Answer:
a) 11
Step-by-step explanation:
Since activity H came before all other activities, we can discard 14 and 18 as possible answers. Also the exercise tells us that all those activities came immediately after activity H, that means that activity H finishes right before the first activity from K, M and S starts. This means that activity H should end at 11, because that is the start time for the first activity.
Answer/Step-by-step explanation:
Given:
m<EFH = (5x + 1)°
m<HFG = 62°
m<EFG = (18x + 11)°
Required:
1. Value of x
2. m<EFH
3. m<EFG
SOLUTION:
1. Value of x
m<EFH + m<HFG = m<EFG (angle addition postulate)
(5x + 1) + 62 = (18x + 11)
Solve for x using this equation
5x + 1 + 62 = 18x + 11
5x + 63 = 18x + 11
Subtract 18x from both sides
5x + 63 - 18x = 18x + 11 - 18x
-13x + 63 = 11
Subtract 63 from both sides
-13x + 63 - 63 = 11 - 63
-13x = -52
Divide both sides by -13
-13x/-13 = -52/-13
x = 4
2. m<EFH = 5x + 1
Plug in the value of x
m<EFH = 5(4) + 1 = 20 + 1 = 21°
3. m<EFG = 18x + 11
m<EFG = 18(4) + 11 = 72 + 11 = 83°
Answer:
it's 80.
Step-by-step explanation:
120-40= 80
....
Answer:
is the nth term of the given sequence.
Step-by-step explanation:
The sequence given is
We can clearly see that 1st term is 
and 2nd term is 
2nd term is obtained by multiplying the 1st term by 2.
2nd term is and 3rd term is 1.
3rd term is obtained by multiplying the 2nd term by 2.
3rd term is 1 and 4th term is 2.
4th term is obtained by multiplying the 3rd term by 2.
Clearly, the given series is a <em>Geometric Progression(GP)</em> with
First term, 
Common Ratio, 
We know that 
term for a GP is:
Putting values of <em>a</em> and <em>r</em>
Hence, is the nth term of the given sequence.
