Answer:
42°
Step-by-step explanation:
AD is a line
AEC and DEC are both 90°
AEB and CEB make up 90°
AEB+CEB=AEC substitute
AEB+48=90 Next use Subtraction property of equality
AEB=42
Hope this helps, if so please give me brainliest, it helps a lot. :)
Have a good day!
Answer:
x =10
Step-by-step explanation:
angles are equivalent
170 = 2x + 6x + 90
170 - 90 = 8x +90 - 90
80 = 8x
10 = x
Answer:
Step-by-step explanation:
it is an arithmetic sequence.
c=6-3=3
\[a_{n}=3+(n-1)*3\]
\a_{n}=3n
a_{8}=3*8=24
Answer: 6.93 years
Step-by-step explanation:
Given
Rate of interest is 
Future value is given by 
For the investment to double itself, i.e. 
It takes around 6.93 years to double the investment.
If you had values instead of algebraic expressions, you would find the area of the patio and subtract that from the area of the yard. Even though you don't have values, you can still find the area and subtract by expanding and simplifying:
(8x + 2)(6x + 3)
8x × 6x = 48x²
8x × 3 = 24x
2 × 6x = 12x
2 × 3 = 6
So you get 48x² + 36x + 6 as your area of the yard
(x + 5)(3x + 1)
x × 3x = 3x²
x × 1 = x
5 × 3x = 15x
5 × 1 = 5
So the area of the patio is 3x² + 16x + 5
(48x² + 36x + 6) - (3x² + 16x + 5)
48x² - 3x² = 45x²
36x - 16x = 20x
6 - 5 = 1
So your answer is D. 45x² + 20x + 1. I hope this helps!
