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Anika [276]
1 year ago
15

I need help with this 8

Mathematics
1 answer:
zubka84 [21]1 year ago
6 0

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:

brainly.com/question/3050890

#SPJ1

You might be interested in
Please give the correct answer and explain im really trying to learn this so I need the explanation not just an answer. Thankyou
Maksim231197 [3]

Answer:

x = tan⁻¹(⅘)

Step-by-step explanation:

We can solve for x by using trigonometric ratios (sin, cos, and tan)

We need to apply the appropriate ratio that uses the two sides 8 and 10 from the perspective of x. See attached image for information about ratios. (Source: Math is Fun)

The tangent ratio is opposite divided by adjacent. It will relate x to the two sides. So we would write

tan(x) = ⁸⁄₁₀

Then we simplify and move the tan to the other side by multiplying both sides by the inverse of tan (since you cannot divide by tan)

tan(x) = ⅘

x = tan⁻¹(⅘)

Then we can use a calculator to evaluate x

If you want to find y, now that you have two angles of the triangle, you can find the sum of 90 + x and subtract that from 180 (since all angles of a triangle add up to 180) to find y.

6 0
3 years ago
PLEASE HELP ME ASP! Brainlist and 25 points!
Bezzdna [24]

Answer:

Answer is in the explanation

Step-by-step explanation:

I don't know exactly word from word what your choices look like...

but I can describe per each box what happened in my own words:

First box:  They multiply first equation by 3 and the second equation by 2 to obtain the equations in that first box.

Second box: They subtracted the two equations in the first box to obtain 1x+0y=2 which means 1x=2 or x=2 (this is called solving a system by elimination

Third box: They used their first original equation (before the multiplication manipulation) and plug in the value they got for x which was 2 giving them 3(2)-2y=10

Fourth box: They simplified the equation 3(2)-2y=10 by performing the multiplication 3(2) giving them 6-2y=10

Fifth box:  They subtracted 6 on both sides giving them -2y=4

Sixth box:  They divided both sides by -2 giving them y=-2

I will summarize then what I wrote above:

1st box: Multiplication Property of Equality

2nd box: Elimination

3rd box: Substitution (plug in)

4th box: Simplifying

5th box:  Subtraction Property of Equality

6th box: Division Property of Equality

4 0
3 years ago
Using an ordered alphabet of 26 letters, how many ways are there to choose a set of six letters such that no two letters in the
mestny [16]
To find our solution, we can start off by creating a string of 27 boxes, all followed by the letters of the alphabet. Underneath the boxes, we can place 6 pairs of boxes and 15 empty boxes.The stars represent the six letters we pick. The empty boxes to the left of the stars provide the "padding" needed to ensure that no two adjacent letters are chosen. We can create this - 
\binom {21} {6}= \frac{21*20*19*18*17*16}{6*5*4*3*2*1} =21*19*17*8=54264
Thus, the answer is that there are \boxed{54264} ways to choose a set of six letters such that no two letters in the set are adjacent in the alphabet. Hope this helped and have a phenomenal New Year! <em>2018</em>
5 0
3 years ago
Please help thanks! Brainliest <br> Sorry for spamming.
Bad White [126]

Answer: −10

Step-by-step explanation: 9^2−21/−6

81−21/−6

60/−6

−10

6 0
3 years ago
Evaluate 6+2•3-1 A) 23 B)16 C)10 D)11
Ratling [72]

6 + 2 * 3 - 1

2 * 3 = 6

6 + 6 - 1

6 + 6 = 12

12 - 1 = 11

D) 11

7 0
3 years ago
Read 2 more answers
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