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RSB [31]
2 years ago
7

The measure of an angle is 142.5°. What is the measure of its supplementary angle?

Mathematics
1 answer:
Debora [2.8K]2 years ago
7 0

Answer:

37.50°

Step-by-step explanation:

The sum of both sides of an angle is 180°.

180° - 142.5° = 37.50°

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An inlet pipe can fill an empty swimming pool in 5 hours, and another inlet pipe can fill the pool in 2 hours. How long will it
stich3 [128]

Answer:

1.42 hours

Step-by-step explanation:

In this case we must take into account that the speed would be to fill a pool for a time, that this case is in hours, therefore it would be like this:

1/5 for the first pipe

1/2 for the second pipe

Now, we will use both at the same time, therefore:

1/5 + 1/2 = 1 / x

0.7 = 1 / x

x = 1 / 0.7

x = 1.42

That is to say that if we use both we will take a total of 1.42 hours

3 0
3 years ago
Abby uses base 10 blocks to show 1,109. She has no thousands cubes and only 9 flats, as shown. Draw longs and units on the chart
Vinvika [58]

Answer:

  20 longs, 9 units more than the 9 flats

Step-by-step explanation:

If Abby has 9 flats, she has 900 blocks of the 1109 she needs. The remaining 209 can be represented by ...

  20 longs

  9 units

_____

<em>Comment on the question</em>

We cannot see the model Abby has put together so far, so we don't know exactly what it takes to finish it. Any longs or units she already shows must be subtracted from the numbers above.

4 0
2 years ago
Suppose an airport metal detector catches a person with metal 99% of the time. That is, it misses detecting a person with metal
frozen [14]

Answer:

The probability of missing the first metal-carrying person is P(x≤50)=0.395

Step-by-step explanation:

We define as success to: missing metal carrying detection.

p=0.01

P(x)=\frac{n!}{x!(n-x)!} p^x(1-p)^{n-x}

We look for the probability when all metal carring people is detected so x=0

P(x≤50)=1-P(x=0)=1 - 0.99^{50}=0.395

6 0
3 years ago
X+y=3 x=6-4y using substitution
kenny6666 [7]

Givens

x + y = 3

x =6 - 4y

Solution

Use the top equation to substitute for x in the second equation.

x = 3 - y

Put this result into the second given equation and solve for y

3 - y = 6 - 4y        Add 4y to both sides.

3 - y + 4y = 6       Combine on the left

3 + 3y = 6            Subtract 3 from both sides

3 - 3 + 3y = 6 - 3  Combine

3y = 3                   Divide by 3

3y/3 = 3/3             Combine

y = 1                      

=========================

x + y = 3               but y = 1

x + 1 = 3                Subtract 1 from both sides.

x + 1 - 1 =3 - 1

x = 2

Answer

x = 2

y = 1

4 0
3 years ago
Read 2 more answers
Value walks 2 3/5 miles each day.BI'll runsure 10 miles oncell every 4 days.In 4 days, who covers the greater distance
anyanavicka [17]
The answer is the one that runs 10 miles once every 4 days
4 0
3 years ago
Read 2 more answers
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