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Georgia [21]
2 years ago
10

a certain triangle has a perimeter of 3067 mi. the shortest side measures 71 mi less than the middle side and the longest side m

easures 372 mi more the the middle. the shortest side is how many mi long
Mathematics
1 answer:
UkoKoshka [18]2 years ago
6 0

Answer:

The measure of the shortest side is 851 miles

Step-by-step explanation:

Let

x ----> the measure of the shortest side

y ---> the measure of the middle side

z ---> the measure of the longest side

we know that

The perimeter of triangle is equal to

P=x+y+z

P=3,067\ mi

so

3,067=x+y+z ----> equation A

the shortest side measures 71 mi less than the middle side

so

x=y-71 ----> equation B

the longest side measures 372 mi more the the middle side

so

z=y+372 ----> equation C

substitute equation B and equation C in equation A

3,067=(y-71)+y+(y+372)

solve for y

3,067=3y+301\\3y=2,766\\y=922

Find the value of x

x=y-71\\x=922-71\\x=851

therefore

The measure of the shortest side is 851 miles

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Answer:

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Step-by-step explanation:

Hi there,

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3 0
2 years ago
1.There are 32 adults and 20 children at a shool play.Which of these ratios is not equivalent to the ratio of adults to children
OLEGan [10]
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3 years ago
One fifth of a number plus three times the number is equal to twice the number plus 42. What is the number
borishaifa [10]

Equation to find number's value: \frac{1}{5}n + 3n = 2n + 42

Number's value: n = 35


Explanation:

Let n be the unknown number for this problem.

One fifth of a number is the same as \frac{1}{5}n.

Three times the number is the same as 3n.

Twice the number plus 42 is the same as 2n + 42.

So, using the information we've gathered so far, we can create the equation that will provide us with n's value.

Equation: \frac{1}{5}n + 3n = 2n + 42

We can use this equation to find n's value.

You can subtract 2n from both sides to get the equation \frac{1}{5}n + n = 42, which is the same thing as the equation we were using.

Now add n and \frac{1}{5}n together to get 1\frac{1}{5}n.

After you do this, your equation should look like 1\frac{1}{5}n=42.

Now divide both sides by 1\frac{1}{5} to get n's value.

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7 0
3 years ago
Hey can you help me fast I am at a 83 and I need to get to a 90 on this.
jeyben [28]

Answer:

2/5

Step-by-step explanation:

First by looking, you have a slope going upward to the right so it is a positive slope.

Two points on the line that seem to go directly through the grid at the intersection points are ( -60, -90) and ( 40, -50).

Slope is Rise (y axis) over the Run (x axis).  The numbers above have x first and y second.

So the rise is the total distance between -90 and -50 which is 40.

The run is the total distance between 40 and -60 which is a total of 100.

It takes 40 units to get back to the 0 mark on the x axis and the another 60 units to get to the -60 point.

So you slop is 40/100.  You can simplify this down to 4/10 or even further to give you 2/5.

8 0
2 years ago
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erma4kov [3.2K]

Answer:

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Step-by-step explanation:

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Surface Area: 336+500+140=976 square cm

Hope this helps! :)

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3 years ago
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