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
If you increase the number of police officers from 648,000 to 719,000...you have increased the total employment by 719,000 minus 648,000
= 71,000
You want to see how much the percentage increase was from 2006 to 2016, so you use your 2006 value of police officers to find the percentage increase.
So you divide 71,000 by 648,000 and multiply by 100
=10.957%
Rounded off to 10.96% which is your final answer
Samantha will have approximately 2.3-2.4 yards of ribbon left.