Answer:
First angle = 30°
Second angle = 60°
Third angle = 90°
Step-by-step explanation:
x + y + z = 180
y + z = 5x
z = y + 30
then:
y + (y+30) = 5x
2y + 30 = 5x
x = (2y+30)/5
then:
x + y + z = 180
{(2y+30)/5} + y + y+30 = 180
{(2y+30)/5} + 2y + 30 = 180
{(2y+30)/5} = 180 - 30 - 2y
{(2y+30)/5} = 150 - 2y
2y+30 = 5(150-2y)
2y+30 = 5*150 + 5*-2y
2y+30 = 750 - 10y
2y + 10y = 750 - 30
12y = 720
y = 720/12
y = 60°
x = (2y+30)/5
x = (2*60 + 30)/5
x = (120+30)/5
x = 150/5
x = 30°
z = y + 30
z = 60 + 30
z = 90°
Check:
x + y + z = 180°
30° + 60° + 90° = 180°
You basically just take 3^2 and 2^2 to get 9/4
9/4 is the answer
The answer is C. 8. Then both can have a denominator that looks like this..
6/8 and 5/8. Hope it helps!
Answer:
The amount is $8358.7 and the interest is $3858.7.
Step-by-step explanation:
Explanation
STEP 1: To find amount we use formula:
A=P(1+rn)n⋅t
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
In this example we have
P=$4500 , r=7% , n=2 and t=9 years
After plugging the given information we have
AAAA=4500(1+0.072)2⋅9=4500⋅1.03518=4500⋅1.857489=8358.7
STEP 2: To find interest we use formula A=P+I, since A=8358.7 and P = 4500 we have:
A8358.7II=P+I=4500+I=8358.7−4500=3858.7
50 = 2 x 25 = 2 x 5 x 5 = 2 x 5^2
20 = 2 x 10 = 2 x 2 x 5 = 2^2 x 5
