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.
Answer:
Step-by-step explanation:
y =4/3 x+4
slope intercept form
y = mx+b
the y intercept is 4 (0,4)
and the slope is 4/3 which is change in y over change in x
we go up 4 to the right 3
we can rewrite the slope as -4/-3
so we can go down 4 and to the left 3
this would be point (-3,0)
we have 2 points marked, now draw a line throught them
A parallelogram is a flat shape with opposite sides parallel and equal in length. The diagonals of a parallelogram bisect<span> each other. In simpler words, they intersect halfway point. We calculate as follows:
</span>d2 = √<span>2a^2 + 2b^2 - d1^<span>2
</span></span>d2 = √2(7)^2 + 2(9)^2 - 14^2
d2 = 8 inches
Find the iqr of the data set 0, 0, 1/4, 1/2, 1/2, 5/4, 1, 1, 1, 2, 2
andrew11 [14]
Answer:
0, 0, 1, 1, 1, 2, 2
Step-by-step explanation:
25th Percentile: 0
50th Percentile: 1
75th Percentile: 2
Interquartile Range: 2
