Answer:
3 in wide by 4.5 in long.
Step-by-step explanation:
3/4=0.75
I divided the given dimensions by two, so I could multiply .75 by the sets of twos instead of dividing 3/4 by two and multiplying that by 12 and 8.
.74 x 4 = 3
.75 x 6 = 4.5
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°
If we join the points we are gonna end up with a triangle, from there by finding the centroid of the triangle we will get a point which is equidistant from all the three points given in the diagram.
Formula for Centroid:
Answer:
See explanation!
Step-by-step explanation:
A = Reflection
B= Rotation
C= Translation
D= Dilation
We are given with two equations X + y = k and <span>x - y = k. to find the solution of the </span>system<span> of linear equations, we can use elimination by adding the equations to eliminate y. hence the third equation is 2x= 2k ; x = k, hence y is equal to zero. Answer is C</span>
