Answer:
x = 7
Step-by-step explanation:
See the attached figure.
As shown: A C D F is a trapezoid and BE is a mid-segment.
The mid-segment of the trapezoid is the average of its bases.
BE = 0.5 ( A F + C D)
Given: CD = 18 , BE = 2x + 10 and A F = 6x - 12
So,
2x + 10 = 0.5 ( 18 + 6x - 12)
Solve for x
2x + 10 = 0.5 (6 + 6x)
2x + 10 = 3 + 3x
10 - 3 = 3x - 2x
∴ x = 7
<u>So, the value of x is 7</u>
Short answer = false
Remark
If it is a right triangle, it will obey the Pythagorean Equation. a^2 + b^2 = c^2. Let's see if it does.
Equation
a^2 + b^2= c^2
c must be the longest line. (Hypotenuse)
Givens
a = 24
b = 17
c = 40
Sub and Solve
a^2 + b^2 = c^2
17^2 + 24^2 = c^2 [We'll see if this comes out to 40]
289 + 576 = c^2
865 = c^2 which is no where near what 40^2 equals. 40^2 = 1600
Short answer False
Square root of 865 = (865)^1/2 = 29.4
Answer:
B. 165 degree angle
Step-by-step explanation:
You can write this ratio in two other ways:
7 to 13
7 : 13
