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miv72 [106K]
3 years ago
10

The first side of a triangle is 7cm less than twice the second side. The third side is 4cm longer than the first side. The perim

eter is 80cm. Find the length of each side of the triangle.
Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0

Given:

First side(A): 2B - 7

Second side(B): B

Third side(C): B + 4

Plug in values:

A + B + C = 80

2B - 7 + B + B + 4 = 80

If you look at the coefficients only, you can rewrite the equation like this:

2B + B + B - 7 + 4 = 80

This means that 4B - 7 + 4 = 80

=4B - 3 = 80

= 4B = 80 + 3

B = 83/4, so you can either write B as 83/4 or as 20.75.

Checking your work:

A: 2(20.75) - 7 = 34.5

B: 20.75

C: 4 + 20.75 = 24.75

34.5 + 20.75 + 24.75 = 80cm.

Hope this helped.

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Mai's mother was 28 when Mai was born. Mai is now 12 years old. In how many years will Mai's mother be twice Mai's Age
noname [10]

Answer:

4

Step-by-step explanation:

Let x = the number of years

In x years, Mai's mother's age will be: 28 + x

                         and Mai's age will be:  12 + x

Then,                                      28 + x = 2(12 +   x)

Distribute the 2                      28 + x =    24 + 2x

Subtract 24 from each side     4 + x =            2x

Subtract x from each side             x = 4

In four years, Mai's mother will be twice Mai's age.

<em>Check: </em>

28 + 4 = 2(12 + 4)

   32   = 2 ×  16

   32   =   32

6 0
3 years ago
Bert's bike shop has a $400 bicycle marked with a sign that says take a 35% discount what is the sale price
Inessa [10]

Answer:

$260

Step-by-step explanation:

Turn the percentage into a decimal.

35% -> 0.35

Multiply.

400 * 0.35 = 140

Subtract.

400 - 140 = $260

Best of Luck!

7 0
3 years ago
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Jorge baked cookies for his math class's end-of-year party. There are 28 people in Jorge's math class including Jorge and his te
timurjin [86]
You have to multiply the number of people times the number of cookies they are each supposed to get

So, 28 x 3 = 84 cookies
7 0
3 years ago
Which of the following is the line of symmetry for the figure shown below?
user100 [1]

Answer:

C. Line A

Step-by-step explanation:

6 0
3 years ago
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Daniel deposited a certain sum of money in a bank.If the simple interest rate of the bank decreases from 3.75% per year to 3.5%
Svetach [21]

Answer:

$51.75

Step-by-step explanation:

Okay, so. They decreased there interest by .15. It is really nothing.  So, we have no clue how many years. So, we will just use one year. We would start by multiplying 50 and 3.5% that will equal 1.75. Then we would add it up. 50 + 1.75, it will equal to 51.75.

Therefore your answer is $51.75

Hope this helps!

8 0
3 years ago
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