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Mark brainliest please
Hope this helps you
Is it 4 times x or 4 to the power of x, if the first one then, 8x-24x. if the second then 8^-6x
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
#SPJ1
Answer:
<h2>2(-14x-4y-1) /
-28x-8y-2</h2>
Step-by-step explanation:
2(3x + 12y - 5 - 17x - 16y +4)
the 2 outside the bracket means we need to multiply everything by 2
=
6x+24y-10-34x-32y+8
now put all the like-terms together
6x-34x+24y-32y+8-10
now add them together
=-28x-8y-2
now find the HCF
2
put 2 outside the bracket and then divide every number by 2
2(-14x-4y-1)
this is as simplified it can get