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A good site to use for problems like this is Wolfram Alpha, just google it and it should show up!
I think that the answer is B.0.0000000861
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
#SPJ1
Answer:
Number pencils Ava bought = 2
Explanation:
Price of pen = 2 $
Price of pencil = 1 $
Total money spent = 12 $
Let the number of pen be a and number of pencil be b.
2 a + b = 12 -----------------------------------Equation 1
We have, she bought 3 more pens than pencils
a - b = 3 -------------------------------------- Equation 2
Equation 1 +Equation 2,
2 a + b + a - b = 12 + 3
3a = 15
a = 5
Substituting in equation 2
5 - b = 3
b = 2
Number pencils Ava bought = 2
Nevermind I did this wrong, forget that I had a answer.
