The Suarez family paid $12.00 for 3 movie tickets. How much would they have paid for 12 tickets?
1 answer:
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Answer: DEb = 26°
Step-by-step explanation:
<u>Given information</u>
CEF = 7x + 21
FEB = 10x - 3
<u>Given expression deducted from the definition of the bisector</u>
FEB = CEF
<u>Substitute values into the expression</u>
10x - 3 = 7x + 21
<u>Subtract 7x on both sides</u>
10x - 3 - 7x = 7x + 21 - 7x
3x - 3 = 21
<u>Add 3 on both sides</u>
3x - 3 + 3 = 21 + 3
3x = 24
<u>Divide 3 on both sides</u>
3x / 3 = 24 / 3
x = 8
<u>Find the sum of the angle of CEF and FEB</u>
7x + 21 + 10x - 3
=7 (8) + 21 + 10 (8) - 3
=56 + 21 + 80 - 3
=77 + 80 - 3
=157 - 3
=154
<u>Subtract 154 from the straight angle</u>
DEB = 180 - 154
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Answer:
Option (D)
Step-by-step explanation:
If the two points and
are lying of the line.
Slope of the line represented by the function 'f' =
Two points are lying on the line are (-2, 4) and (0, -2).
Slope of the line passing through these points 'm' =
m = -3
Y-intercept of the line 'b' = -2 [From the graph]
Therefore, equation of the function will be,
f(x) = (-3)x - 2
f(x) = -3x - 2
Similarly, for other function represented by the line in red,
Slope of the line passing through (-6, 0) and (0, 6) =
m' = 1
Y-intercept of g(x) = 5 [From the graph]
Equation that represents the function g(x) = 1.x + 5
g(x) = x + 5
For g(x) = f(x)
-3x - 2 = x + 6
-3x - x = 2 + 6
-4x = 8
x = -2
Therefore, for x = -2 both the functions will have the value.
f(-2) = g(-2)
Option (D) will be the answer.