Gerard concluded that the triangle with sides StartRoot 95 EndRoot feet, 8 feet, and StartRoot 150 EndRoot cannot be used as a building frame support on the house because it is not a right triangle. How did Gerard come to that conclusion? Explain.

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Step-by-step explanation:

Here, we want to find out how Gerard came to the conclusion

For him to arrive at this conclusion, then we should consider the lengths given if they form a right triangle and are suitable for the building frame

From the lengths that we have

If we square the longest length, then the sum of the squares of the two other lengths should be the same as it is

This is in obedience to Pythagoras’ theorem

However, this does not hold

√(150)^2 is not equal to 8^2 + (√(95))^2)

and so since this does not work, then the triangle is not right-angled and cannot be use as the frame

lol

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.