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Nostrana [21]
3 years ago
11

Line s and point T are given as graphed.

Mathematics
1 answer:
Zepler [3.9K]3 years ago
4 0

Answer:

The slope is undefined

Step-by-step explanation:

we have that

The equation of the line s is equal to

x=3

This is a vertical line (parallel to the y-axis)

The slope is undefined

Because

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

(3,3)\ (3,-2)

Substitute the values

m=\frac{-2-3}{3-3}

m=\frac{-5}{0}  ------> is undefined

The point T is (5,-1)

The equation of the line parallel to the line s that passes through the point T, will be a vertical line and the equation  is equal to the x-coordinate of point T

therefore

The equation is

x=5

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Step-by-step explanation:

RS bisects PQ at T. PQ bisects RS at T.

<u>prove</u>: Triangle PTS congruent Triangle QTR

<h3>Statements..............................Reasons</h3>

(1) RS bisects PQ at T.................(1) Given

(2) PQ bisects RS at T.................(2) Given

(3) angle PST ≅ angle QRT........(3) supplements of congruent angles

(4) TS ≅ TR......................(4) Converse of Base Angles Theorem

(5) angle PTS ≅ angle QTR.........(5) Subtraction Property of Equality

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Answer:

Step-by-step explanation:

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3 years ago
Graph the following inequality 6x+y&gt;-6
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4 years ago
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scoundrel [369]

Answer:

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4 years ago
how much money will you have in 10 years if you invest $12,000 at a 3.3% annual rate of interest compounded quarterly?
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Answer:

The amount is $16718.7 and the interest is $4718.7.

Step-by-step explanation:

STEP 1: To find amount we use formula:

A=P(1+rn)n⋅t

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P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

In this example we have

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STEP 2: To find interest we use formula A=P+I, since A=16718.7 and P = 12000 we have:

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