13(6x – 5) – x = 13 – 2(x + 1
1 answer:
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Answer:
x = 35°
Step-by-step explanation:
These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.
These angles are congruent, so you can set them equal to each other:
Then, just solve for x:
You can check that by plugging it back into both:
Answer:
12
Step-by-step explanation:
These triangles are similar using the AA theroem. This means there sides are in corresponding proportion.
Side AR and Side TE are corresponding. Use this proportion.
This side the triangle SAR side lengths are 3/4 of side lengths of triangle SET.
We know that RS+ST=21
And that RS=3/4(ST).
x=12.
Side ST is 12
Answer:
a. Take a grid that shows represents the amount of money Frank has,
Say F,
( shown below ),
b. Since, Marissa has twice as much money as Frank,
So, the amount Marissa has = 2F
If M represents the amount Marissa has,
M = 2F
c. Now, Christina has $20 more than Marissa,
Add 20 to the grid M
d. The below diagram provides enough information to determine the value of the variable m
e. The amount Christina has = M + 20 = 2F + 20
According to the question,
2F + 20 = 100
2F = 80
F = 40
Hence, the amount frank has = $ 40,
Amount Marissa has = 2(40) = $ 80,
