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Dima020 [189]
3 years ago
9

Two opposite sides of a parallelogram are 3x-8 and 10x+13. Find the measure of all sides

Mathematics
1 answer:
RSB [31]3 years ago
5 0

Answer:

Step-by-step explanation:

Using the parallelogram theorem

3x-8 = 10x+13

-7x = 21

x = -3

Substitute

3(-3) - 8

-17

10(-3) + 13

-17

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Solve For Each Variable.
bixtya [17]

The first equation given 6=1-2n+5

We have to add 1 and 5 to the right side first. We will get,

6= 6 - 2n

To get rid of 6 from the right side we have to subtract 6 from both sides.

6-6 = 6-6-2n

6-6 = -2n

0=-2n

To find n we have to move -2 to the other side by dividing both side by -2.

0/-2 = -2n/-2

0= n

n=0

So we have got the required answer for the first question.

The solution is n = 0.

The second equation given,

8x-2 = -9+7x

First we have to move 7x to the left side by subtracting it from both sides.

8x-7x-2 = -9+7x-7x

8x-7x-2 = -9

x-2 = -9

Now we have to move -2 to the right side by adding 2 to both sides.

x-2+2 = -9+2

x = -9+2

x = -7

We have got the required answer for the second question.

The solution is x = -7.

The third equation given,

-8 = -(x+4)

We have to get rid of that negative sign from both sides. As we have negative sign to both sides we can cancel it out. We will get,

8=x+4

Now we have to move 4 to left side by subtracting it from both sides.

8-4 = x+4-4

8-4 = x

4=x

x = 4

So we have got the required answer .

The solution is x = 4.

3 0
2 years ago
What is the place value of 9 in 49,254
MrRa [10]
9,000 nine thousands
7 0
3 years ago
Read 2 more answers
The class sizes of elementary school classes in a public school district are normally distributed with an unknown population mea
weqwewe [10]

Answer: (17.14,\ 22.86)

Step-by-step explanation:

The confidence interval estimate for the population mean is given by :-

\overline{x}\pm ME, where \overline{x} is the sample mean and ME  is the margin of error.

Given : Sample mean: \overline{x}=20

The margin of error for a 98% confidence interval estimate for the population mean using the Student's t-distribution : ME=2.86

Now, the confidence interval estimate for the population mean will be :-

20\pm2.86=(20-2.86,\ 20+2.86)=(17.14,\ 22.86)

Hence, the 98% confidence interval estimate for the population mean using the Student's t-distribution =  (17.14,\ 22.86)

8 0
3 years ago
A softball player made a hit 34 times in the last 170 times at bat . Find the probability that the softball player will get a hi
Gennadij [26K]

Answer:

1/5

Step-by-step explanation:

34/170 = 1/5

p(hit) = 1/5

6 0
2 years ago
In two years what percent of his age will Benny’s mom be at that time since Benny is 12 and his mom is 48
Ksju [112]

Answer:

His mom’s age will be 1/% of Benny’s age at that time.

Step-by-step explanation:

14>>100%

1>>(100/14)%

50>>50(100/14)%

50>>25(100/7)%

50>>(2500/7)%

50>>357 1/7%

so in two years Benny will be 14 and his mom will be 50.

7 0
3 years ago
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