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:
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Answer:
don't know
Step-by-step explanation:
sorry buddy
Good morning ☕️
Answer:
Step-by-step explanation:
35r-21 < -35r+19
⇌ 35r + 35r < 19 + 21
⇌ 70r < 40
⇌ r < 40/70
⇌ r < 4/7
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Answer:
i think 36
Step-by-step explanation:
1152 / 32= 36
18 - (8 - 3 • (2t + 5)) = 0
6t + 25 = 0
3.1 Solve : 6t+25 = 0
Subtract 25 from both sides of the equation :
6t = -25
Divide both sides of the equation by 6:
t = -25/6 = -4.167
Final answer is
t = -25/6 = -4.167
