Answer:
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Step-by-step explanation:
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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°
A1=6.9
a) an=(an-1)(1.1)
b) an=(6.9)(1.1^n-1)
c) 46.419 billion
The sum of 5 consecutive integers is 110<span>.
Hope it helps :)</span>
Answer:
25x - 45 = 5(5x - 9)
Step-by-step explanation:
Find the greatest common factor (GCF) of 25 and 45.
You can do this several ways, but one way is to list all the factors of both numbers and find the greatest common one:
Factors of 25: 1, 5, 25
Factors of 45: 1, 3, 5, 9, 15, 45
Therefore, 25 and 45 have 2 common factors: 1 and 5
So the greatest common factors is 5
25x - 45 = 5(ax - b)
To find the value of a, simply divide 25 by 5: 25 ÷ 5 = 5
To find the value of b, divide 45 by 5: 45 ÷ 5 = 9
25x - 45 = 5(5x - 9)