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ANSWER;
Converse; Exterior alternate angles are equal
[tex]x\text{ = 3}[/tex]EXPLANATION;
Here, we want to get the value of x given that the lines l and m are parallel
From the diagram given, we can see that;
[tex]15x\text{ +29 = 26x-4}[/tex]The reason for this is that they are a pair of exterior alternate angles
Mathematically, exterior alternate angles are equal
From here, we can proceed to solve for the value of x;
[tex]\begin{gathered} 26x-15x\text{ = 29+4} \\ 11x=33 \\ x\text{ = }\frac{33}{11} \\ x\text{ = 3} \end{gathered}[/tex]Related Questions
Not a timed or graded assignment. Quick answer = amazing review :)
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The question is given to be:
[tex]\sqrt[]{\frac{64}{100}}[/tex]Recall the rule:
[tex]\sqrt[]{\frac{a}{b}}=\frac{\sqrt[]{a}}{\sqrt[]{b}}[/tex]Therefore, the expression becomes:
[tex]\sqrt[]{\frac{64}{100}}=\frac{\sqrt[]{64}}{\sqrt[]{100}}[/tex]Recall that:
[tex]\begin{gathered} 8\times8=64,\therefore\sqrt[]{64}=8 \\ \text{and} \\ 10\times10=100,\therefore\sqrt[]{100}=10 \end{gathered}[/tex]Hence, the expression becomes:
[tex]\frac{\sqrt[]{64}}{\sqrt[]{100}}=\frac{8}{10}[/tex]Dividing through by 2, we have:
[tex]\frac{8}{10}=\frac{4}{5}[/tex]Therefore, the answer is:
[tex]\sqrt[]{\frac{64}{100}}=\frac{4}{5}[/tex]if the growth factor is 1.2, what is the growth rate
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SOLUTION
Step 1 :
In this question, we are meant to know the relationship between Growth factor and Growth Rate.
Growth factor is the factor by which a quantity multiplies itself over time.
Growth rate is the addend by which a quantity increases ( or decreases ) over time.
Step 2 :
From the question, if the growth factor is 1.2 which is also 120 %,
then the growth rate will be ( 120 - 100 ) % = 20 % = 0. 2
CONCLUSION:
The Growth Rate = 0. 2
How do you convert 313313 yards to inches? Use the drop-down menus to explain your answer.Since there are inches in 11 yard, 313313 by .So, 313313 yards = inches.
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Given:
[tex]3\frac{1}{3}\text{yards}[/tex]Aim:
We need to convert yards into inches.
Explanation:
[tex]3\frac{1}{3}\text{yards}=\frac{3\times3+1}{3}\text{ yards}[/tex]
[tex]3\frac{1}{3}\text{yards}=\frac{10}{3}\text{ yards}[/tex]
Recall that
[tex]1\text{ yard =}36\text{ inches}[/tex]Multiply 10/3 on both sides, we get
[tex]\frac{10}{3}\text{ yards =}\frac{10}{3}\times36\text{ inches}[/tex][tex]\frac{10}{3}\text{ yards=}120\text{ inches}[/tex][tex]3\frac{1}{3}\text{ yards =}120\text{ inches}[/tex]We know that
[tex]3\frac{1}{3}\times36=120[/tex]Final answer:
Since there are 36 inches in 1 yard.
[tex]\text{ multiply 3}\frac{1}{3}\text{ by 36.}[/tex][tex]\text{ So, }3\frac{1}{3}\text{ yards =}120\text{ inches}[/tex]A bag contains 5 red and 3 blue marbles. Two marbles are drawn simultaneously from the bag. DETERMIN the probability that at least one is red.
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total number of balls = 5 + 3 = 8
The possibilities are:
RR (two red) and RB (one red and one blue)
RR and RB are mutually exclusive
P(RR) =
A local deli kept track of the sandwiches it sold for three months. The polynomials below model the number of sandwiches sold, where s represents days. Ham and Cheese: 4s^3-28s^2+33s+250Pastrami: -7.4s^2+32s+180Write a polynomial that models the total number of these sandwiches that were sold.
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we are given that the following polynomials model the number of sandwiches sold per day:
[tex]\begin{gathered} HC=4s^3-28s^2+33s+250 \\ P=-7.4s^2+32s+180 \end{gathered}[/tex]The total amount of sandwiches is equivalent to the sum of both polynomials:
[tex]4s^3-28s^2+33s+250-7.4s^2+32s+180[/tex]Associating like terms:
[tex]4s^3+(-28s^2-7.4s^2)+(33s+32s)+(250+180)[/tex]Adding like terms:
[tex]4s^3-35.4s^2+65s+430[/tex]Since we can simplify any further, this is the polynomial that models the total amount of sandwiches.
13 divided by 10 5/6
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Answer:
the answer is 1 1/5
A table is in the shape of a regularhexagon. The perimeter of the table is 12 ftfeet. What is the length of each side ofthe tableA 1 ftB 2 ftC 3 ftD 4 ft
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Solution:
Given the shape of a hexagon;
The perimeter, P, of a hexagon is;
[tex]\begin{gathered} P=6s \\ \\ \text{ Where }s=side\text{ length} \end{gathered}[/tex]Given;
[tex]\begin{gathered} P=12ft \\ \\ s=\frac{12}{6}ft \\ \\ s=2ft \end{gathered}[/tex]CORRECT OPTION: B
I child drinks 1 1/2 cups of milk twice a day.If a container of milk has 15 cups of milk remaining for the child to drink ,in how many days will the container be empty?
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Data
Milk drank = 1 1/2 twice a day
Volume in a container = 15 cups
Number of days the contaier will be empty = ?
Procedure
To solve this problem just divide the volume of the container by the milk drank by the child.
As the child drinks 1 1/2 twice a day, the total milk drank in a day will be = 2 x 1 1/2 = 3
Division 15/3 = 5
Solution: The container will be empty in 5 days
If y varies directly with x and y=12when.x=9 what is the value of x when y=36?
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y varies directly with x
y=kx
y=12, x=9
12=k9
Solve for k:
12/9 =k
y= 12/9x
For y=36
36 = 12/9 x
Solve for x:
36 /(12/9)= x
27=x
x=27
10. Determine if the following sequence is arithmetic or geometric. Then, find the 67th term. 36, 30, 24, 18, ... a. arithmetic, -360 b. arithmetic, 12 c. geometric, -360 d. geometric, 12
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hello
to determine if the sequence is arthimetic or a geometric progression, we check if a common difference or common ratio exists between the two sequence
the sequence is 36, 30, 24, 18,......
from careful observation, this is an arthimetic progression because a common difference exists between them
d = 30 - 36 = -6
or
d = 24 - 30 = -6
to find the 67th term, let's apply the formula
[tex]\begin{gathered} T_n=a+(n-1)d \\ T_{67}=a+(67-1)d \\ a=\text{first term = 36} \\ d=common\text{ difference = }-6 \\ T_{67}=36+(67-1)\times-6 \\ T_{67}=36+66\times-6 \\ T_{67}=36-396 \\ T_{67}=-360 \end{gathered}[/tex]How many solutions does the following equation have? - 6(x + 7) = - 4x – 2 А. No solutions B.Exactly one solution C.Infinitely many solutions
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ANSWER
Exactly one solution.
EXPLANATION
We are given the equation:
-6(x + 7) = -4x - 2
To find the number of solutions, we have to solve for x:
-6x - 42 = -4x - 2
Collect like terms:
-6x + 4x = 42 - 2
-2x = 40
x = 40 / -2
x = -20
Therefore, the equation has exactly one solution.
I inserted a picture of the question Please don’t ask tons of questions. & please state whether it’s a b c or d
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As given by the question
There are given that the graph of the triangle.
Now,
According to the properties,
If the point (x, y) or (-x, y) rotated about the origin by the angle of 360 degrees.
That means,
There is no difference between rotating 360 degrees clockwise or anti-clockwise around the origin.
Then,
From the vertices of the triangle ABC is:
[tex]\text{A is (-6, 3), B is (-5, 7) and C is (-4, 3).}[/tex]Since the triangle map onto itself
[tex]\begin{gathered} A=A^{\prime} \\ B=B^{\prime} \\ C=C^{\prime} \end{gathered}[/tex]So, the triangle is rotated 360 degrees about the origin
Hence, the correct option is D.
Write the slope intercept equation through the point (1,2) and it’s parallel to the line y=1+4x
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Given:
Line equation, y=1+4x
The point, (1,2)
To find the slope intercept form:
The general slope intercept form is, y=mx+b.
First to find m:
From the line equation,
y=4x+1
We have, m=4
Next to find b:
Substitute m=4, and (1,2) in the general intercept form is,
[tex]\begin{gathered} (2)=4(1)+b \\ 2=4+b \\ b=-2 \end{gathered}[/tex]Now, substitute m=4 and b=-2 in the slope intercept form
Thus, the slope intercept form is,
[tex]y=4x-2[/tex]Write the equation for the trigonometric graph.y= 8cos(pi/40x)y= –8sin(pi/40x)y= –8cos(pi/40x)y= 8sin(pi/40x)
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Solution
For this case we can verify the answer using the point x= 0 if we replace we got:
y=8 cos (pi/40* 0) = 8 cos (0) = 8
y= -8 sin (pi/40 *0)= -8 sin(0) = 0
y= -8cos(pi/40*0)= -8 cos (0)= -8
y= 8 sin (pi/40 *0)= 8 sin(0) = 0
Then the correct option would be:
y= -8cos(pi/40*0)
In the figure shown, what is mzA? Explain.57°; AABC is an isosceles triangle with base angles A and C. m2A = mc.B. 66; AABC is an isosceles triangle with base angles B and C. m2B = m_C = 57, and m2A + m2B + m2 = 180.C. 57. AABC is an equilateral triangle.
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Since ABC is an isosceles triangle with sides AB=AC, then the angle ABC is the same as ACB, an it's equal to 57º.
Since all three internal angles should add up to 180º, then the angle BAC should have a measure of 180-2(57)=66º.
I was doing this with a tutor but there was a connection problem.
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ANSWER:
[tex](x-3)^2+(y+7)^2=113[/tex]The point (7,6) is not on the circle
STEP-BY-STEP EXPLANATION:
(a)
The equation of the circle is given as follows:
[tex]\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ \text{ where (h,k) is the center and r is the radius } \end{gathered}[/tex]We replace to calculate the radius of the circle, like this:
[tex]\begin{gathered} \mleft(-4-3\mright)^2+\mleft(1-\mleft(-7\mright)\mright)^2=r^2 \\ (-7)^2+(8)^2=r^2 \\ r^2=113 \end{gathered}[/tex]Therefore, the equation would be:
[tex](x-3)^2+(y+7)^2=113[/tex](b)
We replace the point, and if the value is greater than the radius, it means that this point is not on the circle:
[tex]\begin{gathered} (x-3)^2+(y+7)^2\le113 \\ \text{ replacing:} \\ \mleft(7-3\mright)^2+\mleft(6+7\mright)^2\le113 \\ 4^2+13^2\le113 \\ 16+169\le113 \\ 185\le113 \end{gathered}[/tex]Therefore, the point (7,6) is not on the circle
a rectangle with a area of s sq feet and a width of 6 in what is the length of the rectangle
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The area of the reactangle is calculates using the following formula:
[tex]A=w\cdot l[/tex]Where
A: area
w: wisth
l: lenght
You can write this formula in terms of the length by dividing the Area by the width:
[tex]l=\frac{A}{w}[/tex]If the area is A=s feet² and the width is w=6 feet, then the length is
[tex]l=\frac{s}{6}[/tex]x = -1,0,1,2,3.
P(X = x) 0.2, 0.2, 0.2, 0.2, 0.2. Find the value of P(X<3).
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The value of the probability P(x < 3) is 0.8
How to determine the probability value?From the question, the table of values is given as
x = -1,0,1,2,3.
P(X = x) 0.2, 0.2, 0.2, 0.2, 0.2
To calculate the probability P(x < 3). we make use of the probability values where x is less than 3
This means that
P(x < 3) = P(-1) + P(0) + P(1) + P(2)
Substitute the known values in the above equation
So, we have
P(x < 3) = 0.2 + 0.2 + 0.2 + 0.2
Evaluate the sum
P(x < 3) = 0.8
Hence, the probability value is 0.8
Read more about probability at
https://brainly.com/question/24756209
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Beth Johnson's bank card account charges 1.1% every month on the average daily balance as well as the following special fees:Cash advance fee: 2% ( not less than $2 nor more than $10)Late payment fee: $25Over-the - credit- limit fee $10In the month of June, Beth's average daily balance was $1886. She was on vacation during the month and did not get her account payment in on time, which resulted in a late payment and resulted in charges accumulating to a sum above her credit limit. She also used her card for five Cash advances of$100,while on vacation. Find the special fees charged to the account based on account transactions in that month. The special fees are?
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List of special fees paid by Beth:
1.Late payment fee: $25.
2.Cash advance fee: $10.
2% of $100 multiplied by 5 is equal to (2/100)(100)(5) = 10.
3.Over-the - credit- limit fee: $10
The addition of the special fees is equal to $45. (After adding $25+$10+$10)
The answer $45.
Question 11:What is the maximum height of the driver off the diving board
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To find the maximun height (y) given a quadratic equation as above you find the coordinates of the vertex (maximum or minimun point of a parabola)
1. Use the next formula to find the x- coordinate of the vertex
[tex]\begin{gathered} y=ax^2+bx+c \\ \\ x=-\frac{b}{2a} \end{gathered}[/tex][tex]\begin{gathered} x=-\frac{\frac{24}{9}}{2(-\frac{4}{9})} \\ \\ x=-\frac{\frac{24}{9}}{-\frac{8}{9}}=\frac{-24}{-8}=3 \end{gathered}[/tex]2. Use the value of x above to find y-coordinate in the vertex:
[tex]\begin{gathered} y=-\frac{4}{9}(3)^2+\frac{24}{9}(3)+12 \\ \\ y=-\frac{4}{9}(9)+\frac{72}{9}+12 \\ \\ y=-4+8+12 \\ \\ y=16 \end{gathered}[/tex]Then, the maximum height of the diver is 16 feetHELLPPPPLLPPPPPPPPPPPPPPP
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Answer:
a²+13a+40
Step-by-step explanation:
Now the x in the function has been replaced into (a+5) :
(a+5)²+3(a+5) =
(a²+10a+25)+(3a+15) =
a²+13a+40
Hope this helped and have a good day
find the coordinates of the midpoint of the line joining the points and show your work.
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formula of midpoint
[tex](\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]the we replace (7,1) and (-1,3)
[tex](\frac{7+(-1)}{2},\frac{1+3}{2})[/tex]simplify to solve
[tex]\begin{gathered} (\frac{7+1}{2},\frac{4}{2}) \\ \\ (\frac{8}{2},\frac{4}{2}) \\ \\ (4,2) \end{gathered}[/tex]Midpoint is (4,2)
Graph
which of the following lines is perpendicular to the equation given below?
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Given data:
The given equation of the line is y=-2x+8.
The slope of the given line is -2.
The slope of the line perpendicular to it is,
[tex]\begin{gathered} m\times-2=-1 \\ m=\frac{1}{2} \end{gathered}[/tex]The standard equation of the line is,
[tex]y=mx+c[/tex]Here, m is the slope of the line.
The second option can be written as,
[tex]\begin{gathered} x-2y=8 \\ 2y=x-8 \\ y=\frac{1}{2}x-4 \end{gathered}[/tex]Thus, option (B) is correct.
4. Sales tax in a certain state is 5%. If the sales tax on a new boat was $400, what was the selling price of the boat?
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Sales tax percentage = 5% = 5/100 = 0.05 (decimal form)
Sales tax amount = $400
Multiply the selling price of the boat (x) by the sales tax percentage in decimal form. That expression must be equal to 400.
0.05x = 400
Solve for x:
x = 400/ 0.05
x= $8,000
Solve the following system using the substitution method. Enter your answer as an ordered pair in the form (x,y). 3x-2y=55x+10y=35
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System of equations
• Equation 1
[tex]3x-2y=5[/tex]• Equation 2
[tex]5x+10y=35[/tex]Procedure
Solving the system by substitution.
0. Isolating ,x ,from equation 2:
[tex]5x=35-10y[/tex][tex]x=\frac{35}{5}-\frac{10y}{5}[/tex][tex]x=7-2y[/tex]2. Replacing the expression of x obtained in equation 1:
[tex]3\cdot(7-2y)-2y=5[/tex]3. Simplifying:
[tex]21-6y-2y=5[/tex][tex]-8y=5-21[/tex][tex]y=\frac{-16}{-8}[/tex][tex]y=2[/tex]4. Finally, we replace this value in the isolated expression of x and solve it:
[tex]x=7-2\cdot(2)[/tex][tex]x=7-4[/tex][tex]x=3[/tex]Answer: (3, 2)
in the diagram triangle JKL and is inscribed in the circle and Arc JL = 62 degrees what is angle L
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SOLUTION
m < L = ?
m < J = 62 degrees
m < L + 62 + 90 = 180 ( Sum of angles in a triangle )
m < L + 152 = 180
m < L = 180 - 152
Question60 is 40% of what number?
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let the required number be x then
[tex]\begin{gathered} \frac{60}{x}\times100=40 \\ x=\frac{60}{40}\times100 \\ x=150 \end{gathered}[/tex]So 60 is 40% of 150.
The test results for 4 students are 96 83 78 and 83. If one more student's test score of 87 is added, what would increase?A. median B. meanC. modeD. range
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Mean will increase because 87 is greater than 83 and 78, then the eman will be greater
Reduce to lowest term10\25
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Answer:
2/5
Step-by-step explanation:
10 and 25 can both be divided by 5
10 divided by 5 equals 2
25 divided by 5 equals 5
Which inequality is represented by the graph?
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Answer:
it's option c ............