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: C
Step-by-step explanation:
Answer:
The answer to your question is: 30 miles can the car travel.
Step-by-step explanation:
Data
gasoline used = 11 1/2 gal
distance = 345 mile-trip
distance travel with 1 gal = ?
Process
Convert 11 1/2 to a improper fraction 11 1/2 = 23/2
Rule of three
23/2 gal ----------------------- 345 miles
1 gal ---------------------- x
x = (1 x 345) / 23/2
x = 345 / 23/2
x = 690/ 23
x = 30 miles
Answer:
The slope is 4.
Step-by-step explanation:
Point slope form is y-y1 over x-x1. I put the coordinates in like this.
9-(-7) over 3-(-1) so thats 9+7 over 3+1. 16 over 4 is 4.
Answer:
72
Step-by-step explanation:
Find the Rule :
2-1=1
3-1.5=1.5= constant
Verification :
1x1.5=1.5
2x1.5=3
9x1.5=13.5
48x1.5=72
What is the rule for input-output table?
An input-output table, like the one shown below, can be used to represent a function. Each pair of numbers in the table is related by the same function rule. That rule is: multiply each input number (x-value) by 1.5 to find each output number (y-value)
