Do 12inches + 16inches + 20inches make a right triangle

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  possibly

Step-by-step explanation:

We are not told what these are the measures of, or why we're adding them (listing them with a "+" sign between). Laid end-to-end, they can make something 48 inches long.

A right triangle can be formed that has sides of lengths 12 in, 16 in, and 20 in. (It is a 3-4-5 right triangle with a scale factor of 4 inches.)

In case you don't recognize the ratios 12 : 16 : 20 = 3 : 4 : 5 as being a Pythagorean triple, you can check using the Pythagorean theorem. The triangle is a right triangle if (and only if) the sum of the squares of the shorter sides equals the square of the longest side.

  12² + 16² = 144 +256 = 400 = 20²

These lengths can make a right triangle.

no problobm

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."