BD is 31 degrees because it is the same.
ADB is 90-31 because it is a right angle ( 59 degrees)
DEC is 180 - (31*2) because the 180 is of the trangle and the 31 is the same on the other side so times 2 then removed from 180

the first step is to deal with the negative exponents, which causes numbers to go to the other side of the fraction
8x^{-9}+(-3x^{-3}y^{-2})(\frac{5}{x^6y^{-2}})
goes to

now we can simplify the multiplied terms

Now that we have common bases, we can add the 2 fractions together to get

First make an equation then solve for the variable.
8,800 is the end goal so that is what it is going to equal
Since his parents are contribuating 6,000 we can add that as a constant
Now it says in 2 years but it askes us in months so we times 2 by 12 to get 24 months he will be saving.
Now it is asking us how much he should save per month be we don't know that so that is our variable.
8,800 = 24x + 6,000
Solve
8,800 - 6,000 = 24x
2800/24 = x
116.67 = x (rounded for currency)
Sean would have to save $116.67 a month in order to pay for the community college
Answer:
b ≈ 7.54 cm
Step-by-step explanation:
Pythagorean Theorem
a² + b² = c²
a and b are the sides and c is the hypotenuse
hypotenuse is 11 cm
a side is 8 cm
so
8² + b² = 11²
64 + b² = 121
-64 -64
b² = 57
√b² = √57
b ≈ 7.54 cm ( use ≈ because its rounded so its not exact)