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SashulF [63]
3 years ago
9

Solvę for x. Assume that lines which appear tangent are tangent.

Mathematics
1 answer:
Tom [10]3 years ago
6 0

Answer:

7

Step-by-step explanation:

Use secant-tangent product theorem.

1. Set up the equation

(x-3)(x-3+5) = (x-1)²

2. Solve

(x-3)(x+2) = (x²-2x+1)

(x²-x-6) = (x²-2x+1)

3. Solve for x

Subtract x² from both sides

-x-6 = -2x+1

Add 2x and 6 to both sides

x = 7

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129,407 because 12 ten thousands=120,0008 thousands= 8,00014 hundreds= 1,400No tens=07 ones=7
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3 years ago
Susan Marciano invested part of her 19000 bonus in a fund that paid an 11% profit and invested the rest in stock that suffered a
ioda

The amount invested at 11% is ​$5,000

The amount invested in stock is ​$14,000

What is the net profit on both investments?

The profit of each investment is the rate of return or loss multiplied by the amount invested

Let us assume that x was invested at 11% and the remaining 19000-x was invested at a loss rate of 3%

net profit=(11%*x)+(19000-x)*-3%

net profit=130

130=(11%*x)+(19000-x)*-3%

130=0.11x-570+0.03x

130=0.14x-570

130+570=0.14x

700=0.14x

x=700/0.14

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Amount invested in stocks=19000-5000

Amount invested in stocks=$14,000

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8 0
1 year ago
Choose some numbers to compare to 55 use = and <,> WHAT NUMBERS COMPARE TO 55
horrorfan [7]

There's literally unlimited answers but here are some simple ones.

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1 < 55

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3 0
3 years ago
The amount that Susan charges per hour for babysitting is directly proportional to the number of children she is watching. She c
max2010maxim [7]
$7.50 for 5 kids you divide 4.50 by 3 and get 1.50 and you take 1.50 times 5 and get 7.50
5 0
3 years ago
Read 2 more answers
Determine if the following events are independent.
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Step-by-step explanation:

To determine if events are independent, one has to confirm if there's no relationship between the events.

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Event B. Receiving a high water bill.

Both Events are related as Event B is proportional to Event A. This means they are not independent but rather dependent

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2 years ago
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