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Vlad1618 [11]
3 years ago
14

Two sides of a triangle have the same length. The third side measures 7m less that twice the common length. The perimeter of the

triangle is 17m. What are the lengths of the three sides?
Mathematics
2 answers:
s2008m [1.1K]3 years ago
8 0
A formula you can use to solve this problem is:

2x + (2x-7) = 17

The first 2x represents the two sides that have the same length, the (2x-7) represents the side that is 7m less than twice the common length, which altogether equal 17m, the perimeter.

From there, solve for x:
2x + (2x-7) = 17
4x - 7 = 17
4x = 24
x = 6

So two sides are 6m. The third side's length can be determined with 2x-7, so it is 5m.
Firdavs [7]3 years ago
7 0
As of 7 being one side, subtract it with the whole...
When you subtract you get 10
Divide by 2 (or subtract 5)

So the two other sides of the triangle is 5m
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Which of the following polynomials is in standard form?
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Answer:

running a two year contract is the best i have to do with my life in this world and it has a great way to go through the

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Afan pays $875 for 3 premium seat tickets. Another fan pays $2125 for 8 premium seat tickets. Write a linear model for the cost
grandymaker [24]

The equation is : C=250t +125 where C is the cost and t represent the number of tickets purchased.

Step-by-step explanation:

Let the cost of premium seat ticket be C

Let the number of tickets a fan buys to be t

Then, presenting the information as ordered pairs of coordinates (x,y) will be;

Fan 1, (3,875)

Fan 2, (8,2125)

Plot the ordered pairs as coordinates on a graph tool, find the slope of the linear graph and equation in slope intercept form as;

m=Δy/Δx

m=2125-875/8-3

m=1250/5

m=250

Equation of the graph,

Δy/Δx=250

y-875/x-3 =250

y-875=250(x-3)

y-875=250x-750

y=250x-750+875

y=250x+125

C=250t +125 where C is the cost and t represent the number of tickets purchased

Learn More

Slope-intercept form equation: brainly.com/question/11016508

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7 0
3 years ago
one leg of a right triangle is 5 millimeters shorter than the longer leg and the hypotneuse is 5 millimeters longer than the lon
Makovka662 [10]
The answer, in short, is that the short leg equals 15 mm, the long leg equals 20 mm, and the hypotenuse equals 25mm. but if you'd like to see how I solved it, here are the steps.
-----------------------------
The Pythagorean theorem (also known as Pythagoras's Theorem) can be used to solve this. This theorem states that one leg or a right triangle squared plus the other side of that same triangle squared equals the hypotenuse of that triangle squared. To put it in equation form, L² + L² = H².

Let's call the longer leg B, the shorter leg A, and the hypotenuse H.
From the question, we know that A = B - 5, and H = B + 5. 

So if we put those values into an equation, we have (B - 5)² + B² = (B + 5)²

Now, to solve. Let's square the two terms in parentheses first:
(B² - 5B - 5B + 25) + B² = B² + 5B + 5B + 25

Now combine like terms:
2B² -10B + 25 = B² + 10B + 25

And now we simplify. Subtract 25 from each side:
2B² - 10B = B² + 10B

Subtract B² from each side:
B² - 10B = 10B

Add 10B to each side:
B² = 20B

And finally, divide each side by B:
B = 20

So that's the length of B. Now to find out A and H.
A = B - 5, so A = 15.
H = B + 5, so H = 25.

And your final answer is A = 15mm, B = 20mm, and H = 25mm
7 0
3 years ago
Find two numbers if their ratio is 4:7 and their difference is 123.
belka [17]

Answer:

The two numbers are -164 and -287

They could also be 164 and 287

Step-by-step explanation:

The ratio of 2 numbers 4/7  

x/y = 4/7

Using cross products

7x =4y

Their difference is 123

x-y = 123

x = 123+y

Substituting in

7(123+y) =4y

Distribute

861 +7y = 4y

Subtract 7y from each side

861 +7y-7y = 4y-7y

861 = -3y

Divide each side by -3

861/-3 = -3y/-3

-287 = y

Now we need to find x

x = 123+y

x = 123+ -287

x = -164


The numbers could also be 164 and 287

The difference is 287-164 = 123

And the ratio is 164/287 = 4/7

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4 times x minus 8 is the answer
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