For the right triangles below, find the exact values of the side lengths c and d. If necessary, write your responses in simplified radical form.

c = 7, d = 4/

Step-by-step explanation:

The first triangle is a 45-45-90 triangle, meaning the two sides adjacent to the right angle are equal to the same value, while the side opposite the right angle is equal to one of the other sides times .

The second triangle is a 30-60-90 triangle, meaning the side opposite the 30 degree angle is equal to x, the side opposite the 60 degree angle is equal to x, and the side opposite the right angle is equal to 2x. Since the side opposite the 60 degree angle is 4, we know that x times is equal to 4. Therefore, x is 4/. The side opposite the 90 degree angle is 2x, and therefore, 8/.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

168

step-by-step explanation:

i am pretty sure that the answer is 168