Answer:
B) 60
Step-by-step explanation:
<u>Given:</u>
- <A = 2x
- <B = 60
- <A and <B are supplementary angles (they add up to 180)
<u>Equation:</u>
<A + <B = 180
2x + 60 = 180
2x = 180 - 60
2x = 120
x = 60
Answer:
we must get more than 4 digs in the remaining 3 games break record of 20
Step-by-step explanation:
given data
current volleyball season = 16 digs
games left in the season = 3
previous record = 20 digs
solution
we consider here the number of digs x that must get in the remaining 3 games to break your record
so for break previous record of 20 digs, we have to get more than 20
so 16 digs must add to x to greater than 20
x + 16 ≥ 20 ...............................1
so x will be
x ≥ 20 - 16
x ≥ 4
so that we must get more than 4 digs in the remaining 3 games break record of 20
Answer:
4
Step-by-step explanation:
4d + 1 = 17
1 + 4d = 17
Move all terms containing d to the left, all other terms to the right.
1 + -1 + 4d = 17 + -1
0 + 4d = 17 + -1
4d = 17 + -1
4d = 16
d = 4
Answer:
50 girls
Step-by-step explanation:
Given data
We have the ratio as
7:10
The total part = 7+10= 17
let the number of boys and girls be x
applying the part to all method
7/17= 35/x
cross multiply
7x= 35*17
7x=595
x=595/7
x= 85
Hence the number of girls is
=85-35
=50 girls
Answer:
DK = 9
Step-by-step explanation:
In triangle AMD,
h² = p² + b²
or, h² = 6² + 4²
or, h²= 36 + 16
so, h² = 52
so, AM² = 52
Take x as reference angle,
cos²x = 16/52
Now,
In triangle, AMK,
Taking x as reference angle,
cos²x = b²/h²
cos²x = AM²/MK²
or, cos²x = 52/MK²
Now,
cos²x = 16/52 = 52/MK²
or,
16/52 = 52/MK²
or, 16MK² = 2704
or, MK² = 2704/16
or, MK² = 169
so, MK = 13
Now,
DK = MK - MD
or, DK = 13 - 4
so, DK = 9