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°
Answer:
0
Step-by-step explanation:
The total money spent for the Dinner and Dessert is $22 so to figure out how much was spent on the taxi ride you're going to want to subtract $22 from $31 (31 = x + 22) or (31 - 22 = x).
Step-by-step explanation:
37 x 10^2 = 3700
Answer:

Step-by-step explanation:
The vertex form of a parabola:

(h, k) - vertex
We have the vertex at (3, 2) → h = 3 and k = 2.
Substitute:

The point (4, 6) is on athe parabola. Put the coordinates of this point to the equation:
<em>subtract 2 from both sides</em>


Finally:
<em>vertex form</em>
<em>use (a - b)² = a² - 2ab + b²</em>
<em>use the distributive property</em>

<em>standard form</em>