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balu736 [363]
3 years ago
9

One of two supplementary angles is five times the other. Find the measure of each angle

Mathematics
1 answer:
Mama L [17]3 years ago
5 0

Answer:

Step-by-step explanation:

supplementary angles add up to 180

so let one angle be x.....and the other angle is 5 times bigger....so let the second angle be 5x

x + 5x = 180

6x = 180

x = 180/6

x = 30

5x = 5(30) = 150

so one angle is 30 and the other angle is 150

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3 0
3 years ago
Aysha has 40 cubes in a bag.
marissa [1.9K]

Given:

Total number of cubes = 40

Red cubes = 18

Blue cubes = 13

Yellow cubes = 9

Aysha adds some more red cubes into the bag.

The probability now that she will take a red cube is 0.5.

To find:

The probability that she will take a yellow cube.

Solution:

Let Aysha adds x red cubes into the bag. Then,

Number of total cubes = 40+x

Number of red cubes = 18+x

Probability of getting a red cube is:

P(Red)=\dfrac{18+x}{40+x}

The probability now that she will take a red cube is 0.5. So,

\dfrac{18+x}{40+x}=0.5

18+x=0.5(40+x)

18+x=20+0.5x

x-0.5x=20-18

0.5x=2

Divide both sides by 0.5.

x=\dfrac{2}{0.5}

x=4

It means Aysha adds 4 more red cubes into the bag.

Now, the total number of cubes int he bag is:

40+4=44

Probability of getting a yellow cube is:

P(Yellow)=\dfrac{\text{Number of yellow cubes}}{\text{Total number of cubes}}

P(Yellow)=\dfrac{9}{44}

Therefore, the required probability is P(Yellow)=\dfrac{9}{44}.

8 0
3 years ago
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