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Mathematics

1 answer:

Nadya [2.5K]3 years ago

7 0

Step-by-step explanation:

angle b = 71°

so, x + b = 180° ( linear pair )

x + 71° = 180°

x = 180° - 71°

x = 109°

Now, a + y = 180° ( linear pair )

93° + y = 180°

y = 180° - 93°

y = 87°

Hence, the value of x is 109° and y is 87°.

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I need help with this

inessss [21]

Answer:

s = -24

Step-by-step explanation:

This is a 2-step linear equation, so can be solved the way all 2-step equations are solved.

<h3>Solution</h3>

Step 1

Identify the constant term on the side of the equation with the variable term, and add its opposite to both sides.

$7 = \dfrac{1}{6}s+11\qquad\text{given}\\\\7-11=\dfrac{1}{6}s+11-11\qquad\text{add $-11$ to both sides}\\\\-4=\dfrac{1}{6}s\qquad\text{simplify}$

Step 2

Multiply both sides by the inverse of the coefficient of the variable.

$(6)(-4)=(6)\left(\dfrac{1}{6}s\right)\qquad\text{multiply both sides by 6}\\\\\boxed{-24=s}\qquad\text{simplify}$

<h3>Alternate solution</h3>

Often, when equations contain fractions, you are advised to "eliminate fractions" as a first step. That generally means you multiply both sides of the equation by a suitable common denominator.

Here, the only denominator is 6, so the fraction can be eliminated by multiplying both sides of the equation by 6.

$7=\dfrac{1}{6}s+11\qquad\text{given}\\\\6(7)=6\left(\dfrac{1}{6}s+11\right)\qquad\text{multiply both sides by 6}\\\\42=s+66\qquad\text{simplify}\\\\42-66=s+66-66\qquad\text{add the opposite of 66 to both sides}\\\\\boxed{-24=s}\qquad\text{simplify}$