.Amount off: the equivalent amount is given by the original amount subtracted by the amount off. ($6 off, the amount is subtracted by $6).Considering the discount plans and the original price of $35, the discounted prices in this problem are as follows:
Store X: 0.85 x 35 = $29.75.Store Y: 35 - 5 = $30.Store Z: 4/5 x 35 = 0.8 x 35 = $28.Hence the correct statement is given as follows:
Store Z has the best sale price of $28.
Missing information
The complete problem is:
Leo wants to buy some shoes. He found the shoes at three different stores for a price of $35. The stores are each having a sale:
Store X is offering 15% off the price of the shoes.Store Y is offering $5 off the price of the shoes.Store Z is offering a ⅕ discount off the price of the shoes.Which statement about the sale price of these shoes is true?
Store X has the best sale price of $20.Store Z has the best sale price of $28.Store Y has the best sale price of $30.More can be learned about discounts at https://brainly.com/question/7459025
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If a and b are two events defined on the same sample space, given that p(a) = 0.28 and p(aub) = 0.51, find the p(b) such that a and b are mutually exclusive
P(B) such that a and b are mutually exclusive is 0.23
A group of potential results from a specific experiment is an event. Events that do not take place at the same time are said to be mutually exclusive. For instance, if a coin is tossed, the outcome will either be head or tail; we cannot obtain both outcomes. Since they do not occur at the same time, such occurrences are also known as disjunct events.
Given: P(A) =0.28
P(AUB) = 0.51
We know,
P(AUB) = P(A) + P(B) - P(A∩B)
Since A and B are mutually exclusive events, they cannot happen together.
So, P(A∩B) = 0
Then,
P(AUB) = P(A) + P(B)
0.51 = 0.28+ P(B)
P(B) = 0.51 - 0.28 = 0.23.
Hence, P(B) = 0.23
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the heights of men in a certain population follow a normal distribution with mean 69.7 inches and standard deviation 2.8 inches. (a) if 10 men are selected at random, what is the probability their average height is above 72 inches? (b) if exactly one man is selected at random, what is the probability his average height is above 72 inches? (c) what is the 80th percentile for the average height of 10 men? (d) what is the probability the average height of 10 men is between 70 and 71 inches?
a) 10 men are selected at random, the probability their average height is above 72 inches is 0.0122.
b) Exactly one man is selected at random, the probability his average height is above 72 inches is 0.0122.
c) The 80th percentile for the average height of 10 men is 0.0097%.
d) The probability the average height of 10 men is between 70 and 71 inches is 0.13607.
Mean = 69.7 inches
Standard Deviation = 2.8 inches
a) Using normal distribution,
P(Y > 72) = P(Y - mean > 72 - mean)
P(Y > 72) = P((Y - mean ÷ SD) > (72 - mean ÷ SD))
P(Y > 72) = P(Z > (72 - mean ÷ SD))
P(Y > 72) = P(Z > (72 - 69.7 ÷ 2.8))
P(Y > 72) = P(Z > 2.25)
P(Y > 72) = 1 - P(Z ≤ 2.25)
P(Y > 72) = 0.0122
b) P(man's height is above 72 inches) = 0.0122
c) (80 × 0.0122) ÷ 100
= 0.0097%
d) P( 70 > Y > 71) = P(70 - mean > Y - mean > 71 - mean)
P( 70 > Y > 71) = P((70 - mean ÷ SD) > (Y - mean ÷ SD) > (71 - mean ÷ SD))
P( 70 > Y > 71) = P((70 - mean ÷ SD) > Z > (71 - mean ÷ SD))
P( 70 > Y > 71) = P((70 - 69.7 ÷ 2.8) > Z > (71 - 69.7 ÷ 2.8))
P( 70 > Y > 71) = P(0.107 > Z > 0.464)
P( 70 > Y > 71) = 0.13607
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a parameter that represents the amount of spread of individuals in the entire population of interest, which is typically unknown is group of answer choices the (true) standard error. the sample standard deviation. the estimated standard error. the population mean. the population standard deviation.
A parameter that represents the amount of spread of individuals in the entire population of interest, which is typically unknown is the population mean.
What is meant by population mean?The population mean can be determined by dividing the total number of values in the given data/population by the sum of all values in the data/population. The whole sum of the numbers is referred to as summation. The μ sign stands for the population mean.
The average calculated from the entire group, distribution, or population is known as the population mean. It is calculated by dividing the sum of all population variables by the total population of variables. Here, μ exists the population mean. ∑X exists the sum of all the observations in the population.
The population mean is a quantity that expresses the population's overall degree of individual variation, which is often unknown.
Therefore, the correct answer is option c) the population mean.
The complete question is:
a parameter that represents the amount of spread of individuals in the entire population of interest, which is typically unknown is group of answer choices the (true) standard error.
a) the sample standard deviation.
b) the estimated standard error.
c) the population mean.
d) the population standard deviation.
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answer pls
1. A surfer paddles out past breaking waves, rides a
wave, paddles back out past the breaking waves,
rides another wave back to the beach. Draw a sketch
of a graph (with labels) that shows the surfer’s
possible distance from the beach over time.
2. For the table, identify the independent and
dependent variables, Represent the relationship
using words, an equation and a graph.
# of cases of
bottled
water, c
# of bottles
of water,
b
1 24
2 48
5 120
10 240
20 480
for this one i only need the graph cannot find it out
3. Sketch a graph of the function shown by the table. Is
its linear or nonlinear?
x y
1 0
2 1
3 8
4 20
5. Write a function rule to represent the situation:
The volume, V, remaining in a 243 ft3 pile of gravel
decreases by .2 ft3 with each shovelful, s, of gravel
spread in a walkway
Tell whether the relation is a function. Explain your
reasoning.
{(-1, 7), (9, 4), (3, -2), (5, 3) , (9, 1)
7. Tell whether the relation is a function. Explain your
reasoning. find graph below
Describe the pattern in the sequence. Find the next
two terms of the difference.
-2, -5, -8, -11,
the graph for 7
Answer:
V = 243 - 0.2s
Step-by-step explanation:
See attached document for questions 1 - 3.
5. Write a function rule to represent the situation:
The volume, V, remaining in a 243 ft3 pile of gravel
decreases by .2 ft3 with each shovelful, s, of gravel
spread in a walkway.
Volume Remaining (V) = Initial - Used
Volume Remaining (V) = 243 ft^3 - (0.2 ft^3/shovel)(s shovels)
V = 243 - 0.2s
6. Tell whether the relation is a function. Explain your
reasoning.
{(-1, 7), (9, 4), (3, -2), (5, 3) , (9, 1)
This is not a function. When x = 8, it results in more than one output.
7. Pattern:
-2
-5
-8
-11
Each step decreases by 3
-14
-17
8.
The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a fraction in simplest form.
The identified scale factor of the triangles is 71 / 37.
How to find the scale factor of similar triangles?Scale factor is the ratio of corresponding sides on two similar figures.
The triangles are similar. Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Therefore, let's identify the scale factor of the triangles.
The triangle on the right is a scale copy of the triangle on the left.
Hence,
scale factor = 71 / 37 = 71 / 37
Therefore, the scaled factor of the triangles in fraction form is 71 / 37
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If f(x)=−13, find x.
Select one:
a. −3
b. −27
c. −51
d. −72
Two or more expressions with an Equal sign is called as Equation. x=-3 for function f(x)=−13.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
We know that f(x) = -13. This means that:
f(x)= -13 = 2x-7
-13= 2x-7
Now we all need to do is solve this equation. First add 7 to both sides
-13 + 7= 2x
-6=2x
Divide by 2 on both sides.
-6 ÷ 2= x
x= -3
Hence x=-3 for function f(x)=−13.
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I need to find the value of x in this figure. I need to do it so that whatever x is, it can be substituted into the expressions
Remember: all the angles of a triangle = 180 degrees and other geometry stuff
please help :)
Answer:
x = 42
see below for the angle measures.
Step-by-step explanation:
The angle marked 2x - 9 is sort of outside the triangle. It is called an exterior angle. The other two angles are called remote interior angles. "Remote" means that they are away from the exterior angle. When you have this set up, the two remote angles added together EQUAL the exterior one.
x+5 + 28 = 2x - 9
x + 33 = 2x - 9
Subtract x.
33 = x - 9
Add 9.
42 = x
So x = 42° which if you put that back into the expressions you can find the measures of the one remote interior angle (the other we know is 28°) and the exterior angle.
remote int angle:
x+5
= 42 + 5
= 47°
Exterior angle:
2x - 9
= 2(42) - 9
= 84 - 9
= 75°
(You can also then find the completely unmarked angle which is 180°- 75° which is 105°)
Round 34,582 to the nearest thousand.
Answer:
35000
Step-by-step explanation:
So the number is 34582
now look at the hundreds
if it is 5 or over then we add a thousand to and subtract what ever the lower than thosand
and in this case it is 5 so we round UP
and now we have 35000
The answer is 35,000.
To round to the nearest thousand, we look at the last three digits. If these digits are 500 or greater, then we round the thousands digit up, and if they are less than 500, then we round down, keeping the thousand's digit the same.
Since in this case the last three digit consists of 582 which is greater than 500 so we round the thousands digit up i.e. from 4 to 5 in this case.
To learn more about rounding off visit : brainly.com/question/2100597