The similarity ratio of ΔABC to ΔDEF = 2 : 1.
Solution:
The image attached below.
Given ΔABC to ΔDEF are similar.
To find the ratio of similarity triangle ABC and triangle DEF.
In ΔABC: AC = 4 and CB = 5
In ΔDEF: DF = 2, EF = ?
Let us first find the length of EF.
We know that, If two triangles are similar, then the corresponding sides are proportional.
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⇒ 
⇒ 
⇒ 
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Ratio of ΔABC to ΔDEF = 
Similarly, ratio of ΔABC to ΔDEF = 
Hence, the similarity ratio of ΔABC to ΔDEF = 2 : 1.
Answer:
h(g(0)) = 1 - 3y^2 .
Step-by-step explanation:
Answer:
9/8
Step-by-step explanation:
3/16 x 6=18/16=9/8
C = (5,4)
D = (4,2)
Dilation with factor 8 => for the same x, y increase by a factor of 8
=> C' = (5, 8*4) = (5, 32)
=> D' = (4, 8*2) = (4, 16)
slope of C'D' = [32 - 16] / [5 -4 ] =16
You can also see that the slope of CD = [4 - 2] / [5 - 4] = 2
Then, the new slope is 8 times the old slope, this is it was multiplied by the same factor, 8.
Answer: 16
Answer: 112 7th graders ride the bus .
Step-by-step explanation:
Given: The proportion of 7th graders ride the bus to school= 35% = 0.35 [to remove % we divide number by 100]
If there are 320 seventh graders, then the number of 7th graders ride the bus = 320 x (proportion of 7th graders ride the bus to school)


Hence, 112 7th graders ride the bus .