Hello,
see picture.
------------------------------
Complete question is;
Henri conducts an experiment to determine who likes peanut butter more: boys or girls. He has 25 girls and 25 boys taste some peanut butter and then rate it on a scale of 1 - 10 with 1 being cannot stand and 10 being tastes delicious. He finds that the girls had a mean of 7 with a range of 9 and the boys had a mean of 8 with a range of 5. Which statement is true?
A) On average, girls like peanut butter more than boys.
B) The person who rated peanut butter the worst was a boy.
Reactivate
C) Girls varied more in how they liked peanut butter than the boys did.
D) There is not enough information to know if any of the above are true
Answer:
Option C) Girls varied more in how they liked peanut butter than the boys did.
Step-by-step explanation:
From the options the most appropriate will be option C which says: Girls varied more in how they liked peanut butter than the boys did..
This is because in the experiment, henri found out that the girls had a mean of 7 with a range of 9 and the boys had a mean of 8 with a range of 5.
The range of the girls responses are far higher than that of the boys.
So it means their ratings were more varied and not within similar ratings scale.
Use the Law of Sines (sina/A=sinb/B=sinc/C for any triangle)
YZ/sin30=50/sin90
YZ=50sin30 (sin90=1 :P)
YZ=25m
Use the 30,60,90° triangle ratios 1, √3, 2
YZ/1=50/2
YZ=25m
Using the Pythagorean Theorem....
(2*25)^2=YZ^2+(√3*YZ)^2
2500=YZ^2+3YZ^2
2500=4YZ^2
625=YZ^2
25m=YZ
Answer:
The given quadrilateral is a parallelogram.
Step-by-step explanation:
If a quadrilateral is a parallelogram , then the opposite sides would be equal.
Here we are going to equate the length of 1 pair of opposite sides to find the value of x and use this value of x to verify whether the other pair of opposite sides are equal.
AB = 6x
BC = 3x
DC = x + 15
AD = 9
Equate AB and CD,
6x = x + 15
5x = 15
x = 3
Now BC and DA should be equal.
BC = 3x = 9
Also DA = 9
As we can see, the other pair of opposite sides are also equal.
Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent.
Hence , the given quadrilateral is a parallelogram.