The value of m ∠ RPS is 64. 7°
<h3>What are collinear angles?</h3>
Collinear angles are angles formed when three or more points lie on the same straight line.
Note that angles on a straight line sum up to 180 degrees.
From the diagram given, we can see that the angles are collinear angles and thus sum up to 180 degrees;
- m ∠QPS = 88°
- m ∠ RPS = 5x + 34°
- m ∠ QPR = 8x + 15°
m ∠QPS + m ∠ RPS + m ∠ QPR = 180°
88° + 5x + 34° + 8x + 15° = 180
collect like terms
5x + 8x = 180 - 137
Add like terms
13x = 43
Make 'x' the subject of formula
x = 43/ 7
x = 6. 14
m ∠ RPS = 5x + 34 = 5 ( 6. 14) + 34 = 30. 7 + 34 = 64. 7°
Thus, the value of m ∠ RPS is 64. 7°
Learn more about collinear points here:
brainly.com/question/3307641
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Answer:
The area of the base is 14.5π in²
Step-by-step explanation:
The volume of a cylinder is given by
Volume =base\:area \times height
Or
V=Bh
It was given that the volume of the cylinder is 174π in³.
The height was given as 12 inches.
We substitute to get,
174π=12B
Divide both sides by 12 to get:
B=14.5π in²
Hence the area of the base is 14.5π in²
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Well, the house grew 73 k throughout the 6 years, so it grew around 12.16 k each year. 12.16/104= approximately 11.6923%
Rounded to the nearest 1/10 of a percent, it's 11.7%
A rational answer 2 + 2 = 4
Answer:
perimeter is 34
area is 72
Step-by-step explanation:
side lengths are 8,8,9,9
add all 4 up to get perimeter of 34
area is 9x8 which is 72
