Answer:
<XYZ = 34
Step-by-step explanation:
Remark
Bisected angles means that the original angle (<XYZ in this case) has been cut exactly in half. The two parts that were created from <XYZ are equal so you need only solve for x, solve one of the halves and then double it.
Equation
3x - 7 = 2x + 1
Solution
3x - 7 = 2x + 1 Add 7 to both sides
3x - 7+7 = 2x +1+7 Combine
3x = 2x + 8 Subtract 2x
3x-2x = 2x-2x + 8 Collect like terms on both sides
x = 8
Solution 2
Find one of the bisected parts. You can choose either of the two parts so use 2x + 1
2x + 1
2*8+1
16 + 1
17
WYZ = 17 degrees
Solution 3
Double <WYZ to get <XYZ
<XYZ = 2 * 17
<XYZ = 34 degrees
Answer:
$0.059
Step-by-step explanation:
To find the unit price per sticker, divide the price by the amount of stickers.
$2/34 = $0.059
Use proportion
25%/100 division sign 10/x
100 * 10=25x
1000=25x
x=1000/25
x=40
so 40 is your answer
you welcome
Answer:
<em>The building is 61.5 m tall</em>
Step-by-step explanation:
The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:
h = height of the building
a, b = internal angles of each triangle
x = base of each triangle
The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:
a = 90° - 37° = 53°
b = 90° - 42° = 48°
Now we apply the tangent ratio on both triangles separately:



From the last equation:

Substituting into the first equation:

Operating on the right side:

Rearranging:

Solving for h:

Calculating:
h = 61.5 m
The building is 61.5 m tall