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Zigmanuir [339]
3 years ago
12

The hypotenuse of right triangle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5 cm.

Mathematics
1 answer:
polet [3.4K]3 years ago
6 0

Answer:

Step-by-step explanation:

Pythagorean theorem: In a right angle triangle, the square of hypotenuse is equal to the sum of squares of other two sides

BC² + AB² = AC²

5² + AB² = 13²

25 + AB² = 169

        AB² = 169 - 25

        AB² = 144

       AB = √144 = √12*12

AB = 12cm

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Mandy obtains a $155,000 20/6 balloon mortgage with a rate of 4.25%. What will her monthly payments be?
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Answer:

The answer to the question is

Her monthly payments will be $279.98

Step-by-step explanation:

To solve the question we apply the equation for  monthly payments as follows

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A = P*r*\frac{r(1+r)^n}{(1+r)^n -1}

Where

A = Payment amount per month

r = interest rate = 4.25 %

n = number of months = 20×12 months or 240 months

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For balloon mortgage the loan balance is paid off or refinanced at the end of the loan term

4 0
3 years ago
2.) FIND EF.
Naddika [18.5K]

The measure of EF from the given diagram is 6 units

<h3>Secant secant theorem</h3>

The theorem states that if two secants are drawn from an external point to a circle, then the product of the measures of one secant's external parts is the same as the product of the other external part.

Mathematically according to the given figure;

4(4+2x) = 5(5+x)

Expand

16 + 8x = 25 + 5x

Collect the like terms

8x - 5x = 25 - 16

3x = 9

Divide both sides by 3

3x/3=. 9/3

x = 3

Find EF

EF = 2x

EF = 2(3) = 6

Hence the measure of EF from the given diagram is 6 units

Learn more on secant theorem here: brainly.com/question/10732273

#SPJ1

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