<u>Answer:</u>
1/5
<u>Step-by-step explanation:</u>
We are to find the scale factor of the dilation that maps the pre-image of triangle ABC with vertices A(−3, 4), B(−1, 12) and C(4, −2) to the image triangle A'B'C' with vertices A' (−0.6, 0.8), B' (−0.2, 2.4) and C' (0.8, −0.4).
Center of dilation is at the origin.
To find the scale factor, we will divide the corresponding vertices of the image and pre-image.
A (−3, 4) ---> A' (−0.6, 0.8) = 
B(−1, 12) ---> B' (−0.2, 2.4) = 
C(4, −2) ---> C' (0.8, −0.4) = 
Therefore, the scale factor of the dilation is 1/5.
Answer:
∠ACB = 72
Step-by-step explanation:
OAD is straight line.
∠DAB + ∠OAB = 180
142 + ∠OAB = 180
∠OAB = 180 - 142
∠OAB = 38
ΔAOB is isosceles triangle. OA = OB = radius
∠OAB = ∠OBA = 38 {angles opposite to equal sides or equal}
In ΔAOB ,
∠OAB + ∠OBA + ∠AOB = 180 {Anlge sum property of triangle}
38 + 38 + ∠AOB = 180
76 + ∠AOB = 180
∠AOB = 180 - 76
∠AOB = 104
THe angle subtended by an arc of a circle at the center is double the angle subtended by it at any point on the remaining part of the circle
∠AOB = 2*∠ACB
∠ACB = ∠AOB/2
= 104/2
∠ACB = 72
Answer:
D
Step-by-step explanation:
Solve for X:
3x-8≥7
3x≥15
x≥5
Any value of x is greater than or equal to 5
This is represented by answer D
We cannot see the qurstion take a clearer picture
Answer:
Percentage increase = 269%
Step-by-step explanation:
Price of a DVD last week = $2.87
Price of the same DVD this week = $10.59
Increase in the price of DVD between last week and this week = 10.59 - 2.87
= $7.72
Therefore, percentage increase in the price of DVD = 
= 
= 268.99
= 269%
