Answer:
13. x = 7 ; Converse : Alternate interior angles are equal .
14. x=12; Converse used : Linear pair
15. x = 23; Converse: Corresponding angles are equal
Step-by-step explanation:
13.
Refer the attached figure
Given: q || r
(Alternate interior angles )
So, 15x+3=108
15x=108-3
15x=105
x=7
So, x = 7 ; Converse : Alternate interior angles are equal .
14.
Refer the attached figure
Given q||r
(Alternate interior angles
So,
Now
(Linear pair)
So,7x-8+11x-28=180
18x-36= 180
18x=216
x=12
So, x=12; Converse used : Linear pair
15.
Refer the attached figure
Given q||r
(corresponding angles)
90+2x=5x+21
90-21=5x-2x
69=3x
23=x
So, x = 23; Converse: Corresponding angles are equal
9514 1404 393
Answer:
$1790.99
Step-by-step explanation:
<u>Given</u>:
$1625 is invested at an annual rate of 1.95% compounded quarterly for 5 years
<u>Find</u>:
the ending balance
<u>Solution</u>:
The compound interest formula applies.
FV = P(1 +r/n)^(nt) . . . Principal P at rate r for t years, compounded n per year
FV = $1625(1 +0.0195/4)^(4·5) = $1625(1.004875^20) ≈ $1790.99
The account ending balance would be $1790.99.
To find the inverse of the function you can just exchange the name of the variables, change x for y and y for x..
original (direct) function: y = x^2 - 7
inverse function x = y^2 - 7
Then, the answer is the option c.
