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
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Answer:
4:05 PM / 16:05
Step-by-step explanation:
Time starts at 2:25.
After the ride home (15 minutes), it will be 2:40.
Then, after the bike ride it will be 3:10.
When he's finished with his homework, it will be 4:05.
A is NOT a function because for some values of x you get more than one y value. For example if x=2 you get 2 values for y.
b is a function because for each x you get ONLY one y
So,
5y*3 is the open phrase the student uses to model "the sum of 5y and 3".
"The sum of" means addition. The student put 5y*3, while the sum of 5y and 3 is actually 5y + 3.
<u>Answer </u>
B. Vertex
<u>Explanation</u>
A vertex is the meeting point of two rays or lines. It is also defined as the point where two or more edges meet. The rays begin and go in two different directions from the vertex.
In geometry we can say that, it is where each angular point of a polygon, polyhedron, or other figure.
