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svp [43]
3 years ago
8

Similar right triangles Solve for x include a explanation

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
4 0

Answer:

x = 12

Step-by-step explanation:

The figure in the question was split into the triangles in the attachment to the solution.

Now applying the principle of similar triangles, we have:

\frac{16}{x} = \frac{x}{9}

cross-multiplying, we have:

x^{2} = 16*9 = 144

solving for x,

x = 12

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Three teachers buy prizes to put in the prize bin at school. Mrs. Maiers spends $7.68 on stickers.
SashulF [63]

Hi there! The answer to this problem would be 36.64$.

Step By Step:

So there is three teachers and they all brought something.

_____________________________________

| Mrs.Maiers  | 7.68$                                                |

| Mr.Lang       | 11.52$                                               |

| Mrs.Connor | 17.64$                                              |

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Total Cost: 36.64

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2 years ago
Which statement BEST explains the relationship between these two facts? NEED HELP QUICK!
gulaghasi [49]

Answer:

Chocolate is now a sweet treat that is very popular in the united states.

Step-by-step explanation:

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2 years ago
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MissTica
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8 0
3 years ago
Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will
Vadim26 [7]

Answer:

1) 2 lbs

2) 0.17 lbs

3) 9.5 lbs

Step-by-step explanation:

Amount of sugar Ella has = 0.5 lbs

Let the amount of water she adds to make the solution = x lbs

So total amount of the mixture would be = (x + 0.5) lbs

Case 1: 20% syrup

20% syrup means the sugar percentage in the mixture should be 20% of the entire mixture. So, 0.5 should be 20% of (x + 0.5). In equation form this can be written as:

0.5 = 20% of (x + 0.5)

0.5 = 0.2(x + 0.5)

Dividing both sides by 0.2, we get:

2.5 = x + 0.5

x = 2 lbs

This means, 2 lbs of water should be added to make 20% syrup solution. So, total syrup she would have will be 2.5 lbs.

Case 2: 75% syrup

75% syrup means the sugar percentage in the mixture should be 75% of the entire mixture. So, 0.5 should be 75% of (x + 0.5). In equation form this can be written as:

0.5 = 75% of (x + 0.5)

0.5 = 0.75(x + 0.5)

Dividing both sides by 0.75, we get:

0.67 = x + 0.5

x = 0.17 lbs

This means, 0.17 lbs of water should be added to make 75% syrup solution. So, total syrup she would have will be 0.67 lbs.

Case 3: 5% syrup

5% syrup means the sugar percentage in the mixture should be 5% of the entire mixture. So, 0.5 should be 5% of (x + 0.5). In equation form this can be written as:

0.5 = 5% of (x + 0.5)

0.5 = 0.05(x + 0.5)

Dividing both sides by 0.05, we get:

10 = x + 0.5

x = 9.5 lbs

This means, 9.5 lbs of water should be added to make 5% syrup solution. So, total syrup she would have will be 10 lbs.

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3 years ago
Kristine is comparing the typing speeds of her friends. The following tables shows their typing speeds.
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