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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X=-.5, it’s less than 0, and concave up & increasing in this situation are the same.
Answer:
11.95
Step-by-step explanation:
If she had $6.95 and she owed her friend 5 dollars that means the friend gave her 5 dollars. So $6.95 + $5 = to $11.95. So that's how much the snack cost
Answer:
21
Step-by-step explanation:
Try using this notation: a(n) and not an.
an=n^3-2n becomes a(n) = n^3 - 2n.
Then a(1) = 1^3 - 2(1) = 1 - 2 = -1
a(2) = 2^3 - 2(2) = 8 - 4 = 4
a(3) = 3^3 - 2(3) = 27 - 6 = 21
