x = 37.5 (or) 
Solution:
Given 
AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x
To find the value of x:
Property of similar triangles:
If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.


Do cross multiplication, we get


Subtract 30x from both sides of the equation.

Divide by 20 on both sides of the equation, we get
x = 37.5 (or) 
Hence the value of x is 37.5 or
.
Answer:
15
Step-by-step explanation:
Let us first write an equation where the unknown number is represented with variable x. <em>The sum of a fifth of x and two is five:</em>

Great! Let's solve for x by isolating the variable.

<u>Therefore, the unknown number is 15.</u>
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<em>I hope this helps! Let me know if you have any questions :)</em>
My final answer is (C) because for the side lenghts to be a right triangle, the values of the first and second terms should be equal to the third (a^2 and b^2 =c^2) hope that helped (:
Answer:
-2
Step-by-step explanation:
8 (-2x + 1) = 30 - (-4 + 3x) Distribute
-16x + 8 = 30 + 4 - 3x Combine like terms
-16x + 8 = 34 - 3x Rearrange terms
-13x = 26 Divide by -13 on both sides
x = -2
He would spend $65.80 on 20 gallons of gas.