Answer:
The length of the other leg is 
Step-by-step explanation:
I will assume that the triangle is a right triangle
In a right triangle the legs are perpendicular
so
The area of a right triangle is equal to
where
a and b are the legs of the triangle
In this problem we have
substitute the values
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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Answer:
9,000
Step-by-step explanation:
If x < 5, we round down.
If x ≥ 5, we round up.
Since 8,503, 500 is ≥ 5, we round up to 9. So,
8,503 ≈ 9,000
Answer:
5
Step-by-step explanation:
u do 2x2 cuz of the square root and add the 1
