The measure of ab and df are 3cm and 7.5cm respectively
<h3 /><h3>Similarity theorem of shapes</h3>
In order to determine the missing sides, we need to take the ratio of the similar sides as shown:
1) ab/de = ac/df
ab/de = ab+bc/df
Substitute the given values
ab/2 = ab+4.5/2+3
ab/2 = ab+4.5/5
2(ab+4.5) = 5ab
2ab+9=5ab
3ab = 9
ab = 3cm
Hence the measure of ab is 3cm
2) ae/ce = bf/df
24/9 = 20/df
24df =. 9(20)
24df = 180
df = 7.5cm
Hence the measure of ab and df are 3cm and 7.5cm respectively
Learn more on similar shapes here: brainly.com/question/11920446
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Answer:
Abby is the answer
Step-by-step explanation:
When you calculate Abby’s free throws you should realize
40 - 36 = 4
However with Alex’s free throws you calculate
60 - 54 = 6
When you compare the two Abby has a higher percentage of attempts because she was more successfu!
Answer:
The correct option is C:
C) The representative sample contained more girls than boys.
Step-by-step explanation:
It is given that a random sample is chosen from a total students of 160 students. The sample can be of 10,15 or any small numbers of students as compared to 160. However, a sample cannot be of 160 students as it is defined as a population in this case.
A random sample is always unbiased. Which means that the sample chosen should have around the same proportion of girls to boys as it is in the population of 160.
We know that:
Total boys in 160 = 65
Total girls in 160 = 95
Proportion of girls to boys = 95/65 = 1.462
Which means that for every 1 boy, there are 1.462 of girls.
The same ratio is held in a random sample, hence the total number of girls will be greater than boys
A' is (-12, 6)
B' is (0,6)
C' is (3, -3)
D' is (-9, -3)
Hope this helps!