The sum of the angle measures of any triangle is 180 degrees. suppose that one angle in a triangle has a degree measure of 4x+10 and another has a degree measure of 3x+5 . write an expression for the degree measure of the third angle in the triangle.

4x+10 + 3x+5 +y =180

solve for y  y=third angle

combine like terms

7x+15+y =180

subtract 7x+15 from each side

y = 180 -(7x+15)

y = 180 -7x-15

y = 165 -7x

The third angle equals 165-7x

you're missing vital information, add to it so we can solve this problem for you.

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."