In the figure below, angle y and angle x form vertical angles. angle x forms a straight line with the 50° angle and the 40° angle.

write and solve an equation to determine the measure of angle y.

Measure of ∠y is 90°

Step-by-step explanation:

We see that,

∠x and ∠y are vertical angles and ∠x, 40°, 50° are in a straight line.

Since, we know, Sum of angles in straight line is 180°.

Then, ∠x + 40° + 50° = 180°

i.e. ∠x = 180° - 90°

i.e. ∠x = 90°

Also, we know, 'Vertical angles have equal measures'.

So, ∠y = ∠x = 90°

Hence, measure of ∠y is 90°

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

2x + 8

step-by-step explanation: