Where is the quadrilateral I need a picture so I can answer
Answer:
B.
Step-by-step explanation:
If you rearrange the equation in b, you get
y=5(x-3)+15
This means that your f(1) is equal to f(3), or 15, and for each additional month, it increases by 5, which is what the table shows.
Find the rectangle area
A = 8*4 = 32 in²
Find the height of trapezoid
8-4 = 4 in
Find the area of trapezoid
(5,3+8)*4/2 = 13,3*4/2 = 53,2/2 = 26,6 in²
Find the figure area
26,6+32 = 58,6 in²
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]
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Finding Measure of Angle D:
We are given that:
∠D = 5x + 10
∠D = 5(10) + 10 [since x = 10]
∠D = 60°
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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°
