Just take it in co-ordinate pairs
- (x,y)=(Arm span,Height)
Take two points
- (58,60)
- (41,40)
Slope:-
Equation of line in point slope form
- Convert to slope intercept form y=mx+b
Graph attached
David made these grades on 5 math tests: 93, 87, 84, 96 and 80. what must he make on the 6th test to have an average of 90?
1 answer:
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By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.
This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.
Then:
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are <em><u>same-side interior angles</u></em>. Because AB and DC are <em><u>parallel</u></em>, the same-side interior angles must be <em><u>supplementary</u></em> by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.
