Answer:
55080
Step-by-step explanation:
She makes 54,000 this year
she gets a 2% raise
her increase will be
54000*.02 =1080
The new salary will be
54000+1080
55080
Answer: Translation: The school will build a fast soccer field that is 120m long and 60m wide, but around it there will be an 8m wide race track. Find the area of the terrain and the area of the track
Step-by-step explanation:
Commutative property of multiplication
The first shaded triangle is 144 cm.
We are given:
- Parallelogram CDEF
- ∠C = 13x - 10
- ∠D = 5x + 10
To Find: ∠E
Concept Used:
- Adjacent angles of a Parallelogram are Supplementary
Finding the value of 'x':
Since adjacent angles of a parallelogram are Supplementary:
∠D + ∠C = 180
5x + 10 + 13x - 10 = 180 [replacing the values of angle C and D]
18x = 180
x = 10 [dividing both sides by 18]
__________________________________________________________
Finding Measure of Angle D:
We are given that:
∠D = 5x + 10
∠D = 5(10) + 10 [since x = 10]
∠D = 60°
__________________________________________________________
Finding the measure of ∠E:
∠D and ∠E are Adjacent angles
Since Adjacent angles are Supplementary:
∠D + ∠E = 180
60 + ∠E = 180
∠E = 120° [subtracting 60 from both sides]
Hence, the measure of ∠E = 120°
