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Elanso [62]
3 years ago
5

If triangle abc is similar to triangle def with ab=9, bc=11, and ac=16, then which of the following is closest to the ratio of d

e to df?
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
7 0

Answer:

\frac{de}{df}=\frac{9}{16}  or \frac{de}{df}=0.5625

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

In this problem

Triangle abc is similar to Triangle def

therefore

\frac{de}{df}=\frac{ab}{ac}

substitute the given values

\frac{de}{df}=\frac{9}{16}

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=0.56x−0.25n=0.20x−0.03
katovenus [111]

Given:

m=0.56x-0.25

n=0.20x-0.03

To find:

The sum of m and n.

Solution:

We have,

m=0.56x-0.25

n=0.20x-0.03

The sum of m and n is:

m+n=(0.56x-0.25)+(0.20x-0.03)

Combining the like terms, we get

m+n=(0.56x+0.20x)+(-0.25-0.03)

m+n=(0.76x)+(-0.28)

m+n=0.76x-0.28

Therefore, the sum of m and n is m+n=0.76x-0.28.

7 0
2 years ago
Jaidee spent half of her weekly allowance on clothes. To earn more money her parents let her wash a dog for $9. What is her week
dolphi86 [110]

Answer:

14

Step-by-step explanation:

Firstly, we need to subtract the amount she earned from walking the dog ($9.00) from the end total ($16.00). This leaves us with $7.00.

Since she spent exactly<em> </em><em>half</em> of her weekly allowance, we must multiply the remaining $7.00 by 2. This leaves us with our final answer of $14.00.

3 0
3 years ago
How long will it take a $2 000 investment to earn $544 in interest at a 1.7 interest rate
lozanna [386]

Answer:

16 years

Step-by-step explanation:

1.7% of 2000 is $34

$544 divided by $34 = 16 years, that is if the interest is yearly and not monthly though

7 0
2 years ago
The bed in the bedroom of Melanie's dollhouse is 4 inches long. The bed in Melanie's real bedroom is 6 feet long.
Ostrovityanka [42]

Answer:

Dollhouse Melanie Martinez

Step-by-step explanation:

3 0
3 years ago
Determine weather randomly picking a blue card from a bag containing all blue cards is impossible, unlikely, as likely as not, l
Anuta_ua [19.1K]

Answer:

The correct answer is certain with probability equal to 1.

Step-by-step explanation:

Probability is a mathematical framework which helps us to analyze chance of the outcome in a particular experiment. The value of probability is given by the ratio of the possible outcomes favorable to a certain experiment to the total outcomes.

We say an event is certain when the probability is 1 and the probability is zero when the event is uncertain.

Here the experiment is picking a blue card from a bag containing all blue cards.

Possible outcomes are all the cards colored blue in the bag.

Total outcomes are also all the blue cards in the bag.

∴ The value of probability is 1 as the event is certain because if we pick a card from the bag containing only blue cards, it would certainly give us a blue card.

5 0
2 years ago
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