The answer is x = -2. The steps are in the image below.
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Answer:
30degrees
Step-by-step explanation:
Given
Exterior angle m<CDE = 7x - 19 degrees
interior angles are
m<BCD = 2x - 1
m<DBC = x+10
Since the sum of the interior angles is equal to the exterior, hence;
2x - 1 + x+10 = 7x - 19
3x + 9 = 7x - 19
3x - 7x = -19 - 9
-4x = -28
x = 28/4
x = 7
Get m<CDE
m<CDE = 7x - 19
m<CDE = 7(7) - 19
m<CDE = 49 - 19
m<CDE = 30degrees
A rational expression is a ratio of two polynomials. To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator. When the denominators are not the same, we must manipulate them so that they become the same.
Let's solve your equation step-by-step.
2b+1=16−3b
Step 1: Simplify both sides of the equation.
2b+1=16−3b
2b+1=16+−3b
2b+1=−3b+16
Step 2: Add 3b to both sides.
2b+1+3b=−3b+16+3b
5b+1=16
Step 3: Subtract 1 from both sides.
5b+1−1=16−1
5b=15
Step 4: Divide both sides by 5.
5b/5=15/5
<em>answer: b=3</em>
