<u><em>Answer:</em></u>
- 84x - 70
<em><u>Step-by-step explanation:</u></em>
We want to combine like terms:
-10 - 90x + 6x - 60
We can see (-10) and (-60) are both regular constants so:
- 10 - 60 = - 70
Then (-90x) and (+ 6x):
6x - 90x = - 84x
- 84x - 70
Answer:
(a) and (b) are not equivalent
(c) is equivalent
Step-by-step explanation:
Given
Required
Determine an equivalent or nonequivalent expression
We have:
Apply law of indices
<em>This is not equivalent to </em><em></em>
We have:
Apply law of indices
<em>This is not equivalent to </em><em></em>
<em></em>
<em />
<em />
We have:
<em />
<em />
Apply law of indices
<em />
<em />
<em />
<em />
<em>Evaluate the numerator</em>
<em />
<em />
<em />
<em>This is an equivalent expression</em>
a. The value of x is 7
b. The measure of ∠1 is 99°
<h3>Calculating angles </h3>
From the question, we are to solve for x
From the given diagram, we can write that
m∠NMQ + m∠MQN + m∠QNM = 180° (<em>Sum of angles in a triangle</em>)
From the given information,
m∠NMQ = 5x +19
m∠MQN = 8x -11
m∠QNM = 11x + 4
Then,
5x + 19 + 8x -11 + 11x + 4 = 180
Collect like terms
5x + 8x + 11x = 180 - 19 + 11 - 4
24x = 168
∴ x = 168/24
x = 7
Hence, the value of x is 7
b.
Measure of ∠1 + m∠QNM = 180° (<em>Sum of angles on a straight line</em>)
∴ Measure of ∠1 = 180° - m∠QNM
But m∠QNM = 11x + 4
∴ m∠QNM = 11(7) + 4
m∠QNM = 77 + 4
m∠QNM = 81°
Then,
Measure of ∠1 = 180° - 81°
Measure of ∠1 = 99°
Hence, the measure of ∠1 is 99°
Learn more on Calculating angles here: brainly.com/question/25716982
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Answer:
congruency
Step-by-step explanation:
