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°
Your mistake is that 1 pound and 15 ounces <em>does not equal</em> 1.15 pounds. You also did not make everything into the same measurement (you mixed up pounds and ounces). I will make everything into the measurement of <em>ounces</em>, since the numbers do not come out clean if we do pounds.
18 pounds (original) = 288
1 pound 15 ounces = 31 ounces
3 1/8 pound = 50 ounces
4 1/2 pound = 72 ounces
So after cutting out those steaks, Mr. Rand has 288-31-50-72 = 135 ounces. Then, it states that he divides those up into 9 ounce patties:
135/9 = 15 patties
And sells them at 3 for $3.12. There are 5 3's in 15 patties, so it is 5 * $3.12 = Mr Rand receives $15.60 for the patties.
Answer:
The missing side length is 3x^2 + 2x -4
Step-by-step explanation:
Here, we are interested in calculating the length of the missing side.
Mathematically, the area of a rectangle = L * B
So since we have the area and one side, to get the other side, we shall need to divide the area by the side we have ;
Thus, the missing side length will be;
6x^3+19x^2+2x-20/2x+ 5
Please check attachment for the polynomial long division
The value of the other factor after the polynomial long division is 3x*2 + 2x -4
Answer:
the answer is B
Step-by-step explanation:
We can visualize in this picture that there's angles that are facing each other and 2 sides one tops and one on the side.
It is a circle because if you find how much centimeters are in a circle you get the most centimeters out of the 3 of them.
