Answer:
Show ΔBCD ≅ ΔGFE, so ∠C ≅ ∠F. Base angle of an isosceles triangle are congruent, so ΔACF is isosceles.
Step-by-step explanation:
Informally, subtract DE from CE and DF. This will show CD ≅ EF.
Then ΔBCD ≅ ΔGFE by the HL theorem for right triangles.
Corresponding parts of congruent triangles are congruent, namely the angles C and F.
Since base angles of ΔACF are congruent, it is isosceles.
Answer:
2 remainder 5 ily
Step-by-step explanation:
Answer:
So about 95 percent of the observations lie between 480 and 520.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
The mean is 500 and the standard deviation is 10.
About 95 percent of the observations lie between what two values?
From the Empirical Rule, this is from 500 - 2*10 = 480 to 500 + 2*10 = 520.
So about 95 percent of the observations lie between 480 and 520.
Using it's formula, it is found that the monthly payments for the loan of the apartment is of $7,260.50.
<h3>What is the monthly payment formula?</h3>
It is given by:
In which:
- n is the number of payments.
In this problem, the parameters are given as follows:
P = 500000, r = 0.123, n = 12 x 10 = 120.
Hence:
r/12 = 0.123/12 = 0.01025.
Then, the monthly payments will be of:
A = 7260.50.
More can be learned about the monthly payment formula at brainly.com/question/26267630
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