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Vesna [10]
2 years ago
14

The first side of a triangle measures 3 in. less than the second side, the third side is 2 in. more than the first side, and the

perimeter is 20 in. Set up an equation that relates the sides of the triangles in terms of the perimeter of the triangle.
Mathematics
1 answer:
Debora [2.8K]2 years ago
5 0

Answer:

P = 3x - 4

Step-by-step explanation:

Side 1 = x - 3

Side 2 = x

Side 3 = 2 + (Side 1) = 2 + x - 3 = x - 1

Perimeter = 20 in

Perimeter = Side 1 + Side 2 + Side 3

Perimeter = (x - 3) + (x) + (x - 1)

Perimeter = x - 3 + x + x - 1

Perimeter = 3x - 3 - 1

Perimeter = 3x - 3 - 1

Perimeter = 3x - 4

P = 3x - 4

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Determine the range of the function in the table below.
maria [59]
The last one if I'm not mistaking
5 0
2 years ago
A pet supply chain called Pet City has 5 hamsters and 10 gerbils for sale at its Lanberry location. At its Milford location, the
Vlad1618 [11]

Answer:

Milford location has a higher ratio of hamsters to gerbils.

Step-by-step explanation:

Given:

A pet supply chain called Pet City has 5 hamsters and 10 gerbils for sale at its Lanberry location.

At its Milford location, there are 13 hamsters and 16 gerbils.

Now, to find the location who has a higher ratio of hamsters to gerbils.

Ratio of hamsters to gerbils at Lanberry location = 5:10.

=\frac{5}{10}=0.50

                                                                         

Ratio of hamsters to gerbils at Milford location= 13:16.

=\frac{13}{16} =0.8125

                                                       

<em>So, 0.8125 > 0.50.</em>

<em>Thus, </em><u><em>13:16 > 5:10.</em></u><em> </em>

Therefore, Milford location has a higher ratio of hamsters to gerbils.

4 0
2 years ago
Find the hypotenuse of an isosceles right triangle when the legs each measure 3\sqrt{x} 2inches.
Tresset [83]

The hypotenuse of the right triangle measures 3 units.

<h3>How to find the hypotenuse?</h3>

Here we know that both legs measure:

L  =\frac{3}{\sqrt{2} }

If we use the Pythagorean theorem, we will see that the hypotenuse H can be written as:

H^2 = (\frac{3}{\sqrt{2} } )^2 +  (\frac{3}{\sqrt{2} } )^2 \\\\H^2 = \frac{9}{2} + \frac{9}{2} = \frac{18}{2} = 9\\\\H = \sqrt{9} = 3

Then we conclude that the hypotenuse of the right triangle measures 9 units.

If you want to learn more about right triangles:

brainly.com/question/2217700

#SPJ1

6 0
1 year ago
write in point slope form the equation of a line through (-3, 8) and (7, 6). A. y-6=1/5(x-7), B. y-8=-1/5(x+3), C. y-8=1/5(x=3)
Anna [14]
First you have to find the slope, the slope formula is m = y2 - y1/ x2 - x1

m = y2 - y1/ x2 - x1       (-3, 8)  (7, 6)
m = 6 - 8/ 7 - (-3)
m = -2/10
m = -1/5

point-slope formula;
y - y1 = m(x - x1)            m = -1/5   (-3, 8)
y - 8 = -1/5(x - (-3)
y - 8 = -1/5(x + 3)

so the answer is, B.

hope this helps, God bless!
4 0
3 years ago
Log3+logx=5/2<br>find x​
Naya [18.7K]

Answer:

x = 105.4

Step-by-step explanation:

We are given;

Log 3 + log x = 5/2

We are required to find x;

We are going to use the laws of logarithms to solve for x

That is;

log a + lob b = log(ab)

Therefore;

Log 3 + log x = 5/2

we get;

log 3x = 2.5

But;

Given, logₐb= x , then b = a^x

In this case;

log 3x = 2.5

we get , 3x = 10^2.5

That is , 3 x = 316.227

                x = 105.4

Thus, the value of x is 105.4

3 0
3 years ago
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