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2 years ago

5. Find the value of x so that lines s and t are parallel. (7x - 20)° (4x + 16)

Mathematics

1 answer:

Thepotemich [5.8K]2 years ago

8 0

The value of x so that lines s and t are parallel is 12

<h3 /><h3>How to find angles involving parallel lines?</h3>

The angle are alternate exterior angles.

Therefore, alternate exterior angle theorem states that when two parallel lines are intersected by a transversal, then the exterior angles formed on either side of the transversal are equal.

Hence,

7x - 20 = 4x + 16

7x - 4x= 16 + 20

3x = 36

x = 36 / 3

x = 12

Therefore, the value of x is 12.

learn more on parallel lines here: brainly.com/question/4427808

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balandron [24]

Answer: Distance between dolphin and helicopter = 93.5 feet

Explanation:

Distance at which dolphin swimming below the ocean= (-) 18 feet

(it is represented as the negative number as it denotes the distance below the ocean)

Distance at which helicopter is above the ocean = (+) 75.5 feet

(it is represented as the positive number as it denotes the distance above the ocean)

Distance between dolphin and helicopter = 75.5 - (-18) feet

= 75.5 + 18 feet

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3 years ago

Select the correct answer.

iris [78.8K]

The future value of $1,000 invested at 8% compounded semiannually for five years is $\bold{\$ 1,480}$

<u>Solution:</u>

$\bold{A = P (1 + i )^{n}}$ ----------- equation 1

A = future value

P= principal amount

i = interest rate

n = number of times money is compounded

P = 1000

i = 8 %

$\mathrm{n} = \text { compounding period } \times \text {number of years}$

(Compounding period for semi annually = 2)

$\mathrm{n} = \text { compounding period } \times \text {number of years}$

Dividing “i” by compounding period

$i = \frac{8 \%}{2} = 0.04$

Solving for future value using equation 1

$\begin{array}{l}{A = 1000(1 + 0.04)^{10}} \\\\ {=1000 (1.04)^{10}}\end{array}$

$= 1480.2$

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1+1+1+1=4
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