Answer:
x = 14.6
ZA = 30.8
ZB = 33.2
Step-by-step explanation:
First, solve x: (knowing all angles of a triangle are 180º)
116º + (2x + 4)º + (3x-13)º = 180º
116 + 2x + 4 + 3x - 13 = 180
2x + 3x = 180 + 13 - 4 - 116
5x = 73
x = 73/5 = 14.6
ZA = 3*14.6 - 13 = 30.8
ZB = 2*14.6 + 4 =33.2
Test:
116º + 33.2º + 30.8º = 180º
Answer:
see below
Step-by-step explanation:
The mapping tells you how to find the vertices of the image:
(x, y) ⇒ (x +2, y -3)
S(-3,-2) ⇒ S'(-3 +2, -2 -3) = S'(-1, -5) . . . . . matches choice D
T(-4, 3) ⇒ T'(-4 +2, 3 -3) = T'(-2, 0)
V(-2, 3) ⇒ V'(-2 +2, 3 -3) = V'(0, 0)
Answer:
2.0/4.0
Step-by-step explanation:
Answer:
(15, 12)
Step-by-step explanation:
Let's generate two systems of equations that fit this scenario.
Number of trips to the airport = x
Number of trips from the airport = y
Total number of trips to and from the airport = 27
Thus:
=> equation 1.
Total price for trips to the Airport = 14*x = 14x
Total price of trips from the airport = 7*y = 7y
Total collected for the day = $294
Thus:
=> equation 2.
Multiply equation 1 by 7, and multiply equation 2 by 1 to make both equations equivalent.
7 × 
1 × 
Thus:
=> equation 3
=> equation 4
Subtract equation 4 from equation 3
-7x = -105
Divide both sides by -7
x = 15
Substitute x = 15 in equation 1


Subtract both sides by 15


The ordered pair would be (15, 12)