Six students, each of a different mass, used a motion sensor to measure their speed on a skateboard in the school parking lot. Their speed was held fixed at 3 meters/second (about 7 miles/hour). The table shows how kinetic energy changes when mass is changed. 1st Mass of Student (kilograms)-2nd Kinetic Energy (joules)-3rd Constant Speed (meters/Second) 27 121.5 3 36 162.0 3 45 202.5 3 54 243.0 3 64 288.0 3 73 328.5 3 Think about multiplying the mass of each student by a factor to calculate each student’s kinetic energy. Is there a common factor that works for every student? If so, what’s this factor?

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°