Please help. there is a picture below

Mathematics

1 answer:

OleMash [197]2 years ago

3 0

Two triangles are similar if and only if all corresponding angles are equal (congruence), even if the corresponding sides are equal or not, therefore the answer is true because ΔJKL and ΔRST are similar and the statement above demands that "it must be", namely, this is a sufficient condition.

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An aquarium contained an equal number of horseshoe crabs and sea stars. After 15 horseshoe crabs were removed and 27 sea stars w

KATRIN_1 [288]

Answer:

45 horseshoe crabs and 45 sea stars

Step-by-step explanation:

The aquarium initially contained x crabs and x sea stars.

"After 15 horseshoe crabs and 27 sea stars are removed the ratio of horseshoe crabs to sea stars is 5:3"

(x-15):(x-27) = 5:3

(x-15)/(x-27) = 5/3

3(x-15) = 5(x-27)

3x-45 = 5x-135

90 = 2x

x = 45

5 0

2 years ago

A woman has twice as many dimes as quarters in her purse. If the dimes were quarters and the quarters were dimes, she would have

Digiron [165]

If x = # of quarters, then, the # of dimes will be equal to 2x. The total value (z) would be equal to:

z = 0.25x + 0.10(2x)

Then, since you switch the quarters and the dimes, and you have a new total, the resulting equation will be:

1.2 + z = 0.25(2x) + 0.10(x)

Plug in the values you know:

1.2 + (0.25x + 0.10(2x)) = 0.25(2x) + 0.10(x)

Solve for x:

1.2 + (0.25x + 0.20x) = 0.50x + 0.10x
1.2 + 0.45x = 0.60x
1.2 = 0.15x
x = 1.2/0.15 = 8

This means that there are 8 Quarters in her bag right now. So, the amount of dimes is just 2x which is 16. So your answer will be:

She has 8 Quarters and 16 Dimes in her bag right now. Or, $3.60.

If this doesn't make sense, then tell me. I have some resources where I got the answer from to put it into simplest terms. I have the website if you want.

4 0

3 years ago

Read 2 more answers

How many different 4-digit numbers can be made from the digits 0, 1, 3, 5, and 7 if no digit is repeated in a number and zero ca

quester [9]

Answer:

There are 96 ways different 4 digit numbers which can be made from these 5 digits.

Step-by-step explanation:

There are 5 different digits. The first one must be

1 3 5 or 7

So you can have 4 for the first one. Now the zero can be put into the mix.

4 * 4 * 3 * 2