Answer:
A. a = 10
B. m<FNT = 120°
C. m<KTU = 60°
Step-by-step explanation:
A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:
(7a + 50)° = (14a - 20)°
Use this equation to find the value of a
7a + 50 = 14a - 20
Combine like terms
7a - 14a = - 50 - 20
-7a = -70
Divide both sides by -7
-7a/-7 = -70/-7
a = 10
B. m<FNT = (14a - 20)° (alternate interior angles are congruent)
Plug in the value of a
m<FNT = 14(10) - 20
m<FNT = 140 - 20
m<FNT = 120°
C. m<KTU + (14a - 20)° = 180° (linear pair)
Plug in the value of a
m<KTU + 14(10) - 20 = 180
m<KTU + 120 = 180
m<KTU + 120 - 120 = 180 - 120
m<KTU = 60°
150 minutes / day for a week
= (150 minutes / day) * (7 days / week)
= 150 * 7 minutes / week
= 1050 minutes / week
(1050 minutes / week) * (1 hour / 60 minutes)
= (1050 / 60) hours / week
= (105 / 6) hours / week
= 17.5 hours / week
You could also convert to hours first. 150 minutes = 2.5 hours * 7 days = 17.5 hours per week.
Answer
After the 10 years with accrued interest, there will be roughly $1,552.92 in the account.
Explanation
Using the given equation A = P(1 +r)^t
We are given that our initial start is $500.
P = 500
We are further told that the percentage interest gained is 12%, so we need to convert this into a decimal to be able to work with it.
12% / 100% = 0.12
r = 0.12
t is then our time in years
t = 10
A = 500(1 + 0.12)^10
A = 500(1.12)^10
A = 500(3.1058)
A = 1,552.92
After the 10 years with accrued interest, there will be roughly $1,552.92 in the account.
Answer:
Applying the Pythagorean theorem, the diagonal is calculated by:
D = sqrt(40^2 + 9^2) = 41
Hope this helps!
:)
Answer:
yes yes they do lol
Step-by-step explanation:
