Step-by-step explanation:
1. ABCD is a trapezoid
We are given that ABCD is a trapezoid.
2. AD || BC
By definition of a trapezoid, one pair of opposite sides are parallel.
3. ∠ADE ≅ ∠CBD
Since AD and BC are parallel, the angles formed by the transversal line BD are congruent alternate interior angles.
4. ∠DAE ≅ ∠BCA
Line AC is also a transversal line, so the angles it forms with AD and BC are also alternate interior angles, which are congruent.
5. ΔAED ~ ΔCEB
Triangles AED and CEB share two pairs of congruent angles, so by AA similarity, they are similar.
Answer:
its c
Step-by-step explanation:
Answer:
<h2>
2x + 3y = 33 </h2>
Step-by-step explanation:
As we move from (-2, 5) to (1, 3), x increases by 3 and y decreases by 2.
Hence, the slope of this line is m = rise / run = -2/3.
Start with the slope-intercept form y = mx + b.
Substitute 3 for y and 1 for x and -2/3 for m:
3 = (-2/3)(1) + b.
Remove fractions by mult. all three terms by 3:
9 = -2 + b, so b = 11, and y = (-2/3)x + 11
Again, mult. all three terms by 3:
3y = -2x + 33, or, in standard form,
<h2>
2x + 3y = 33 </h2>
The volume of the solid is 758.83 in³
i think