Answer:0.0
Step-by-step explanation:
Answer:
They did it exactly how it is set out
Step-by-step explanation:
Here in this question, we are to solve for x and get the measure of Angle A
Mathematically,
∠A = ∠B
The reason for this is because both are corresponding angles and corresponding angles are equal.
Since they are equal in value, we can equate the given expressions for each of the two angles
Thus;
7x + 40 = 3x + 112
Let us collect like terms
7x-3x = 112 - 40
4x = 72
x = 72/4
x = 18
But the question asks to get the value of ∠A
From the questionn, we are told that ∠A = 7x + 40
To get the value of ∠A, we need to substitute x
∠A = 7(18) + 40
∠A = 126 + 40
∠A = 166
∠A = 166 and x = 18
The length of the new sidewalk between the Dormitory to the recreation center is 143 yards
We need to understand the concept of Bearing and Distance in order to be able to determine how long is the new sidewalk.
<h3>What are Bearing and Distance?</h3>
The Bearing of an angle measures the movement of an angle in a clockwise direction starting from the North Pole. However, the distance shows how the length of the sides of the angle can also be measured.
From the diagram attached below:
- The adjacent of the sidewalk way = 80 yards.
- The hypotenuse shows the new sidewalk way = x( unknown)
- The angle θ = 56°
Using the relation from trigonometry:




x ≅ 143 yards
Learn more about Bearing and distance here:
brainly.com/question/17007896