Answers
The value of x is 85° when a pair of parallel lines intersects another pair of parallel lines.
According to the question,
We have the following information:
A pair of parallel lines intersects another pair of parallel lines.
We have a figure where an angle is given as 85°.
Now, the following theorems would be helpful in finding the value of x:
When a pair of parallel lines is intersected by another line then the sum of two consecutive interior angles is 180°. (1)
When a pair of parallel lines is intersected by another line then the alternate interior angles are equal. (2)
Vertically opposite angles are equal. (3)
(Now, we will refer to these theorems by the number given in the brackets.)
Now, by theorem 3, we have vertically opposite angle as 85°.
Now, its alternate interior angle will also be 85°.
Now, 85° and x° are vertically opposite angles.
So, by theorem 3, we have the value of x as 85°.
Hence, the value of x is 85°.
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Related Questions
what is the range of :
-6
-2.
11
8
10
12
Answers
Answer:
18
Step-by-step explanation:
The range is the biggest number minus the smallest number.
The biggest number is 12.
The smallest number is -6 .
Range = 12-(-6) = 18
Let g(x) be the transformation of f(x) = IxI so that the vertex is at (-1, -3). Identify the rule for g(x) and its graph.
Answers
EXPLANATION
Since the vertex is at (-1, -3), the only appropriate option is to translate the function one unit to the left, and again translating 3 units down, with the following form:
g(x) = |x+1| - 3
Therefore, the solution is the last option.
on a test consisting of 250 questions, jassi answered 40% of the first 125 questions correctly. what percent of the other 125 questions does she need to answer correctly for her grade on the entire exam to be 60%
Answers
test of 250 questions
40% of the fist 125 are ok, this means that 125(0.4) = 50 questions of the first 125 are ok
If jassi needs 60% of the 250 ok, that is 250(0.6) = 150
If of the first half she already has 50 questions ok, and needs 150, she needs to have 100 questions our of the second 125
If she needs 100 out of 125, this percent is 100/125 = 0.8, this means 80%
Answer:
Jassi needs 80% of the second 125 questions to be ok
Please help me find this
Answers
Center of circle = (-3, 6)
Diameter = 6
General equation of circle: x² + y² = r²
our answer will be in the form:
(x+a)² + (y+b)² = r²
Substitute center values and radius:
a = 3 (x was -3 but we don't trust it! It should be positive instead of negative)
b = -6 (same rules apply. Don't trust the value in the center. Its the opposite.)
r = 6/2 which is 3
answer: (x+3)² + (y-6)² = 3²
Select the correct answer. A mistake was made in the steps shown to simplify the expression. Which step includes the mistake? +3(4-1) - 7 + 2³ Step 1: = // +3(3) - 7 + 2³ Step 2: = + 3(3) 7 + 8 Step 3: = Step 5: Step 6: = Step 4: = O A. B. - O c. O D. S 15 (3) 7 + 8 45 - 7 + 8 31+8 Step 5 Step 4 Step 1 Step 3 A
Answers
Answer:
Step 3
Step-by-step explanation:
The mistake was made in Step 3.
Use point-slope form to write the equation of a line that passes through the point (19,-12) with slope -3
Answers
Answer:
Step-by-step explanation:
The formula is :
(y - y1) = m(x - x1)
the given values are x1 = 19, y1 = -12 and m = slope = -3
putting values
(y + 12)= -3(x-19)
y + 12 = -3x +57
y+ 3x - 35 = 0
This is the required equation.
the triangles below are similar. Find the value of x.
Answers
Answer:
x=9
Step-by-step explanation:
both sides are 14 and the other triangle is 7 so 14/7=2 and 18/2=9
Caleb predicted that his favorite player would score 27 points in the firrst round of the NCAA tournament game. The player actually scored 23 points. What is the percent ERROR of Caleb's prediction? Round your answer to the nearest tenth of a percent.
Answers
Given that
Caleb predicted player would score 27 points.
But he scored 23 points.
so percentage error,
[tex]\begin{gathered} \text{percetage error=}\frac{27-23}{27}\times100 \\ =\frac{4}{27}\times100 \\ =14.81\text{ \%} \end{gathered}[/tex]a 2-member committe will be selected from 6 members of high school student council to attend a rally in washington, d.c. how many different 2-member committes are possible?
Answers
The order of the outcomes is irrelevant when calculating the total outcomes of an event using combinations. We will use the formula nCr = n! / r! * (n - r)! to calculate combinations.
15 different 2-member committees are possible.
What is a permutation vs combination?Subsets of a set can be created in two different ways: combination and permutation. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a particular order.The various ways in which items from a set may be chosen, usually without replacement, to form subsets, are called permutations and combinations. When the order of the selection is a factor, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination.The order of the outcomes is irrelevant when calculating the total outcomes of an event using combinations. We will use the formula nCr = n! / r! * (n - r)! to calculate combinations.C(6,2) = 6!/(4!2!) = 15.
15 different 2-member committees are possible.
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Use the associate property to write an expression equivalent to (w+9)+3
Answers
W+(9+3) is the equivalent expression of (w+9)+3 by using associate property
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (w+9)+3
The operator in given expression is plus and variable is W.
The associative property of addition states that Changing the grouping of addends does not change the sum.
(x+y)+z=x+(y+z)
Similarly (W+9)+3=W+(9+3)
W+(9+3) is the equivalent expression of (w+9)+3 by using associate property
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the mean cost of a five pound bag of shrimp is 40 dollars with a variance of 36. if a sample of 43 bags of shrimp is randomly selected, what is the probability that the sample mean would differ from the true mean by more than 2.5 dollars? round your answer to four decimal places.
Answers
The probability that the sample mean would differ from the true mean by more than $2.5 is 0.0062
Mean cost of the five pound shrimp bag = $40
Variance of the five pound shrimp bag = $36
The number of the shrimp bag = 43
The given mean value = $2.5
The z-score = $2.5
The probability of the sample mean differ by $2.5 from the true mean can be calculated by
P(z > 2.5) = 1 - P(z < 2.5)
From the z table , we can get the value of z < 2.5 which is 0.9938
P(z > 2.5) = 1 - 0.9938
P(z > 2.5) = 0.0062
Therefore , the probability of sample mean from the true mean by 2.5 is 0.0062
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PLEASE HELP! due soon
Answers
Answer:
Your answer is 103.2413793103448
Step-by-step explanation:
[tex]29.94[/tex] ÷ [tex]29[/tex] [tex]= 1.032413793103448[/tex]
[tex]1.032413793103448[/tex] × [tex]100 = 103.2413793103448[/tex]
86 is your answer
Fill in the missing. How many solutions does the equation have? what does the simplified equation mean?
5.5x - 2.1 = 3 + 5.5x
5.5x - 2.1 - _____ x = 3 + 5.5x - _____ x
_____ = _____
Answers
The equation 5.5x - 2.1 = 3 + 5.5x has no solution. Then the number of the solution is zero.
What is the solution to the equation?The allocation of weights to the relevant variables that produce the calculation's equilibrium is referred to as a direct consequence.
Simplicity is the quality of making anything less complicated and more manageable in terms of both execution and comprehension.
The equation is given below.
5.5x - 2.1 = 3 + 5.5x
Subtract 5.5x on both sides, then simplify the equation.
5.5x - 5.5x - 2.1 = 3 + 5.5x - 5.5x
0x - 2.1 = 3
The equation 5.5x - 2.1 = 3 + 5.5x has no solution. Then the number of the solution is zero.
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Solve The Equation, x= ?
Answers
Answer:
x=1Step-by-step explanation:
To solve the equation of 7/3x+1/3x=1+5/3x, isolate the term of x from one side of the equation.
First, you subtract by 5/3x from both sides.
[tex]\rightarrow \sf{\dfrac{7}{3}x+\dfrac{1}{3}x-\dfrac{5}{3}x=1+\dfrac{5}{3}x-\dfrac{5}{3}x}[/tex]
Solve.
[tex]\rightarrow \boxed{\sf{x=1}}[/tex]
Therefore, the solution is x=1, which is our answer.
I hope this helps, let me know if you have any questions.
what mathematical symbol goes between the two parentheses to show that you will be using the distributive property?
dont give explanation just answer qquick!
8 x 57 = (8 x 50) _____(8x7) 6th grade math
Answers
The addition symbol (+) can be used in between the two parentheses to show that you will be using the distributive property.
Distributive property:
The distributive property states that multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.
It can be written as,
a x (b + c) = (a x b) + (a x c)
Where a, b and c are the values of the variables.
Given,
Here we have the expression:
8 x 57 = (8 x 50) _____(8x7)
Here we need to find the symbol that can be used in between the two parentheses to show that it will be using the distributive property.
Based on the definition of the distributive property we have know that the symbol (+) can be used to make this one as distributive property used equation.
Therefore, the expression is written as,
8 x 57 = (8 x 50) + (8x7)
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Your bill at TGI Friday's was $90.00. If you leave a 20% tip, what will your total Bill be ? TIP = Total bill = ---- + ---- =
Answers
Its a bill question , and percentages
20% of $90.00 .
then 10% of $90 is 9 dollars
so then 2x10% = 20% of $90 is 2x9= 18 dollars
Now add then original pay to tip Pay ,
then
Pay original + Tip = $90 + 18 = $108 dollars
Select all rational numbers.
O√75
0-√25
02. √7
100
√0.36
✓0.0144
√
0-√√
36
49
Answers
All the rational numbers are;
2. - √25
4. 100
5. √0.36
6. √0.0144
7. √36
8. √ 49
What is Rational number?
A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
Given that;
All the numbers are,
1. √75
2. - √25
3. 2√7
4. 100
5. √0.36
6. √0.0144
7. √36
8. √ 49
Now,
1. √75 = 8.660250
Clearly, It cannot be written as the form of p / q.
So, It is not a rational number.
2. - √25 = - 5
It can be written as;
- √25 = - 5 / 1
So, It is a rational number.
3. 2√7
Since, √7 is an irrational number.
So, 2√7 is not a rational number.
4. 100
It can be written as;
100 / 1
So, It is a rational number.
5. √0.36 = 0.6
= 6 / 10
= 3 / 5
Thus, It is a rational number.
6. √0.0144 = 0.12
= 12 / 100
= 3 / 25
So, It is a rational number.
7. √36 = 6
= 6 / 1
So, It is a rational number.
8. √ 49 = 7
= 7 / 1
So, It is a rational number.
Therefore, All the rational numbers are;
2. - √25
4. 100
5. √0.36
6. √0.0144
7. √36
8. √ 49
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when jerry burger replicated milgram's experiment in 2009, he found that 70% of participants were still obeying, a from milgram's result. multiple choice question. large increase large reduction slight increase slight reduction
Answers
Jerry burger replicated milgram's experiment in 2009, he found that 70% of participants were still obeying, a from milgram's result is slight reduction .slight reduction means small in quantity or extent. 2 of small importance; trifling. slim and delicate. lacking in strength or substance.
How many participants in Milgram's study obeyed all the way to the end?In his book Understanding Milgram's Work Today, Robert Burger pointed out that in the original experiment, 79 percent of subjects who persisted after the learner's initial screams at 150 volts persisted all the way to the end of the scale, at 450 volts.The experiment had only one variation in which 26 out of 40 subjects obeyed, and this variation is where the figure of 65% of people following orders applied. In certain iterations of the study, not a single participant heeded the experimenters' commands, while in other modifications, many fewer participants were willing to do so.To learn more about Milgram's study refer to:
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In this case, I need to find the value of x. Whatever x is I need to substitute it into the expressions representing sides. I am informed that this is an isosceles triangle.
Remember all angles of a triangle equal 180 degrees, and all the other geometry stuff.
Please help :)
Answers
Answer:
x = ?
Step-by-step explanation:
Since there are two congruent angles, their respective sides are also congruent (an angle's respective side is the side opposing it, the side that it does not touch). Meaning, the 3x-7 side is congruent to the 2x side.
So just set them equal to each other to find x.
3x - 7 = 2x
x = ? (You can do this. Solve for x algebraically.)
The 4x-10 doesn't really matter here since you just need to find x.
david drives from his home to the airport to catch a flight. he drives 3535miles in the first hour, but realizes that he will be 11hour late if he continues at this speed. he increases his speed by 1515miles per hour for the rest of the way to the airport and arrives 3030 minutes early. how many miles is the airport from his home?
Answers
David takes a car to get to the airport in time for his trip. 210 miles distance is the airport from his house in miles.
Given that,
David takes a car to get to the airport in time for his trip. He travels 35 miles in the first hour but understands that if he keeps going at this rate, he will be one hour late. For the final 15 miles to the airport, he speeds up by 15 mph and gets there 30 minutes early.
We have to find how far is the airport from his house in miles.
Distance traveled after 1 hour
Let us take the distance traveled after first 1 hour as y
Distance/speed = time
After 1 hour his speed = (35 + 15) = 50 mph
Total time count of 1 hour and 30 mins is 1.5 hr
y/50 + 1.5 = y/35
Multiply through by350
7y + 525 = 10y
3y = 525
y = 525/3
y = 175 miles
In the first 1 hour, at 35 mph, distance covered = 35 miles
Distance from his home to airport = 175 miles + 35 miles = 210 miles
Therefore, the distance between David's home and the airport is 210 miles.
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Yasmin is making some pancakes. Her recipe makes 6 pancakes.
Flour
Eggs
Milk
100g
2
250ml
Yasmin wants to make 15 pancakes.
Complete the table to show how much she will need of each ingredient.
Answers
a cup of all-purpose flour as an ingredient
White sugar, 2 tablespoons
Baking powder, two teaspoons
1 salt shaker, or as desired
a cup of milk
Vegetable oil, two tablespoons
1 beaten egg
How to make a pancakes?Directions
In a sizable basin, mix the flour, sugar, baking soda, and salt. Pour the milk, oil, and egg into the center well that has been created. Blend until uniform.
Over medium-high heat, preheat a griddle or frying pan with a little oil. For each pancake, pour or scoop about 1/4 cup of batter onto the griddle; cook for 1 to 2 minutes, or until bubbles form and the edges are dry. The opposite side should be browned after flipping. Use the leftover batter to repeat.
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What percentage of this shape is shaded?
Answers
Answer:
You need to show the image
Step-by-step explanation:
Answer: 3.45
Step-by-step explanation:
What is the slope of the line? No need to answer the one above because I already know it. All I want to know is the slope. Thanks
Answers
Find the median AM of triangle ABC whose height point has the coordinates: [tex]A(0; 1), B(1; -4), C(5; 2)[/tex]
Answers
The value of the coordinates of the median AM is (0.5, -1.5)
How to find the median AM of the triangle?Given: A(0,1), B(1, -4), C(5,2)
Consider the image attached:
The distance AM is the midpoint of the distance AB. So we can use the midpoint formula:
Xm = (Xa + Xb) /2 and Ym = Ya + Yb/2
Where Xm and Ym are the x and y coordinates of the midpoint M
SInce A(0,1): Xa = 0, Ya = 1
Also B(1, -4); Xb = 1, Yb = -4
Xm = 0 + 1/2 = 1/2 = 0.5
Ym = 1 + (- 4)/2 = -3/2 = -1.5
Therefore, the coordinates of the median AM is (0.5, -1.5)
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The equations y = 7x-2 and 14x- 2y = 3 represent what?parallel linesperpendicular linesthe same lineintetsecting, non perpendicular lines
Answers
As a first step we are going to isolate y in both equations:
(1) y=7x-2
(2) -2y=-14x+3
y=7x-3/2
Since they have the same slope 7, that mean these lines are parallel
Identify the reaction type for each generic chemical equation. a b → ab: ab → a b: hydrocarbon o2 → co2 h2o: ab cd → ad cb:
Answers
For all the given reactions there is a type name for it they are,
1. A + B → AB
2. AB → A + B
3. Hydrocarbon + O₂ → CO₂ + H₂O
4. AB + CD → AD + CB
All the above-mentioned chemical reactions are of the following types
1 → Synthesis
2 → Decomposition
3 → Combustion
4 → Replacement
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What are the domain and range of the function below?
Answers
Answer:
Domain: [0,∞)
Range: (-∞,4]
Step-by-step explanation:
The domain is the numbers along the x-axis, and the range is the numbers along the y-axis. This graph includes a domain from zero to infinity and a range from negative infinity to four. The parentheses () mean that these numbers aren't included, and since infinity isn't an actual number, it gets a parenthesis. The brackets [ ] are used to include a number exactly. Since four and zero are real numbers and are included in this graph they get brackets. We also know that four and zero are included because the dot at point (0,4) is solid and not hollow, which means those numbers are to be included in the domain and the range. Also something to note: you always write the domain and range going from the smallest number to the largest number, this is why the range is written as (-∞, 4] and not [4, -∞).
The area of a rectangle is 60 cm². The length is 11 cm more than the width. Find the width
Answers
Answer:
5
Step-by-step explanation:
let width be x
and because length is 11 times more than the width, therefore length equals to 11x
hence the equation equals to
area = length x width
60 = 11x + x
60 = 12x
x = 60/12
therefore, the width of the rectangle is 5
30 POINTS!!!!! NEEDS HELP ASAP!!!!
The associative property of addition says you can change the______. of addends without affecting the sum.
A. grouping
B. operation
C. order
Answers
Answer:
C. order
Step-by-step explanation:
The associative property of addition allows you to change the of numbers without affecting the sum.
Answer: Grouping
Step-by-step explanation:
Changing the grouping of addends does not change the sum. For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4)left parenthesis, 2, plus, 3, right parenthesis, plus, 4, equals, 2, plus, left parenthesis, 3, plus, 4, right parenthesis.
In ∆ STU, the measure of < U=90°, UT=12, SU=35, and TS=37. What ratio reprecents the secant of < T?
Answers
By definition, a Right triangle is a triangle that has an angle whose measure is 90 degrees (which is also called "Right angle").
You can identify that the triangle STU is a Right triangle, because:
[tex]\angle U=90\degree[/tex]The following is one of the Trigonometric ratios. It's called "Secant":
[tex]\sec \alpha=\frac{hypotenuse}{adjacent}[/tex]In this case you can identify that:
[tex]\begin{gathered} \alpha=\angle T \\ hypotenuse=TS=37 \\ adjacent=UT=12 \end{gathered}[/tex]Then, substituting values, you get that the answer is:
[tex]\sec \angle T=\frac{37}{12}[/tex]