Answer:
x = 8
Step-by-step explanation:
It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.
30 ÷ 25 = 1.2
Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;
1.2 (35) = 4x + 10
Simplify,
42 = 4x + 10
Inverse operations,
42 = 4x + 10
32 = 4x
8 = x
Answer:
It's the second answer
Step-by-step explanation:
A(7,5) B(-4,-1)
y-yA/yB-yA= x-xA/xB-xA
y-5/-1-5=x-7/-4-7
-11y+55=-6x+42
-11y=-6x-13
y=6/11×+13/11
Answer:
c. 5x - 3 = 125
Step-by-step explanation:
Mrs. Jones deducts $3 from each of her 5 children's allowances this week because they didn't finish their chores. They then received a total of $125 in allowance. a. 5(x - 3) = 125
b. 5x - 15 = 125
c. 5x - 3 = 125
d. 5x = 140
Solution:
Let x represent the allowance for each of Mrs. Jones children. Since she deducts $3 from each children because they didn't finish their chores, the allowance for each child becomes x - 3.
There are 5 children, hence the allowance for the 5 children would be:
5(x-3)
Since they received a total of $125 in allowance, hence:
5(x-3) = 125
5x - 15 = 125
5x = 125 + 15
5x = 140
Option c is wrong
Answer:
Step-by-step explanation:
Multiply 5x4.49= 22.45
Do the same for the gasoline G5x2.59= 12.95
T22.45+12.95= 35.40