Answer:
16. x = 16
17. x = 11
Step-by-step explanation
15.
a. 58* Angle 2 = Angle 4 Angle 1 + Angle 2 = 180*
b. 58* Angle 3 + Angle 4 = 180*
c. 58* Angle 1 = Angle 6
d. 58* Angle 6 = Angle 8
e. 122* Angle 4 = Angle 2
f. 122* Angle 4 = Angle 5
g. 122* Angle 5 = Angle 7
16. Alternate Interior angles. They're equal.
10x - 29 = 8x + 3
2x = 32
Divide by 2 to isolate x
x = 16
double check by putting 16 in for x to see if original statement is true
10 (16) - 29 = 8 (16) + 3
160 - 29 = 128 +3
131 = 131
17. Consecutive interior angles. They equal 180*
13x - 26 + 5x + 8 = 180
18x - 18 = 180
18x = 198
Divide by 18 to isolate x
x = 11
Double check
13 (11) - 26 + 5 (11) + 8 = 180
143 - 26 + 55 + 8 = 180
180 = 180
Answer:
f(x) = f(-x) = x^2 -1 is an <u>even</u> function
Step-by-step explanation:
When f(x) = f(-x), the function is symmetrical about the y-axis. That is the definition of an <em>even</em> function.
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An odd function is symmetrical about the origin: f(x) = -f(-x).
