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
.
The answer is 10/3, the whole number form of it is 3 1/3 :)
Answer: 22 miles per gallon
Step-by-step explanation: 66/3 = 22.
Slope-intercpet is y=mx+b where m=slope
b=y intercept
convert
-2x+7y=28
add 2x to both sides
7y=2x+28
divide both sides by 7
y=2/7x+4
slope=2/7
y-intercept=4 or the point (0,4)
Answer:
See explanation
Step-by-step explanation:
Find the diagonal of the square. The side of the square is 5 cm long. By the Pythagorean theorem,

If the square (being inside the circle) touches the circle, then the diagonal of the square is exactly the diameter of the circle. The diameter of the circle is twice the radius of the circle, so

Since the diagonal is shorter than the diameter, the square can fit into the circle without touching the circle.