Write out the information that you can find out from the question;
Angle 1(a)=2(b) <-- here b represents Angle 2
Angle 3(c)=72+b
a+b+c=180
2b+b+72+b=180
4b+72=180
4b=180-72
4b=108
b=108/4
b=27
Angle a=2(b)
=2(27)
=54 degrees
Angle b= 27 degrees
Angle c=72+27
=99 degrees
Hope I helped :)
N = 1 1/8 because divide by 8 on both sides and simplify the fraction
Well, if each cake takes 2.5 cups, all you need to do is multiply 2.5 x 9 to get your answer!
Answer: the height in inches, of the pile after 3 weeks is 34 11/12 inches
Step-by-step explanation:
Each consecutive week for the next 5 weeks the height of pile increase by 8 7/12 inches. Converting 8 7/12 inches to improper fraction, it becomes 103/12 inches. The height is increasing in an arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 17 3/4= 71/4 inches
d = 103/12 inches
n = 3 weeks
the height in inches, of the pile after 3 weeks, T3. Therefore,
T3 = 71/4 + (3 - 1)103/12
T3 = 71/4 + 2 × 103/12 = 71/4 + 103/6
T3 = 419/12 inches = 34 11/12 inches
