Similar figures are figures of the same shape but different (or same) size.
Thus, they look the same, but one is bigger than the other by a scale factor.
Congruent figures are figures of the same shape AND same size.
They can be mapped onto each other using any type of transformation (besides dilations).
Similar figures can be dilated.
<span>With a boys to girls ratio of 8:7, this means 8/15 of the campers are boys and 7/15 of the campers are girls.
We are told that there are 195 total campers.
To find # of boys: 195 (the total # of campers) x 8/15 (fraction of the campers that are boys) = 104 boys
To find # of girls: 195 (total # of campers) x 7/15 (fraction of the campers that are girls) = 91 girls
Note: If you do not know how to multiply by fractions, let me know, I have another trick that takes more time but doesn't require the use of fractions.
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Nahhhh
So basically WHERE DID THE x COME FROM anyway ???
5 * 7 = 35
but
IT DOES NOT EQUAL TO
57x
It might be true depending on what the x value is, but you dont know what the x value is so ...
Answer:
Step-by-step explanation:
In a right triangle the tangent of an angle is the ratio of the opposite length over the adjacent*. In formulas, 
Solving for x, using a calculator for the tangent,
*I promise I didn't just spellcheck that.
Answer:
p value from chi square = 0.081
Step-by-step explanation:
Given that sociologists say the percentage of the classic music lovers is about 5%. From the survey, we know that only 83 out of 2000 people listen to the classic music. Let denote the proportion of the classic music lovers. The hypotheses are H0: p=0.05 vs Ha: p≠0.05
p value = 0.09
Instead of this if we do chi square
H0: Proportion of music lovers is 5% and non music lovers is 95%
Ha: Proportions are not as per the estimate
(Two tailed chi square test)
Observed 83 1917 2000
Expected 100 1900 2000
O-E -17 17 0
chi square
(O-E)^2/E 2.89 0.1521 3.0421
df =1
p value from chi square = 0.081
Though p value is not exactly the same, the conclusion in both tests are the same
