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igomit [66]
3 years ago
13

Use the figure to the right to find the value of PT. T is the midpoint of PQ.

Mathematics
2 answers:
Cloud [144]3 years ago
5 0

Answer:

17

Step-by-step explanation:

since T is mid point of PQ

PT=TQ

4x + 5 = 8x - 7 \\ 5 + 7 = 8x - 4x \\ 12 = 4x \\ x = 12 \div 4 \\ x = 3 \\

so

pt = 4x + 5 \\  = 4(3) + 5 \\  = 12 + 5 \\ pt = 17

o-na [289]3 years ago
4 0

Answer:

PT = 17

Step-by-step explanation:

Since T is the midpoint of PQ, then

PT = TQ , substitute values

4x + 5 = 8x - 7 ( subtract 4x from both sides )

5 = 4x - 7 ( add 7 to both sides )

12 = 4x ( divide both sides by 4 )

3 = x

Thus

PT = 4x + 5 = 4(3) + 5 = 12 + 5 = 17

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8 0
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Ms. drake invests $1000 at a simple interest rate of 8.5% for 2 years. how much interest will she earn in this time?
PilotLPTM [1.2K]

Ms. Drake will earn \$ 170 in this time from the investment of \$ 1000 at a simple interest with rate of interest 8.5\%

<h3>What is the definition of simple interest?</h3>

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Conversely, for compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.

Formula for finding simple interest is \frac{principal \times rate \ of \ interest \times time}{100}

Given principal of Ms. Drake is \$1000

Rate of interest is 8.5 \%

Time is 2 years.

Interest =\frac{1000 \times 8.5 \times 2}{100}

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Therefore, Ms. Drake will earn \$ 170 in this time.

To learn more about simple interest from the given link

brainly.com/question/7639734

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