Write and solve an equation to find your final score. Use x to represent your final score.

1 answer:

8 0

Let your final bowling score be x. It is 14 pins less than your friends final score. Your friends final bowling score is 105. Then x is 14 pins less than 105.
1 way: This means that 105 is greater than x by 14. Mathematically,
105-x=14,
-x=14-105,
-x=-91,
x=91.
2 way: When you add 14 to x, you'll get 105.
x+14=105,
x=105-14,
x=91.
Answer: Your final score is 91.

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Angle sum theory A) 3 B) 19 C) 12 D) 10

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Answer:

$\huge\boxed{C)\ 12}$

Step-by-step explanation:

The three interior angles in a triangle will always add up to 180°.

Therefore

$59+(6x-10)+59=180\\(59+59-10)+6x=180\\108+6x=180\qquad|\text{subtract 108 from both sides}\\10-10+6x=180-108\\6x=72\qquad|\text{divide both sides by 6}\\\dfrac{6x}{6}=\dfrac{72}{6}\\\boxed{x=12}$