5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore,

.
Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B =

Now, remember that ∠B or ∠D are supplements of ∠A.
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° =
108°.
That seems reasonable, because A appears to be an obtuse angle.
6)
m∠BAE + m∠DAE + m∠ABC = 180°

∠ABC ≅ ∠ADC.
m∠ABC =

m∠ADC =
81°.
7)






DC =
29
The average rate of change of g over the interval [-2, 4] is 4
<h3>What is the
average rate of change of g over the interval [-2, 4]?</h3>
The equation of the function is given as:
g(x) = 4x + 7
Calculate the value of the functions
g(-2) and g(4)
So, we have:
g(-2) = 4 * -2 + 7 = -1
g(4) = 4 * 4 + 7 = 23
The average rate of change of g over the interval [-2, 4] is then calculated as:
Rate = g(4) - g(-2)/4 - 2
This gives
Rate = (23 + 1)/(4 + 2)
Evaluate
Rate = 4
Hence, the average rate of change of g over the interval [-2, 4] is 4
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Complete question
g(x) = 4x + 7
What is the average rate of change of g over the interval [-2, 4]?
P(7) = 57
Porque :
P(x) = x^2 + x + 1
P(7) = 7^2 + 7 + 1
P(7) = 49 + 7 + 1
P(7) = 57 ✔️
<span> a∥e , m∥n , and m∠2 = 117°
<5 = 180 - <2
<5 = 180 - 117
<5 = 63
answer
</span><span>63°</span>
Answer:
The answer you want is indeed, (C).
8.04
ED2021