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3 years ago

Angles X and Y are complementary. The measure of Angle Y is 55.5 degrees. What is the measure of Angle X?

Mathematics

1 answer:

mina [271]3 years ago

8 0

Two angles are called complementary when their measures add to 90 degrees

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Write an equation of the line passing through point p that is parallel to the given line.

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

y=-3x+13

y = mx + b, where m is the slope and b is the y-intercept.

A line parallel to this line will have the same slope, -3. We can start by writing:

y = -3x + b

No matter what is chosen for the value of b, this line will be parallel. We do want the line to go through point (6,10), however. The way that can be done is to find a value of b that would shift the line to go through (6,10).

Find b by entering the point (6,10) into the equation, and then solve for b:

y = -3x + b

10 = -3(6) + b

10 = -18 + b

b = 28

The line becomes y = 3x + 28

See the attachment.

8 0

2 years ago

Bob bought a pair of shoes that were listed at $130. If he paid $8.45 in sales tax, what was the sales tax percentage?

Musya8 [376]

Answer:

15.38461538461538‬

Step-by-step explanation:

6 0

3 years ago

Boatesville is 65 3/5 kilometers from Stanton. A bus traveling from Stanton is 24 1/3 kilometers from Boatesville. Write an equa

Elena L [17]

Distance the bus has traveled :

$65 \dfrac{3}{5} - 24\dfrac{1}{3}$

$= 65 \dfrac{3 \times 3 }{5 \times 3} - 24\dfrac{1 \times 5}{3 \times 5}$

$= 65 \dfrac{9 }{15} - 24\dfrac{5}{15}$

$= 41 \dfrac{4 }{15} \text { km}$

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$\text {Answer : The bus has traveled }41 \frac{4}{5} \text { km}$
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8 0

3 years ago

A pet owner has 5 cats. Each cat has 2 ears and 4 paws. Complete the double number line to show the numbers of ears and paws for

aleksandrvk [35]

Answer:

If there are 3 cats in the room, what is the ratio of ears to paws? 1 : 2

If there are 4 cats in the room, what is the ratio of paws to ears? 2 : 1

If all 5 cats are in the room, how many more paws are there than ears? the number of paws is twice as more than the number of ears, we have 10 more paws than ears.

Step-by-step explanation:

You can see the double number line for this situation in the attached photo.

So as we can see in the double number line diagram, if there are 3 cats in the room we would have an ears to paws ratio of 6 : 12 , which simplified would be 1 : 2, meaning that for every ear there are 2 paws.

For the next question, if there are 4 cats in the room, the paws to ears ratio would be 16 : 8, simplified to 2 : 1, meaning that for every 2 paws there is 1 ear.

And for the last question, if all 5 cats are in the room, we have that the paws to ears ratio is 20 : 10, simplified again to 2 : 1, meaning the number of paws is twice as more than the number of ears, so in this case we have 10 more paws than ears.

7 0

3 years ago

Solve for b: b² = 8b + 84

levacccp [35]

B² = 8b + 84
b² - 8b - 84 = 0
b = -(-8) +/- √((8)² - 4(1)(-84))
 2(1)
b = 8 +/- √(64 + 336)
 2
b = 8 +/- √(400)
 2
b = 8 +/- 20
 2
b = 4 + 10
b = 4 + 10 b = 4 - 10
b = 14 b = -6

4 0

3 years ago