If angles 1, 2, and 3 are in the ratio 6:5:4,
find their measures.

∠ 1 = 72° , ∠ 2 = 60° , ∠ 3 = 48°

Step-by-step explanation:

The 3 angles lie on a straight line and sum to 180°

sum the parts of the ratio , 6 + 5 + 4 = 15 parts

Divide 180° by 15 to find the value of one part of the ratio

180° ÷ 15 = 12 , then

∠ 1 = 12 × 6 = 72°

∠ 2 = 12 × 5 = 60°

∠ 3 = 12 × 4 = 48°

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

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