Answer:
m<Q = 133°
Step-by-step explanation:
From the question given above, the following data were obtained:
m<P = (x + 13)°
m<Q = (10x + 13)°
m<R = (2x – 2)°
m<Q =?
Next, we shall determine the value of x. This can be obtained as follow:
m<P + m<Q + m<R = 180 (sum of angles in a triangle)
(x + 13)° + (10x + 13)° + (2x – 2)° = 180
x + 13 + 10x + 13 + 2x – 2 = 180
x + 10x + 2x + 13 + 13 – 2 = 180
13x + 24 = 180
Collect like terms
13x = 180 – 24
13x = 156
Divide both side by 13
x = 156 / 13
x = 12
Finally, we shall determine m<Q. This can be obtained as follow:
m<Q = (10x + 13)°
x = 12
m<Q = 10(12) + 13
m<Q = 120 + 13
m<Q = 133°
Answer:
59
Step-by-step explanation:
45 +14 = 59
because there is 14 months in your equation. simply take the question and add 14.
Answer: f(x) = 2x - 3
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We're given f(-1) = -5 and f(5) = 7
This means we know the two points (-1,-5) and (5,7) are on the line.
Find the slope
m = (y2-y1)/(x2-x1)
m = (7-(-5))/(5-(-1))
m = (7+5)/(5+1)
m = 12/6
m = 2
The slope is 2.
Use this along with (x1,y1) to find the equation. We'll use point slope form
y - y1 = m(x - x1)
y - (-5) = 2(x - (-1))
y + 5 = 2(x + 1)
y = 2x + 2 - 5
y = 2x - 3
f(x) = 2x - 3
Answer:
305
Step-by-step explanation:
100×8=800
240÷800 = 0.3
0.3×100=30%
Add -2 on the both sides
x+2-2=9-2
x=7