The complete proof for the given parallelogram is given in the image attached below.
<h3>What is a Parallelogram?</h3>
A parallelogram is a quadrilateral whose opposite sides are parallel and also congruent to each other.
The complete proof would be as shown below:
1. ABCD is a parallelogram [given]
2. AB║CD [Definition of parallelogram]
3. ∠1 ≅ ∠2, ∠3 ≅ ∠4 [alternate interior angles theorem]
4. AB ≅ CD [Definition of parallelogram]
5. ΔABE ≅ ΔCDE [ASA]
6. AE ≅ CE, BE ≅ DE [CPCTC]
7. AC and BD bisects each other at E [definition of segment bisector]
Learn more about parallelogram on:
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Answer:
y = -2
Step-by-step explanation:
Move all the unknown no. to one side:
4 + 2 = -3y
-3y = 6
Solve the equation:
y = -2
Answer:
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Answer:
Step-by-step explanation:
<u><em>The question is </em></u>
Find the measure of the legs
we know that
In a 45 degrees -45 degrees -90 degrees triangle, the measure of the legs are equal
Let
a ----> the measure of one leg
Applying the Pythagorean Theorem
solve for a
Divide by 2 both sides
Simplify
Answer:
X=-5
Step-by-step explanation:
Start by isolating the variable to one side. So from here we would add 68 to both sides. we will be left with -8 1/4x = -6.25x+10. Then add 6,25 to both sides to cancel on and get -2x=10. Divide both sides by -2 to get x=-5
