Step-by-step explanation:
Given mCDF = (3x + 14), mFDE = (5x - 2), and mCDE = (10x – 18)", then the expression mCDE = mCDF+mFDE is true.
To get x, we will substitute the given angles into the formula as shown;
(10x – 18) = (3x + 14)+ (5x - 2)
10x-18 = 3x+5x+14-2
10x-18 = 8x+12
10x-8x = 12+18
2x = 30
x = 30/2
x = 15
Find the measure of each angle
For mCDF:
mCDF = 3x + 14
mCDF = 3(15)+ 14
mCDF = 45+14
mCDF = 59°
For mFDE:
mFDE = (5x - 2)
mFDE = 5(15) - 2
mFDE = 75-2
mFDE = 73°
For mCDE:
mCDE = (10x – 18)
mCDE = 10(15) - 18
mCDE = 150-18
mCDE = 132°
Answer: 8
Step-by-step explanation:
As corresponding sides of similar triangles are proportional,
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Answer:
2
Step-by-step explanation:
-(-1) + (-7) + (2) - (-4) - (-2) =
= 1 + (-7) + 2 + 4 + 2
= -6 + 2 + 4 + 2
= -4 + 4 + 2
= 0 + 2
= 2
Answer:
D. 6x^3 + 8x
Step-by-step explanation:
2x(3x^2 + 4)
Distribute the 2x
2x(3x^2) +2x( 4)
6x^3 +8x