Answer:
C
Step-by-step explanation:
The rule of an 180⁰ degree rotation is:
(x,y) -> (-x,-y)
Of all the rules of rotation, this is the only one that fits.
The y value of I is (5(2) + 3(5))/(3 + 5) = (10 + 15)/8 = 25/8 = 3.125
Boy: x
girl: x - 53
father: 4(x - 53)
Now you simplify.
By solving a system of equations, we will see that m measures 12 units.
<h3>
How to get the measure of m?</h3>
Notice that we have 3 right triangles.
Then we can write the equations:
cos(a) = 6/m
For the small triangle on the left, where m is the hypotenuse.
cos(a) = m/(6 + 18)
For the larger triangle (the one composed of the two triangles).
Where in both equations, angle "a" is the one in the top left.
Then we have the system of equations:
cos(a) = 6/m
cos(a) = m/(6 + 18)
Then we can write:
6/m = m/(6 + 18)
If we simplify the expression, we get:
6*(6 + 18) = m^2
6*(24) = m^2
144 = m^2
√144 = m = 12
Then we conclude that m measures 12 units.
If you want to learn more about right triangles:
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<u>0.0931</u><u> is the </u><u>probability </u><u>that at least 10 pay in cash.</u>
What is a probability simple definition?
The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
Using binomial distribution with n= 15, and p = 0.40,
P(8<X<12) = P(X=9)+P(X=10) + P(X=11)
= 0.0612+0.0245+0.0074
= 0.0931
Therefore,0.0931 is the probability that at least 10 pay in cash.
Learn more about probability
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