Answer:
∠ QRS = 43°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
4n - 9 + 5n - 18 + 90 = 180, that is
9n + 63 = 180 ( subtract 63 from both sides )
9n = 117 ( divide both sides by 9 )
n = 13
Thus
∠ QRS = 4n - 9 = 4(13) - 9 = 52 - 9 = 43°
∠ RSQ = 4n - 18 = 4(13) - 18 = 65 - 18 = 47°
Answer:
Step-by-step explanation:
Answer:
<h3>18</h3>
Step-by-step explanation:
From the given diagram;
FGH = 49
GH = 31
Using the expression to get FG;
FG + GH = FGH
FG + 31 = 49
FG = 49-31
FG = 18
Hence the measure of FG is 18
Answer:
Explanation:
3 + 2x - y = 0
Or 2x - y = -3 (1)
-3-7y = 10x
Or -10x - 7y = 3 (2)
2x - y = -3 (1)
-10x - 7y = 3 (2)
———————
Multiply 5 to (1)
5(2x - y = -3)
-10x - 7y = 3
———————
10x - 5y = -15
-10x - 7y = 3
———————
-12y = -12
y = -12/-12
y = 1
Plug y value in (1)
2x - 1 = -3
2x = -3 + 1
2x = -2
x = -2/2 = -1
Therefore, x = -1 and y = 1
F(x) = 2x² + x - 3
g(x) = x - 1
(f - g)(x) = (2x² + x - 3) - (x - 1)
(f - g)(x) = 2x² + (x - x) + (-3 + 1)
(f - g)(x) = 2x² - 2
The answer is D.