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ohaa [14]
4 years ago
9

6 + 0.10x = 0.15x + 8

Mathematics
1 answer:
Dovator [93]4 years ago
7 0
Simplifying
6 + 0.10x = 0.15x + 8

Reorder the terms:
6 + 0.10x = 8 + 0.15x

Solving
6 + 0.10x = 8 + 0.15x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.15x' to each side of the equation.
6 + 0.10x + -0.15x = 8 + 0.15x + -0.15x

Combine like terms: 0.10x + -0.15x = -0.05x
6 + -0.05x = 8 + 0.15x + -0.15x

Combine like terms: 0.15x + -0.15x = 0.00
6 + -0.05x = 8 + 0.00
6 + -0.05x = 8

Add '-6' to each side of the equation.
6 + -6 + -0.05x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -0.05x = 8 + -6
-0.05x = 8 + -6

Combine like terms: 8 + -6 = 2
-0.05x = 2

Divide each side by '-0.05'.
x = -40

Simplifying
x = -40

Here’s the answer :)
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1. We have been given that angle 1 is complementary to angle 2.

2. Since we know that complementary angles add up to 90 degrees, therefore, by the definition of complementary m\angle 1+ m\angle 2=90^{o}.

3. We have been also given that line segment  BD bisects \angle ADC.                

4. By the definition of bisect \angle 2 \cong \angle 3.

5. Angles are congruent if their measures, in degrees, are equal, therefore, by angle congruence postulate  m\angle 2=m\angle 3.        

6. m\angle 1+ m\angle 2=90^{o}

Upon substituting m\angle 2=m\angle 3 in above equation we will get,

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Therefore, by substitution property of equality m\angle 1+ m\angle 3=90^{o} .

Hence, proven that angle 1 is complementary to angle 3.

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Remember that for the natural logarithm, as x tends to zero the function tends to negative infinity.

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