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Gnom [1K]
3 years ago
14

Giving brainliest !!!

Mathematics
1 answer:
Alona [7]3 years ago
4 0
It is given that AB is parellel to CD. These two lines are cut by a transversal, creating angles BAC and DCA. Thus, angle BAC is congruent to angle DCA because alternate interior angles are congruent. It is also given that angle ACB is congruent to angle CAD. Therefore, triangle ABC is congruent to triangle CDA because of the ASA theorem.
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I need a answer AS SOON AS POSSIBLE.. thank you :}
nadezda [96]

Answer:

1. c

2. b

3. c

4. a

5. b

6. c

7. c

Step-by-step explanation:

1. to check the congrency normally distance formula is used. if the distances/ length are equal we say that sides are congurent.

2. if the slope of two lines are equal then both the lines are parallel. if the product of the slopes of two lines equal to one then lines will be perpendicular.

3. diagonals bisect or not can be checked by using midpoint formula.

4. equilateral triangle if the distance of each side is equal so, distance formula can be used.

5 0
3 years ago
Read 2 more answers
Identify a pair of supplementary angles in the figure. answers : 2 and 4 1 and 6 1 and 5 5 and 6
Nuetrik [128]

Answer:

2 and 4

Step-by-step explanation:

This is the only one where the two angles add up to 180 degrees, aka, a straight line.

6 0
3 years ago
The locations:
GREYUIT [131]

The quadrilateral is a trapezoid and the area of the quadrilateral is 85.04 square units

<h3>How to determine the quadrilateral?</h3>

The vertices are given as:

A:(-2, 3) B:(4, -6) C:(10, 2) D:(6, 8)

Next, we plot the vertices (see attachment)

From the attached graph, we can see that the quadrilateral is a trapezoid

<h3>How to determine the area?</h3>

From the plot, we have the following features:

Height: AD

Parallel sides: CD and AB

Calculate the lengths using:

d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}

So, we have:

AD = \sqrt{(-2 -6)^2 + (3 -8)^2}

AD = \sqrt{89}

CD = \sqrt{(10 -6)^2 + (2 -8)^2}

CD = \sqrt{52}

AB = \sqrt{(-2 -4)^2 + (3 +6)^2}

AB = \sqrt{117}

The area is then calculated as:

Area = 0.5 * (CD + AB) * AD

This gives

Area = 0.5 * (√52 + √117) * √89

Evaluate

Area = 85.04

Hence, the area of the quadrilateral is 85.04 square units

Read more about areas at:

brainly.com/question/24487155

#SPJ1

7 0
2 years ago
What value of x is in the solution set of 4x - 12 s 16 + 8x?<br> 6 Of<br> -10<br> -7
xxMikexx [17]

Answer:

Your answer is (D)-7

Step-by-step explanation:

7 0
3 years ago
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Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. Wh
Zigmanuir [339]

Answer: b. 160

Step-by-step explanation: just took the test

5 0
2 years ago
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