Christian conducted a survey to find the favorite hobby of her classmates from 4 choices. He surveyed the same number of girls a
s boys. The table
shows his results
Name Number of Boys Number of Girls
Cooking
5
6
Drawing
4
5
Reading
10
10
Hiking
6
4
Which of the following statements about the data is true?
More girls than boys prefer hiking.
O Fewer students prefer reading than prefer cooking,
Twice as many sutdents prefer reading than prefer hiking,
The hobby that the most boys prefer is different than the hobby that most girls prefer
shows his results
Name Number of Boys Number of Girls
Cooking
5
6
Drawing
4
5
Reading
10
10
Hiking
6
4
Which of the following statements about the data is true?
More girls than boys prefer hiking.
O Fewer students prefer reading than prefer cooking,
Twice as many sutdents prefer reading than prefer hiking,
The hobby that the most boys prefer is different than the hobby that most girls prefer
1 answer:
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Hello and Good Morning/Afternoon:
<u>Let's take this problem step-by-step</u>:
<u>What does the information want:</u>
- value of x
- value of y
<u>Let's gather some information</u>:
- ΔA'BC' and ΔABC are similar triangles
⇒ Angle B is shared by both triangles
⇒ Angle A' and A are the same, as they are both on parallel
lines, A'C' and AC, and both angles are formed with the
same line AB
⇒ by the <em>Angle-Angle Theorem*</em>, they are similar triangles
<u>If they are similar triangles</u>:
⇒ their side lengths are proportional to each other
- let's find x's value
⇒ let's set up a proportion
- let's find y's value
⇒ let's set up a proportion
<u>Answer:</u>
- <u>x= 17.143</u>
- <u>y = 26.25</u>
Hope that helps!
#LearnwithBrainly
Answer: Here’s some help
Step-by-step explanation:
