Given:

To find:
The value of x.
Solution:
We know that, corresponding sides of similar triangles are proportional.
Since,
, therefore

On substituting the values from the figure, we get


On cross multiplication, we get




Therefore, the value of x is 4.
Rotation
It’s rotating 90 degrees counterclockwise
Answer:X2 = 5
Y2 = 4
ΔX = 4
ΔY = 3
θ = 36.869897645844°
Equation of the line:
y = 0.75x + 0.25
When x=0, y = 0.25
When y=0, x = -0.33333333333333
OR
X2 = -3
Y2 = -2
ΔX = -4
ΔY = -3
θ = 216.86989764584°
Equation of the line:
y = 0.75x + 0.25
When x=0, y = 0.25
When y=0, x = -0.33333333333333
The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.
Step-by-step explanation:
The given is,
In ΔWXY, ∠Y=90°
XW = 53
YX = 28
WY = 45
Step:1
Ref the attachment,
Given triangle XWY is right angled triangle.
Trigonometric ratio's,
∅
For the given attachment, the trigonometric ratio becomes,
∅
.....................................(1)
Let, ∠X = ∅
Where, XY = 28
XW = 53
Equation (1) becomes,
∅ 
∅ = 0.5283
∅ =
(0.5283)
∅ = 58.109°
Result:
The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.
Answer: 48
Step-by-step explanation: