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Ksenya-84 [330]
2 years ago
12

triangle STU is an equilateral triangle. If ST is one less than twice x, SU is 37 less than five times x, and TU is 11 more than

x, find x and the measure of each.
Mathematics
1 answer:
maks197457 [2]2 years ago
7 0

Answer:

The value of x = 12 and the measure of each side is 23 units.

Step-by-step explanation:

Given:  STU is an equilateral triangle.

ST = 2x -1

SU = 5x - 37

TU = x + 11

Now, as Δ STU is an equilateral triangle, hence all the sides of the triangle are equal.

⇒ ST = SU = TU

or, 2x -1 = 5x - 37 = x + 11

Considering : 2x -1 = 5x - 37 , we get

-1 + 37 = 5x - 2x

or 3x = 36

or, x = 12

Considering : 5x - 37 = x + 11 , we get

5x -x = 11 + 37

or, 4x = 48  or, x = 12

Considering :  x + 11  = 2x -1

or, 2x - 1 =  x + 11

or, x = 12

hence, in all the cases value of x = 12

ST =  2x -1 =  2(12) -1  = 23 units

SU =  5x - 37= 5(12) -1  = 23  units

TU =  x + 11  = 12 = 11  = 23 units

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Law Incorporation [45]
F(x)= 2x-6

Y=Mx+b

B= y intercept= -6

M= how many times it went up so 2 times

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6 0
2 years ago
Martin works at bluebell ice cream parlor.He earns $87.50 for every 7 hours of work.Based on this information how much money wou
faust18 [17]

Martin will earn $350 for 28 hours of work.

Step-by-step explanation:

Given,

Amount earned in 7 hours = $87.50

Ratio of time to amount earned = 7:87.50

Let,

x be the amount earned in 28 hours.

Ratio of time to amount earned = 28:x

Using proportion;

Ratio of time to amount earned :: Ratio of time to amount earned

7:87.50::28:x\\

Product of mean = Product of extreme

7*x=87.50*28\\7x=2450

Dividing both sides by 7

\frac{7x}{7}=\frac{2450}{7}\\x=350

Martin will earn $350 for 28 hours of work.

Keywords: ratio, proportion

Learn more about proportion at:

  • brainly.com/question/1388658
  • brainly.com/question/1414350

#LearnwithBrainly

4 0
3 years ago
One gallon of gasoline in buffalo, New York costs $2.29. In Toronto, Canada, one liter of gas costs $0.91. There are 3.8 liters
Solnce55 [7]

<u>Answer:</u>

The cost of one gallon of gas in Toronto, Canada is $3.458.

<u>Solution: </u>

Given, One gallon of gasoline in buffalo, New York costs $2.29.  

In Toronto, Canada, one liter of gas costs $0.91.  

There are 3.8 liters in one gallon.  

We have to find how much does one gallon of gas cost in Toronto?

Now, cost of one gallon of gas in Toronto = cost of one litre of gas in Toronto x 3.8 liters for 1 gallon.

Cost of one gallon of gas = 0.91 x 3.8 = 3.458

Hence, the cost of one gallon of gas in Toronto, Canada is $3.458.

3 0
3 years ago
HELP EMERGENCY!!!!!! What is the equation of the line?<br> Y=3x-1<br> Y=-3x<br> Y=3x+1<br> Y=3x
ch4aika [34]
<h2>Answer:</h2>

By process of elimination, we can eliminate:

  • <em>A:</em> <em>y = 3x - 1</em>
  • <em>C: y = 3x + 1</em>
  • <em>B: y = -3x</em>

<em>A and C</em> don't work because the given line has it's y-intercept at the origin, therefore, no y-intercept is written. <em>B </em>is not it either because the line <em>does not</em> go <em>down</em> from <em>left to right</em>, therefore, the slope is <em>not</em> negative.

The answer is <em>D: y = 3x</em> because since the line goes <em>up</em> from <em>left to right</em>, the slope is positive, and the y-intercept is the origin, so the equation will have no b.

7 0
2 years ago
4-2x=11 how do I solve
Bingel [31]

Hey there!☺

Answer:\boxed{x=\frac{-7}{2}}

Explanation:

4-2x=11

In our first step, we will simplify both sides of the equation:

4+-2x=11\\-2x+4=11

Now subtract 4 from both sides:

-2x+4-4=11-4\\-2x=7

In our last step, we will divide both sides by -2:

\frac{-2x}{2}=\frac{7}{-2}\\  x=\frac{-7}{2}

x=-7/2 is your answer.

Hope this helps!☺

3 0
3 years ago
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