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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1 yard = 3 foot. 1 Foot = 12 inches.
She has 2 yards, 3 inches which = 6 foot 3 inches.
She needs 5 foot 9 inches.
She has more than enough, and to work out how much she has left -
3 inches - 9 inches = -6 inches. -0.5 foot.
6 foot - 5 foot = 1 foot.
1 foot - 0.5 foot. = 0.5 foot. She has 0.5 foot left over
This doesn't have enough information. it spend on ages, how many children per generation, if direct bloodlines only or adoption count, half relatives, etc.
Answer:
3,200
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
c(p)=12.5p+4500
12.5p means that for each part it will cost $12.50, but the initial cost is $4500.
