MATHEMATICS HIGH SCHOOL

What is an equation of the line that passes through the point (-2, -3) and isparallel to the line 4x - y = 12

Answers

Answer 1

Answer:

Answer: y = 4x + 5

Step-by-step explanation:

Find the slope of the second line.

4x - y = 12

-y = -4x + 12

y = 4x - 12

slope = 4

Therefore, the slope of the second line must also be 4.

Use point-slope form to write the equation.

y + 3 = 4(x + 2)

y = 4x + 5

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What’s the measure of ACD

Answers

Answer:

option H, 130°

Step-by-step explanation:

In order to find the measure of ∠ACD, first find the measure of ∠ACB

∠ACB + ∠ABC + ∠BAC = 180° (angle sum property of a triangle)

∠ACB + 95° + 35° = 180°

∠ACB + 130° = 180°

∠ACB = 180° - 130°

∠ACB = 50°

∠ACD + ∠ACB = 180° (linear pair)

∠ACD + 50° = 180°

∠ACD = 180° - 50°

∠ACD = 130°

therefore, option H is the correct option

hope it helps you!

Jamar has a bag that contains apple chews, lemon chews, and peach chews. He performs an experiment. Jamar randomly removes a chew from the bag, records the result, and returns the chew to the bag. Jamar performs the experiment 59 times. The results are shown below: An apple chew was selected 53 times. A lemon chew was selected 3 times. A peach chew was selected 3 times. Based on these results, express the probability that the next chew Jamar removes from the bag will be apple chew as a decimal to the nearest hundredth.