Answer:
m∠QPR = 20°
Step-by-step explanation:
If we make a sketch of the triangle, it will be observed, that line R bisects angle P.
Considering Triangle, ΔQPS;
∠QPS=107∘
Considering triangle, QPR;
∠QPR=9x-115∘
Considering triangle, RPS;
∠RPS=4x+27∘
Thus, ∠RPS + ∠QPR = ∠QPS
4x+27° + 9x-115° = 107°
13x - 88° = 107∘
13 x = 107∘ + 88∘
13x = 195°
x = 195°/13
x = 15°
m∠QPR = 9x - 115°
= (9 x 15) - 115°
= 135° - 115°
= 20°
Therefore, m∠QPR = 20°
The average rate of change of the function is: 3.2.
<h3>What is the Average Rate of Change for a Function?</h3>
Average rate of change = 
Given the function, 
, the average rate of change over the interval of x = 2 to x = 6 would be calculated as shown below:
a = 2
b = 6
f(a) = f(2) = 3.2(2) + 25 = 31.4
f(b) = f(6) = 3.2(6) + 25 = 44.2
Average rate of change = (44.2 - 31.4)/(6 - 2) = 3.2.
Learn more about average rate of change on:
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Answer:
1/36
Step-by-step explanation:
To get a sum of 2, both dice must roll a 1.
The probability of a 1 on the first die is 1/6.
The probability of a 1 on the second die is 1/6.
Therefore, the probability of rolling both 1s is:
P = 1/6 × 1/6 = 1/36
Answer:
10
Step-by-step explanation:
7*2 - 2*2 = 14 - 4 = 10
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The circumference of every circle is (pi) times (diameter).
The diameter is (2 x radius), so we can write
Circumference = (pi) x (2 x radius) .
The question gives us the circumference, and the number to use for (pi).
I shall now pluggum in:
(31.4 cm) = (3.14) x (2 x radius)
Divide each side by 3.14: (31.4 cm)/(3.14) = 2 x radius
Divide each side by 2 : (31.4 cm) / (2 x 3.14) = radius
5 cm = radius
