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kvasek [131]
3 years ago
10

19.

Mathematics
1 answer:
muminat3 years ago
6 0

Answer:

Step-by-step explanation:

1). Since angles P and Q are supplementary,

m∠P + m∠Q = 180°

(5x + 3)° + (x + 3)° = 180°

6x + 6 = 180

6x = 174

x = 29

Therefore, Option (3) is the answer.

2). If a point P lies in the interior of ∠RST,

m∠RST = m∠RSP + m∠TPS

(Since, line SP is bisector of angle RST)

m∠RST = 40° + 10°

             = 50°

Therefore, option (2) is the answer.

3). AB = distance between two points A and B on a number line

          = 8 - (-12)

          = 8 + 12

          = 20

Therefore, length of AB = 20 units.

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Graphic DesignWorks ships the t-shirts it makes in boxes that measure 20 in x 18 in x 15 in. The company rents a storage space t
ioda

Answer:

  D)  1,036,800 boxes

Step-by-step explanation:

The volume of a box is ...

  (20 in)(18 in)(15 in) = 5400 in^3

The volume of the storage space is ...

  (300 ft)(240 ft)(45 ft) = 3,240,000 ft^3

Then the number of boxes that will fit in the storage space is ...

  (3240000 ft^3)(1728 in^3/ft^3)/(5400 in^3/box) = 1,036,800 boxes

8 0
3 years ago
Which of these functions has a y-intercept of (0, 7)? Select all that apply
Anton [14]

Answer:

(0,7)

Step-by-step explanation:

there is no problem work shown.

6 0
3 years ago
Please help in the question it should be if t=-6 when r =-2 its an error
Natasha2012 [34]

Answer:

r = - \frac{12}{7}

Step-by-step explanation:

Given that r varies inversely as t , then the equation relating them is

r = \frac{k}{t} ← k is the constant of variation

To find k use the condition t = - 6 when r = - 2, then

- 2 = \frac{k}{-6} ( multiply both sides by - 6 )

12 = k, thus

r = \frac{12}{t} ← equation of variation

when t = - 7, then

r = \frac{12}{-7} = - \frac{12}{7}

7 0
3 years ago
Factor the following expression completely. 16x^5-x^3<br> A. <br><br> B. <br><br> C. <br><br> D.
Ket [755]

Answer:

x^3(2x+1)(2x-1)

Step-by-step explanation:

first take common then use formula of a^2-b^2

6 0
3 years ago
Read 2 more answers
Please help!!! It would be much appreciated
BigorU [14]

Answer:

Hours of television because it is the explanatory variable.

Step-by-step explanation:

For me, I am assuming the more time spent watching television would cause lower reading scores. I imagine this would be a bar graph, the vertical y-axis would be labeled the reading scores and the horizontal x-axis would be the amount of hours spent watching television. This is because when you graph, you move right then up to get to the unit, meaning the hours of television affect the reading scores. hope this helpss

6 0
3 years ago
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