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3 years ago

In ▵PQR, PR is extended through point R to point S, m

Mathematics

1 answer:

alexgriva [62]3 years ago

8 0

Answer:

x = 10

Step-by-step explanation:

Here, we are tasked with calculating the value of x.

To do this, we need the picture of the wordings given in the question.

please check the attachment for a pictorial representation.

Now the theorem to use is that , the exterior angle of a triangle is equals the sum of the two opposite interior angle.

Thus, mathematically;

3x + 11 + 3x + 15 = 10x -14

6x + 26 = 10x -14

10x-6x = 26 + 14

4x = 40

x = 40/4

x = 10

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jada can write 3 1/4 pages in 8 minutes. At this rate, how many pages could jada write in 24 minutes?

makkiz [27]

Answer:

9 3/4 pages = x

Step-by-step explanation:

$\frac{pages}{minutes} = \frac{pages}{minutes}$ change 3 1/4 to a decimal

$\frac{3.25}{8} = \frac{x}{24}$

$3.25(24) = 8x$

$78 = 8x$

$\frac{78}{8} = x$

$9.75 = x$

$9\frac{3}{4} =x$

working with the fraction

3 1/4 /8 = x/ 24

3 1/4 (24) = 8x

13/4 (24) = 8x

316/4 = 8x

78 = 8x

78/8 = x

9 3/4 = x

7 0

2 years ago

82, 62, 95, 81, 89, 51, 72, 56, 97, 98, 79, 85 order from least to greatest find the The median of the lower half of the data an

Studentka2010 [4]

Answer:

The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

Step-by-step explanation:

Step 1: Order from least to greatest

51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98

Step 2: Determine the median of the lower half of the data

There are 12 numbers which means that there is going to be 6 numbers on both sides of the data. So using the first 6 numbers we will be able to determine the median of the lower half of the data.

51, 56, 62, 72, 79, 81

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number. We can do that by adding them up together and dividing by 2.

(62 + 72) / 2 = 67

Step 3: Determine the median of the upper half of the data

So using the first 6 numbers we will be able to determine the median of the upper half of the data.

82, 85, 89, 95, 97, 98

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number. We can do that by adding them up together and dividing by 2.

(89 + 95) / 2 = 92

Answer: The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

5 0

2 years ago

Which expression represents the volume of the prism?

Tamiku [17]

Answer:

x³-2x² = x2(x – 2) cubic units

Step-by-step explanation:

The volume of a prism is found by multiplying the base area by the height. The base area is a parallelogram and so the area is x*(x-2) = x² -2x.

Multiply this area by the height x.

V = x(x² - 2x) = x³-2x²

This is the same as x2(x – 2) cubic units.

7 0

3 years ago

Read 2 more answers

Plzzzzzzzzzzzzzzzzzzzzzz neeed help dew nowwwwwwwwwwwwwwwwwwwwwwwwwww

vampirchik [111]

Answer:

64 teachers

Step-by-step explanation:

We can use ratios to solve

14 students 896 students

----------------- = -------------

1 teacher x teachers

Using cross products

14 * x = 896*1

Divide each side by 14

14x/14 = 896/14

x =64

4 0

3 years ago

Two accountants for the firm of Elwes and Wright are arguing about the merits of presenting an income statement in a multiple-st

olchik [2.2K]

Answer:

73,188

Step-by-step explanation:

fees plus costs minus expenses

8 0

3 years ago