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Neporo4naja [7]
3 years ago
14

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:
Leto [7]3 years ago
6 0

Since we know that the perimeters are equal, we can make an equation where the sum of the side lengths of one triangle equal the sum of the side lengths of the other triangle. This yields (x-2)+(x)+(3x+1)=(2x-5)+(x+4)+(6x-7). If we combine like turns, the equation becomes 5x-1=9x-8. We can use the subtraction property of equality to isolate the x and the integers by saying 9x-5x=-1-(-8). Simplifying this gives 4x=7 or x=1.75

Hope this helps.

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During summer, when the snow melts, the water level of the Yukon River increases. If the water level of the river increased by 7
kondaur [170]

Answer:

13 centimeters per day.

Step-by-step explanation:

We have been given that during summer, the water level of the river increased by 78 centimeters in 6 days. We are asked to find the water level increase rate in centimeters per day.

To find the water level increase rate per day, we will divide total increase by total days as:

\text{Water level increase rate per day}=\frac{78\text{ cm}}{6\text{ days}}

\text{Water level increase rate per day}=\frac{13\text{ cm}}{\text{ day}}

Therefore, the water level increase rate is 13 centimeters per day.

5 0
3 years ago
Molly earns a rebate each month on her movie tickets and books. She earns $0.25 for each movie ticket and $2 for each book. Last
Sliva [168]

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STEP 1: Simplify both sides of the equation

1+2x=17  or  2x+1

STEP 2: Subtract both sides

2x = 16

STEP 3: Divide both sides by 2

2x/2 = 16/2

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7 0
3 years ago
A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?
AfilCa [17]

Answer: answer c is the answer

6 0
3 years ago
Read 2 more answers
Cindy can type 65 words per minute. David can type 75 words per minute. In 7 minutes, how many more words can David type than Ci
DENIUS [597]

Answer:

70

Step-by-step explanation:

It's 70 because first you have multiply for Cindy's words 65×7=455 then multiple David's 75 word times 7 and you get 525. Lastly, You subtract both of their totals and get 70

Hope this helped!

6 0
3 years ago
Write a recursive rule: <br><br>-2,0,2,4,6​
bearhunter [10]
Write a recursive rule for the sequence.

-2,0,2,4,6

STEP 1:

a1 = -2

a2 = 0

a3 = 2

STEP 2:

d = a2-(a1)=a3

= d = 0-(-2)=2

STEP 3:

An = a+(n-1)d

ANS:

6 0
2 years ago
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