Answer:
d. 
Step-by-step explanation:
This is a 45-45-90 right triangle with a Pythagorean triple of (x, x, x√2). Because this is a 45-45-90, both legs have the same measure, namely 8. Therefore, according to the Pythagorean triple, x = 8 (NOT the x in your diagram...the x in the Pythagorean triple). That means that the hypotenuse has a measure of , which is d.
Answer:
x = 10 , y = 15
Step-by-step explanation:
8x - 10 and 7x are alternate angles and are congruent , then
8x - 10 = 7x ( subtract 7x from both sides )
x - 10 = 0 ( add 10 to both sides )
x = 10
Then
8x - 10 = 8(10) - 10 = 80 - 10 = 70
6y + 20 and 8x - 10 are same- side interior angles and sum to 180°, that is
6y + 20 + 70 = 180
6y + 90 = 180 ( subtract 90 from both sides )
6y = 90 ( divide both sides by 6 )
y = 15
Answer:
2000 because you got to subtract
Answer:
if the annual interest rate is 7%, then you need to invest:
present value = future value / (1 + i)ⁿ
- future value = $2,200,000
- i = 7%
- n = 28 years
present value = $2,200,000 / (1 + 7%)²⁸ = $330,884.87
if the interest rate is 15%, the you need to deposit a smaller amount:
present value = future value / (1 + i)ⁿ
- future value = $2,200,000
- i = 15%
- n = 28 years
present value = $2,200,000 / (1 + 15%)²⁸ = $43,942.34
