Answer: the answer is A.4
Step-by-step explanation:
Dilation in this context is the transformation is an object into a larger one.
ABC is transformed to A'B'C'
To get the scale factor, we divide the coordinates of A'B'C' by ABC
i.e
A'/A = -28/-7, 32/8 = 4
Or
B'/B = 4/1, -28/-7 = 4
Or
C'/C = 28/7, 24/6 = 4
The midpoints are (8,3) and (6.5,6).
<u>Step-by-step explanation</u>:
Midpoint formula = ((x1+x2)/2 , (y1+y2)/2)
(x1,y1) = (5,2)
(x2,y2) = (11,4)
Midpoint = ((5+11)/2 , (2+4)/2)
⇒ ((16/2) , (6/2))
⇒ (8,3)
(x1,y1) = (3,8)
(x2,y2) = (10,4)
Midpoint = ((3+10)/2 , (8+4)/2)
⇒ ((13/2) , (12/2))
⇒ (6.5,6)
Y= -x^2. That’s the answer
If the ratio of two consecutive exterior angles are 11:7, the supplement of the larger angle will be <u>70 degrees</u>.
The larger angle and the smaller angle are supplementary to each other since they are consecutive exterior to one another.
If the larger angle is x, therefore:
Ratio of Larger angle to smaller angle = 11:7
11x + 7x = 180 degrees
18x = 180
x = 10
Larger angle = 11x = 11(10) = 110 degrees
Smaller angle = 7x = 7(10) = 70 degrees
The supplement of the larger angle, 110 degrees, is <u>70 degrees.</u>
In summary, if the ratio of two consecutive exterior angles are 11:7, the supplement of the larger angle will be <u>70 degrees</u>.
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