Parallel lines e and f are cut by transversal b. what is the value of y?
2 answers:
Answer:
the value of y is, 130, so the 3rd answer
Step-by-step explanation:
i just took the text on (e)
2x + 18 and 4x - 14 are corresponding angles...they are equal
2x + 18 = 4x - 14
2x - 4x = -14 - 18
-2x = - 32
x = -32/-2
x = 16
so the measure of 4x - 14 = 4(16) - 14 = 64 - 14 = 50
and 4x - 14 and y are supplementary angles that add up to 180 degrees
so 50 + y = 180.....y = 180 - 50....y = 130 <==
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there are many combinations for it, but we can settle for say
![\bf \begin{cases} f(x)=x+2\\[1em] g(x)=\cfrac{9}{x^2}\\[-0.5em] \hrulefill\\ (f\circ g)(x)\implies f(~~g(x)~~) \end{cases}\qquad \qquad f(~~g(x)~~)=[g(x)]+2 \\\\\\ f(~~g(x)~~)=\left[ \cfrac{9}{x^2} \right]+2\implies f(~~g(x)~~)=\cfrac{9}{x^2}+2](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%20f%28x%29%3Dx%2B2%5C%5C%5B1em%5D%20g%28x%29%3D%5Ccfrac%7B9%7D%7Bx%5E2%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20%28f%5Ccirc%20g%29%28x%29%5Cimplies%20f%28~~g%28x%29~~%29%20%5Cend%7Bcases%7D%5Cqquad%20%5Cqquad%20f%28~~g%28x%29~~%29%3D%5Bg%28x%29%5D%2B2%20%5C%5C%5C%5C%5C%5C%20f%28~~g%28x%29~~%29%3D%5Cleft%5B%20%5Ccfrac%7B9%7D%7Bx%5E2%7D%20%5Cright%5D%2B2%5Cimplies%20f%28~~g%28x%29~~%29%3D%5Ccfrac%7B9%7D%7Bx%5E2%7D%2B2)
Step-by-step explanation:
Two angles are called suplementary when their measures add to 180 degrees.
D+F= 180
3x+5+2x= 180
5x+5=180
5x= 175
x= 35°
angle D = 3x+5= 3(35)+5= <u>110°</u>
Answer:
$23.00
Step-by-step explanation:
Formula: -13 + d = 10 (d = deposit)
To get d by itself, add 13 to 10: d = 23
Therefore, you need to deposit $23.00.
Answer:
75% of 35 is 8.75
Step-by-step explanation:
