Answer:
Step-by-step explanation:
Given
Required
Determine the line equation
This question will be answered using linear interpolation.
This is represented as thus:
Substitute values for x1,x2,y1 and y2
Cross Multiply
Make y the subject
Answer:
https://www.symbolab.com/graphing-calculator
Step-by-step explanation:
this is a great thing to use
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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In order to find 150% of something, you would add half of the value to itself. so for example, 150% of 9 would be 13.5 because 4.5 is half of 9 and 4.5 • 9 is 13.5. hope this helps!!
Answer:
185 times
Step-by-step explanation: