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valentinak56 [21]
3 years ago
13

According to the given information, segment AB is parallel to segment DC and segment BC is parallel to segment AD.. Using a stra

ightedge, extend segment AB and place point P above point B. By the same reasoning, extend segment AD and place point T to the left of point A. Angles BCD and PBC are congruent by the Alternate Interior Angles Theorem. Angles PBC and BAD are congruent by the Corresponding Angles Theorem. By the __________ Property of Equality, angles BCD and BAD are congruent. Angles ABC and BAT are congruent by the Alternate Interior Theorem. Angles BAT and CDA are congruent by the Corresponding Angles Theorem. By the __________ Property of Equality, ∠ABC is congruent to ∠CDA. Consequently, opposite angles of parallelogram ABCD are congruent.
What properties accurately complete the proof?

Addition
Transitive

Reflexive
Reflexive

Substitution
Reflexive

Transitive
Transitive
Mathematics
1 answer:
ELEN [110]3 years ago
5 0
Something goes wrong with the question:
" segment AB is parallel to segment DC <span>and segment BC is parallel to segment AD" that is impossible when figure is built.</span>
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Find a and b to make the following matrices equal.
podryga [215]
We need the following to be true
a+2b = -a
a+4 = 2a - 3b

Let's look at the first equation.
a + 2b = -a
Subtract both sides by a
2b = -2a
b = -a

Substitute b= -a into the second equation
a+4 = 2a + 3a
a + 4 = 5a
4a = 4
a = 1

Just take the negative of that and you get the value of b.
b = -1

Your solution is a=1 and b = -1.

Have an awesome day! :)
4 0
3 years ago
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A rectangular prism and a square pyramid were joined to form a composite figure.
azamat

Answer:

B. 333 in.2

Step-by-step explanation:

The area of the base is 81^2

lateral is 45 x 4 = 180^2  (9x5x4)

180^2 add the 72 pyramid = 252^2 + base of 81^2 = 333^2

Composite figueres i do like this as shown to you a few seconds ago.

The triangle shows us just the height

4 inches

We can see that height is smaller central isosceles height across the center base point.

We also can remember to use the length 9inches but divide by 2 and get each triangle area this way.

4 x 1/2 base = 4x 1/2 4.5 = 4 x 2.25 = 9^2 each right side triangle

9 x 8 = 72^2

we add the areas 72+ 81+lateral 180 = 333 inches^2

8 0
3 years ago
There are 16 pieces of fruit in a basket, including 2 nectarines. What is the probability that a randomly selected piece of frui
Ahat [919]

Answer:

1/8

Step-by-step explanation:

P(nectarine) = number of nectarines / total

                       =2/16

                        = 1/8

4 0
3 years ago
2 times 10 to the 4th subtracted to 7 to the 3ed
alekssr [168]

2 x 10 4th power - 7 3rd power

2 x 10,000 - 343

20,000 - 343

19,657

I think this is the answer to your problem.  Hope this helped!

-TTL

6 0
3 years ago
Which expression is equivalent to 1/3(5x+3y)+2/5y+7?
Pepsi [2]
D is the answer because all you have to do is solve
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3 years ago
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