Answer:
Hello your question is incomplete attached below is the complete question
Given: wxyz is a parallelogram, zx ≅ wy prove: wxyz is a rectangle what is the missing reason in step 7? a. triangle angle sum theorem. b. quadrilateral angle sum theorem. c. definition of complementary. d. consecutive ∠s in a ▱ are supplementary. 1. wxyz is a ▱; zx ≅ wy 1. given 2. zy ≅ wx 2. opp. sides of ▱ are ≅ 3. yx ≅ yx 3. reflexive 4. △zyx ≅ △wxy 4. sss ≅ thm. 5. ∠zyx ≅ ∠wxy 5. cpctc 6. m∠zyx ≅ m∠wxy 6. def. of ≅ 7. m∠zyx + m∠wxy = 180° 7. ? 8. m∠zyx + m∠zyx = 180° 8. substitution 9. 2(m∠zyx) = 180° 9. simplification 10. m∠zyx = 90° 10. div. prop. of equality 11. wxyz is a rectangle 11. rectangle ∠ thm.
answer: consecutive angles of any parallelogram are supplementary
Step-by-step explanation:
The missing reason in step 7 is : consecutive angles of any parallelogram are supplementary i.e. m∠ZYX + m∠WXY = 180°
<u>Reason </u>: ZY || WX also XY is the transversal line hence ∠wyx and ∠wxy are the consecutive angles on lines ZY and WX therefore m∠ZYX + m∠WXY = 180° ( sum of consecutive angles )
Answer:
238.64 cm
Step-by-step explanation:
The equation has one solution
Part (a)
<h3>Answer: 0</h3>
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Explanation:
Point P is part of 3 planes or faces of this triangular prism:
- plane PEF (the front slanted plane)
- plane PEH (the left triangular face)
- plane PHG (the back rectangular wall)
Notice how each three letter sequence involves "P", though this isn't technically always necessary. I did so to emphasize how point P is involved with these planes.
Each of the three planes mentioned do not involve line FG
- Plane PEF only deals with point F
- Plane PEH doesn't have any of F or G involved
- plane PHG only involves G
So there are no planes that contain line FG and point P.
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Part (b)
<h3>Answer: 0</h3>
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Explanation:
It's the same idea as part (a) earlier. The planes involving point G are
- plane GQF (triangular face on the right)
- plane GFE (bottom rectangular floor)
- plane GHP (back rectangular wall)
None of these planes have line EP going through them.
As an alternative, we could reverse things and focus on all of the planes connected to line EP. Those 2 planes are
- plane PEH (triangular face on the left)
- plane PEF (front slanted rectangular face)
None of these planes have point G located in them.
