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:
x = 3.6
Step-by-step explanation:
1 (4) = 4
0.9 (4) = 3.6
x = 3.6
There is a sequence... adding 0.9 to each side (at different lengths).
Answer:
Step-by-step explanation:
1 batch= 1 and 1/3 cups
2 batches= 2 and 2/3 cups
3 batches= 4 cups
4 batches= 5 and 1/3 cups
The given trinomial can be factored using the factorization method.
x² -12x + 35
= x² -7x -5x + 35
= x(x-7) - 5(x-7)
= (x-7)(x-5)
Thus, (x-7)(x-5) is the factored form of the polynomial.
So the correct answer is option B
Answer:
sheeeeeeeeeeeeeesh
Step-by-step explanation:
