Answer:
-3
Step-by-step explanation:
you can divide the second term by the first term to solve
39/-13 = -3
then, I like to check that this fits with the third term
39*-3 = -117
so the common ratio is -3
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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One is the fraction name point on the number line
Answer:
(-2.2,-3)
Step-by-step explanation:
Answer:
y=-2.4y
Step-by-step explanation:
First you want to restate the problem.
-3(y+3)=2y+3
Now distribute the negative.
-3y-9=2y+3
Add 3y to both sides.
-9=5y+3
Subtract 3 from both sides.
-12=5y
And solve.
-2.4=y
