Answer:
The value of x is 7 and value of y is 45
Step-by-step explanation:
In ΔXYZ
∠X = 50°, ∠Y=30°
To Find ∠Z we will use angle sum property of triangle (Sum of all angles of triangles is 180°)
So,∠X + ∠Y + ∠Z = 180°
So,50°+30°+ ∠Z = 180°
∠Z=180°-80°
∠Z=100°
Now we are given that ΔXYZ ≅ΔFED
So, the corresponding sides are equal and the corresponding angles are equal.
So, ∠Z= ∠D
So, 100=2y+10
100-10=2y
90=2y
45=y
Now XY = EF
So, 9 = 3x-12
21=3x
7=x
Hence The value of x is 7 and value of y is 45
Supplimentary angles add upto 180 degrees.
Given that angle P is three times angle Q-4 then ;
Let angle P be 3(x-4) = 3x -12
Let angle Q be x
Applying the rule of supplimentary angles;




Divide both sides by 4 to get value of x in degrees

x= 48 degrees
Angle Q = 48 degrees
Angle P = 3x-12 = (3*48)-12 = 132 degrees
Answer:
62 miles per hour speed if you drove 325 miles in 5 1/4 hours
Step-by-step explanation:
Using formula:

As per the statement:
if you drove 325 miles in 5 1/4 hours
⇒
miles
and
Time =
hours
Then by above formula we have;
miles per hour
Therefore, 61.90 ≈ 62 miles per hour speed if you drove 325 miles in 5 1/4 hours
Let the prices of a pack of potato chips and can of coke be x and y respectively
3x+2y=50-9
3x+2y=41........... (1)
4x+5y=50+21
4x+5y=71............(2)
Multiply (1) with 4 and (2) with3
12x+8y=164
12x+15y=213
On subtracting above eqs. we get
7y= 49
y=7
Putting value of y in (2)
4x+5(7)=71
4x+35=71
4x=36
x=9
x=$9
y=$7
MARK IT BRANLIEST PLZZZ....