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3 years ago

Which pair of angles must be supplementary?

Mathematics

2 answers:

Alex_Xolod [135]3 years ago

6 0

∠3 and ∠4 are angles that must be supplementary.

Elina [12.6K]3 years ago

4 0

If something is supplementary, that means that together they must equal 180.
A line=180

<3 and <1 are supplementary because they are linear pairs, meaning that together they must equal 180

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How do you simplify 5 1/3- 7 5/6 6 1/4

AlexFokin [52]

-85/12 _
or in decimal form its 7.08333333
or mixed number form 7 1/12

3 0

3 years ago

Companies use employee training for various reasons, including employee loyalty, certification, quality, and process improvement

Radda [10]

Answer:

0.3081 = 30.81% probability that the company uses training for employee retention and not for process improvement

Step-by-step explanation:

56% employee retention.

38% for process improvement. Of those, 89% for employee retention.

a. What is the probability that the company uses training for employee retention and not for process improvement

The 56% is composed by:

x of 100 - 38 = 72%(not for process improvement)

89% of 38%(for process improvement).

We want to find x. So

$0.72x + 0.89*0.38 = 0.56$

$0.72x = 0.56 - 0.89*0.38$

$x = \frac{0.56 - 0.89*0.38}{0.72}$

$x = 0.3081$

0.3081 = 30.81% probability that the company uses training for employee retention and not for process improvement

5 0

2 years ago

Write an expression in simplest form the perimeter of the figure ?

kondor19780726 [428]

Answer:

4+11a+8b

Step-by-step explanation:

1) 4+3a+2b+6b+5a+3a

2) 3a+3a+5a=11a. 2b+6b=8b

5 0

3 years ago

A riverboat travels 54 km downstream in 2 hours. It travels 57 km upstream in 3 hours. Find the speed of the boat and the speed

irakobra [83]

Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.

First, remember the relation:

Distance = Speed*Time.

Now let's define the variables we will be using:

B = boat's speed
R = river's speed.

When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:

54km = (B + R)*2h

When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:

57km = (B - R)*3h

Then our system of equations is:

54km = (B + R)*2h

57km = (B - R)*3h

To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:

57km = (B - R)*3h

57km/3h + R = B

19 km/h + R = B

Now we can replace that in the other equation:

54km = (B + R)*2h

54km/2h = B + R

27 km/h = B + R = (19 km/h + R) + R

Now we can solve this for R:

27 km/h = 19km/h + 2*R

27 km/h - 19km/h = 2*R

8 km/h = 2*R

(8km/h)/2 = 4km/h = R

Now that we know the value of R, we can use:

B = 19 km/h + R = 19 km/h + 4km/h = 23 km/h

So the boat's speed is 23km/h and the river's speed is 4km/h.

If you want to learn more, you can read:

brainly.com/question/12895249

5 0

2 years ago

At Scott's Laundromat, the washing machines accept only quarters and

Y_Kistochka [10]

Answer:

8 quarters and 12 nickles

Step-by-step explanation:

8*25=2.00

12*.05=.60

4 0

3 years ago