Per: Homework 4: Angle Addition Postulate
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1. Use the diagram below to complete each part.
a) Name the vertex of 24.
D
1
b) Name the sides of 21.
5 B
c) Write another name for 25.
E 4
d) Classify each angle:
F
ZFBC:
ZEBE:
ZABC:
g) Name an angle bisector.
• BF I AC
h) If mZEBD = 36° and mZDBC = 108°, find mZEBC.
i) If mZEBF = 117°, find mZABE.
2. If mZMKL = 83', mZJKL = 127", and
3. If mZEFH = (5x + 1), m_HFG = 62, and
mZJKM = 19% - 10)”, find the value of x.
mZEFG = (18x + 11), find each measure.
А
M1
5H

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation:

what's the question?

step-by-step explanation:

there is no question.

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.