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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Each child will get 2 cookies,with two leftover. Technically 2.28, but rounding to a whole number is 2, because you wouldnt give a child .28 of a cookie lol
Answer: it’s the first 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
The last one is also the answer
Using the rational exponet rule,
![\sqrt[n]{ {x}^{m} } = x {}^{ \frac{m}{n} }](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7B%20%7Bx%7D%5E%7Bm%7D%20%7D%20%20%3D%20x%20%7B%7D%5E%7B%20%5Cfrac%7Bm%7D%7Bn%7D%20%7D%20)
Using this number,
40 is the base so it will stay same. Remember this is a square root sign so our nth root is 2 so our denominator if the rational exponet is 2.
so our numerator is 1 so
