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diamong [38]
3 years ago
13

The m∠P is three less than twice the measure of ∠Q. If ∠P and ∠Q are supplementary angles, find the measures of both angles.

Mathematics
1 answer:
notka56 [123]3 years ago
7 0

Answer:

m∠P =119

m∠Q = 61

Step-by-step explanation:

m∠P =  2(∠Q)-3    or p=2(q)-3

supplementary angles so they combine to equal 180!

soooooo we can take  

q+p=180

input what p equals and you get

q+ 2(q)-3=180

3q-3=180

3q=183

q=61

now we have what m∠Q is, so just subtract that from 180 to get m∠P

180-61=119

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Polygon C and polygon D are similar. The perimeter of polygon C is 192 inches, and the perimeter of polygon D is 48 inches. If o
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Answer:

B. 2 in.

Step-by-step explanation:

First, put the two perimeters together to form a fraction.

192/48, which can simplify to 4/1

Now, following the order in which you put the perimeters (I used C/D,) set it equal to the sides.

\frac{4}{1}  =  \frac{8}{x}

Now, cross multiply. (multiply 1 and 8, 4 and x.)

4x = 8

Now, solve.

x=2 inches.

3 0
3 years ago
In 1950, Town A had a population of 200 people and the population increased by 200 people each year. In 1950, Town B had a popul
schepotkina [342]

Answer:

Town B will eventually overtake Town A

in 1990 Town B will have a larger population

Step-by-step explanation:

To work out how big town A will be in 1990 you need to do 200 + (200x40) because you add 40 years worth of increased population onto the starting population

To work out how big town B will be in 1990 you need to use the equation 200 X 1.1^40 because to work out plus 10 percent you need to do 1.1 and do it to the power of 40 for how many years

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4 0
3 years ago
What is 20% of 1630?
sveticcg [70]
20% = 0.20.2 * 1630 = 326
4 0
3 years ago
Read 2 more answers
Suppose 300 nursing students took a certification test that is worth 100 points.
Alja [10]

Answer:

225 students scored 65 or better and 75 students scored 88 or better.

Step-by-step explanation:

We are given that The five-number summary for the scores of 300 nursing students are given :

Minimum = 40

Q_1 = 65

Median = 82

Q_3 = 88

Maximum = 100

Q_1 is the first quartile and is the median of the lower half of the data set. 25% of the numbers in the data set lie below Q_1 and about 75% lie above Q_1 .

Q_3 is the third quartile and is the median of the upper half of the data set. 75% of the numbers in the data set lie belowQ_3 and about 25% lie above Q_3

i) .About how many students scored 65 or better?

Q_1 = 65

Since we know that 75% lie above Q_1 .

So, Number of students  scored 65 or better = 75\% \times 300 = \frac{75}{100} \times 300 =225

ii)About how many students scored 88 or better?

Q_3 = 88

Since we know that 25% lie above Q_3

So, Number of students scored 88 or better = 25\% \times 300 = \frac{25}{100} \times 300 =75

Hence 225 students scored 65 or better and 75 students scored 88 or better.

7 0
3 years ago
HELP ASAP <br><br> Evaluate each expression. Make sure to show your work<br> (-4) - 44 - (-1)
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Answer:

-47

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remove unnecessary parentheses

-4-44-(-1)

calculate the sum or different

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5 0
3 years ago
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