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qwelly [4]
3 years ago
11

A triangle has the following side lengths: x - 2, x, and 3x + 1. Another triangle has the following side lengths: 2x - 5, x + 4,

6x - 7. If the perimeters of the two triangles are equal, what is x?
Mathematics
1 answer:
notka56 [123]3 years ago
5 0

we know that

Perimeter of a triangle is equal to

P=a+b+c

where

a,b and c are the length sides of the triangle

<u>Find the perimeter of the triangles</u>

<u>Triangle N 1</u>

P=(x-2)+(x)+(3x+1)-------> P=5x-1

<u>Triangle N 2</u>

P=(2x-5)+(x+4)+(6x-7)------> P=9x-8

equate the perimeters

5x-1=9x-8--------> 9x-5x=-1+8-------> 4x=7

x=7/4------> x=1.75

therefore

the answer is

x=1.75

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Maya had $27. She spent all the money on buying 3 burgers for $x each and 2 sandwiches for $y each. If Maya would have bought 2
defon

Answer:

Option C

The student's conclusion is correct because the solution to the system of equations 3x+2y=27  and 2x+y=16 is (5,6)

Step-by-step explanation:

Let

x------> the cost of each burger

y-----> the cost of each sandwich

we know that

3x+2y=27 -----> equation A

2x+y=(27-11)

2x+y=16 ----> equation B

Solve the system of equations

Multiply the equation B by -2

-2(2x+y)=-2*16 ----->-4x-2y=-32 ------> equation C

Adds equation A and equation C

3x+2y=27 \\-4x-2y=-32\\ ----------\\ 3x-4x=27-32\\ -x=-5\\x=5

Substitute the value of x in the equation B

2(5)+y=16

10+y=16

y=6

The solution of the system of equations is the point (5,6)

so

The price of each burger is \$5

The price of each sandwich is \$6

6 0
3 years ago
Read 2 more answers
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svp [43]
The answer is A. 21.6 just add, 9.2+0.5+6+5.9=21.6

I hope this helps!
5 0
3 years ago
Read 2 more answers
Just number 9 not the other one please help
Paladinen [302]

Answer:

I do believe the answer is C

Step-by-step explanation:

.004 / .0004 =

4 0
3 years ago
Read 2 more answers
Help ASAP:Solve : 0.84+91.279
jeka94

Answer:

92.119

Step-by-step explanation:

0.84+91.279=92.119

Hope this helps!

6 0
3 years ago
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What point on the graph of y = 0.5f(x) corresponds to (4, 16)? Explain.
SVETLANKA909090 [29]

We are given a coordinate (4,16).

Where first coordinate is the value of x and second coordinate is the value of y for the function y=f(x).

We need to find the value of given point (4,16) for function y= 0.5f(x).

Here function f(x) is being multiplied by 0.5.

On multiplying 0.5 by y, it will effect the value of y only. It does not effect value of  x . Because x value is still x. Only function f(x) is being multiplied by 0.5.

Therefore, y= 0.5f(4) = 0.5 * 16 = 8.

So, (4,8) is the point on the graph of y = 0.5f(x) corresponds to (4, 16).

4 0
3 years ago
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