<u>8th Grade: </u>90 x 0.80 = 72
<u>7th Grade:</u> 80 x 0.75 = 60
Conclusion: 8th Graders like pop music more because 72 out of the 90 in 8th grade Dave surveyed enjoy it, compared to the 60 out of 80 in 7th grade that enjoyed it.
The values are vx =
, vw =
and m∠x = 45°, for the given right angle diagram.
Step-by-step explanation:
The given is,
Right angled triangle XVW,
XW = 14
m∠V = 90°
m∠W = 45°
Step:1
Given diagram is right angle triangle,
Trigonometric ratios for right angle is,
∅
............................(1)
∅
.........................(2)
∅
..........................(3)
Step:2
For the value of VX,
∅ 
From given,
∅ = 45°
XW = 14
Above equation becomes,
45 
Where, Sin 45 =
,

Step:3
For the value of VW,
∅ 
From given,
∅ = 45°
XW = 14
Above equation becomes,
45 
Where, cos 45 =
,

Step:4
For the value m∠x = a,
a 
From given,
VX = 
VW = 
Above equation becomes,
a 
a = 1
a =
(1)
a = 45°
m∠x = a = 45°
Step:5
Check for solution,
m∠v = m∠w + m∠x
= 45° + 45°
90° = 90°
Result:
The values are vx =
, vw =
and m∠x = 45°, for the given right angle diagram.
Answer:
Rise: 8.....Run: 4.... Slope: 2
Answer:
n
8
Step-by-step explanation:
You add 4 to both sides to make n the only thing on one side. Then to make the answer look better you move n to the left side and flip the symbol because n changed sides.
