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DaniilM [7]
3 years ago
11

The shortest side of an isosceles triangle is labeled, in inches, in the triangle below. The two longer sides are 6 inches longe

r than the shortest side. The perimeter of the triangle is 33 inches.
Mathematics
1 answer:
ololo11 [35]3 years ago
5 0

Complete question is;

The shortest side of an isosceles triangle is 2x - 3 inches long. the longer sides are 6 inches longer than the shortest side. the perimeter of the triangle is 33 inches. what is the length of each side of the longer sides of the triangle.

Answer:

Shortest side = 7 inches

Side 2 = 13 inches

Side 3 = 13 inches

Step-by-step explanation:

We are told that;

Triangle is isosceles

The shortest side is 2x - 3 inches

The other 2 sides which are equal because it's an isosceles triangle are both 6 inches longer than the shortest side. Thus;

Side 2 = side 3 = 2x - 3 + 6 = 2x + 3

Since perimeter = 33 and sum of all 3 sides is the perimeter. Thus;

(2x - 3) + 2x + 3 + 2x + 3 = 33

6x + 3 = 33

6x = 33 - 3

6x = 30

x = 30/6

x = 5

Thus;

Shortest side = 2(5) - 3 = 7

Other 2 sides are each; 2(5) + 3 = 13

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Answer:

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Step-by-step explanation:

3 × 3/5 = 9/5

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x = (9 × 10) ÷ 5

x = 18

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Which is the best interpretation of the solution set for the compound inequality?
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answer -

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4 0
4 years ago
Factor completely and check your answer:<br> Help!
statuscvo [17]

Answer:

The expression x² + 8x + 7 can be factored out as (x + 7)(x + 1).

Step-by-step explanation:

You can see how this factors by looking at the last term, and the coefficient of the second term.  You need to find two numbers that multiply to make seven, and add to make eight.

Because seven is a prime number, this becomes very easy.  If this works at all, the numbers must be seven and one.

And lo, if you check, seven and one do indeed add up to be eight, so that's what we need to use.  Let's do it:

x² + 8x + 7

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3 0
3 years ago
Car thieves steal one automobile out of 400 of a certain type every year in a certain city.What annual net premium should an own
bixtya [17]
Without including other expenses and the benefit of the insurance company, the premium has to meet this proportion:

1/400 = premim / value  of the car

=> 1/400 = premum / $16,000

=> premium = $16,000 * (1/400) = $ 40

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Answer: option B. $40.
3 0
3 years ago
Read 2 more answers
If $25, 000 is invested into an account paying 4.5% per year, compounded quarterly, how much money can be withdrawn from the acc
pogonyaev

The money can be withdrawn from the account every two months for the next 6 years is $20, 625, 000

<h3>What is compound interest?</h3>

The formula for compound interest is given as;

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

P = principal interest = $25, 000

r = rate = 4. 5%

n = 2 months

t = 6 years

A = 25, 000 ( 1 + \frac{4. 5}{2} )^2 ^*^6

A = 25, 000(1 + 0. 75)^1^2

A = 25, 000( 825. 00)

A = $20, 625, 000

Thus, the money can be withdrawn from the account every two months for the next 6 years is $20, 625, 000

Learn more about compound interest here:

brainly.com/question/2455673

#SPJ1

7 0
2 years ago
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