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aliya0001 [1]
2 years ago
12

A triangle has side lengths of 5a+3 5 a + 3 inches and 2a+3 2 a + 3 inches. If the perimeter of the triangle is 9a+12 9 a + 12 i

nches, which expression represents the lengths, in inches, of the third side of the triangle?
Mathematics
1 answer:
Marina CMI [18]2 years ago
3 0

Answer:

The answer to your question is:   side 3 = 2a + 6

Step-by-step explanation:

Data

Triangle

side 1 = 5a + 3 inches

side 2 = 2a + 3 inches

side 3 = ?

Perimeter = 9a + 12

Process

               Perimeter = side 1 + side 2 + side 3

             

              9a + 12 = (5a + 3) + (2a + 3) + side 3

              side 3 = 9a + 12 - 5a - 3 - 2a - 3

              side 3 = 2a + 6

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20.6294
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Which statement proves that the two circles are similar?
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Answer: The circles B and D are similar because B can be mapped onto D by a translation of 8 units to the right and 1 unit down, followed by a dilation about its center by a scale factor of 0.5.

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Suppose that in a certain sinkhole the ground dropped 69.6 ft in 24 hr. Find the unit rate representing the change in altitude p
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2.9 per hour

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Read 2 more answers
Which expression simplifies to 41? Choose all that apply!
Arada [10]

Answer:

None of the expressions is simplified to 41.

Step-by-step explanation:

You have to follow the P.E.M.D.A.S., this is:

P:Parentheses first.

E:Exponent next.

M:Multiplication.

D:Division.

(Multiplication and Division is whichever come first, from left to right)

A: Addition.

S: Subtraction.

(Addition and Subtraction is whichever come first, from left to right).

<u><em>We are going to analyze every option:</em></u>

1. 10+ 2.4 - 1

First we have to solve the multiplication:

10+ 2.4 - 1=10+8-1

Now we have to solve the addition and subtraction from left to right:

10+8-1=18-1=17\neq 41

This is not a correct answer.

2. 10+2.(4-1)

We have to solve the parentheses first:

10+2.(4-1)=10+2.(3)

Now the multiplication and then the addition.

10+2.(3)=10+6=16\neq 41

This is not a correct answer.

3. (10+23).4-1

We have to solve the parentheses first:

(10+23).4-1=(33).4-1

Now the multiplication and then the subtraction:

(33).4-1=132-1=131\neq 41

This is not a correct option.

4. 10+(2^2.4)-1

We have to solve the parentheses first, in the parenthesis first we have to solve: 2^2 and then do the multiplication.

10+(2^2.4)-1=10+(4.4)-1=10+16-1

Now we have to solve the addition and subtraction from left to right:

10+16-1=26-1=25\neq 41

This expression is not a correct option.

Then none of the expressions is simplified to 41.

5 0
3 years ago
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