3 years ago

Draw 2 supplementary angles. One angle is x-15 degrees and one is 2x degrees. What is the value of x in degrees?

Mathematics

1 answer:

Bond [772]3 years ago

4 0

Answer:

Step-by-step explanation:

Since they are supplementary, it means the addition of both angles gives 180 degree.

$x - 15 + 2x = 180\\3x = 180 + 15\\3x = 195\\x = \frac{195}{3} \\x = 65$

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-3q + 12 greater than equal too 4q - 30 solve for q

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Step-by-step explanation:

We need to solve the inequality: $-3q+12\geq 4q-30$ and find value of q

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$-3q+12\geq 4q-30\\Adding\,\,-12\,\,on\,\,both\,\,sides:\\-3q+12-12\geq 4q-30-12\\-3q\geq 4q-42\\Adding\,\,-4q\,\,on\,\,both\,\,sides:\\-3q-4q\geq 4q-42-4q\\-7q\geq -42\\Divide\,\,both\,\,sides\,\,by\,\,7\\\frac{-7q}{7}\geq \frac{-42}{7}\\ -q\geq -6\\Multiply\,\,both\,\,sides\,\,by\,\,-1\,\,and\,\,reverse\,\,the\,\,inequality:\\q\leq 6$

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Keywords: Solving inequality

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