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Step-by-step explanation:
Given mCDF = (3x + 14), mFDE = (5x - 2), and mCDE = (10x – 18)", then the expression mCDE = mCDF+mFDE is true.
To get x, we will substitute the given angles into the formula as shown;
(10x – 18) = (3x + 14)+ (5x - 2)
10x-18 = 3x+5x+14-2
10x-18 = 8x+12
10x-8x = 12+18
2x = 30
x = 30/2
x = 15
Find the measure of each angle
For mCDF:
mCDF = 3x + 14
mCDF = 3(15)+ 14
mCDF = 45+14
mCDF = 59°
For mFDE:
mFDE = (5x - 2)
mFDE = 5(15) - 2
mFDE = 75-2
mFDE = 73°
For mCDE:
mCDE = (10x – 18)
mCDE = 10(15) - 18
mCDE = 150-18
mCDE = 132°
The general eaquation of a parabola in terms of its vertex is:
y = a(x - h)^2 + k
where the vertex point is (h, k)
therefore, an equation of a parabola with vertex (1, -2) is:
y = 5(x - 1)^2 - 2
The easiest way to solve this question would be to subtract the 6 from the 48 which results in 42. Then because the length is twice it’s width we divide the 42 by 3 which gives us 14. Therefore the width is 14 and the length is double of fourteen which is 28
Yes. it is. a rational number includes whole,natural and integers
