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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X • (x-5) Add up the last 2 terms, pulling out common factors : 1 • (x-5) Step-5 : Add up the ... Step 2 :Theory - Roots of a product ... In other words, we are going to solve as many equations as there are terms in the product
I hope this help
The number is 8 since 9 squared is 81
( A u B) would be the combination of both sets.
Since both sets have all distinct numbers, just add the 2 sets together.
4 + 7 = 11
There are 11 elements.
Answer: -600 and 1600 were invested into the two accounts.
Step-by-step explanation:
x = amount invested in the first account.
y = amount invested in the second account.
You start off with this equation
Subtract both sides by y.
Subsitude 1000 - x for x for the second equation.
Use the distributive property to solve for y.
Subsitude -600 for y in the first equation and solve for x.
-600 and 1600 were invested into the two accounts.
