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:
x=-6
Step-by-step explanation:
Given: 8+ (x/3)=-2
Step 1: 8+(x/3 times 3) = -2 times 3 which leads to 8+x=-6
Step 2: 8(-8)+x=-6 which leads to x=-6
Answer: x=-6
Answer: m=8
Step-by-step explanation:
5m-8=3m+8
Move the variable to the left hand side and change its sign; move the constant to the right hand sign and change it's sign
5m-3m=8+8
Collect like terms
2m=16
Divide both sides by 2
2m/2=16/2
m=8
the answer should be 44. you plug in -7 for x.