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Anettt [7]
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?

Mathematics
2 answers:
Eva8 [605]3 years ago
7 0
Pls. see attachment. 

svetoff [14.1K]3 years ago
7 0
1. transitive

2. transitive
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A pair of shoes cost $75. This is $35 less than the cost of a pair of jeans write and solve an equation,Using n for the variable
Vesnalui [34]

Answer:

n=75 pair of shoes

n-75=35 equation

n=35+75=110

cost of jeans=110

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3 years ago
The cost of breakfast cereal is Rs for 1 kg Calculate how much 25<br>breakfast cereal will cost.​
Irina-Kira [14]

Answer:

25 gram = 1000\35 rs

Step-by-step explanation:

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3 years ago
The ratio of Ed's toy cars to Pete's toy cars was initially 5:2. After Ed gave 30 toy cars to Pete, they each had an equal numbe
Slav-nsk [51]

Answer:

140 toy cars

Step-by-step explanation:

The ratio of Ed's toy car to Pete's toy car is initially given as 5:2

Ed gave Pete a total number of 30 cars

Let x represent the greatest common factor that exists between both number

Number of Ed's car is represented as 5x

Number of Pete car is represented as 2x

Since they each have an equal number of cars which is 30 then we can solve for x as follows

5x-30=2x+30

Collect the like terms

5x-2x= 30+30

3x= 60

Divide both sides by the coefficient of x which is 3

3x/3=60/3

x=20

Ed's car is 5x, we substitute 20 for x

5(20)

= 100 cars

Pete car is 2x,we substitute 20 for x

2(20)

= 40 cars

Therefore, the total number of cars can be calculated as follows

= 100+40

= 140 toy cars

Hence they have 140 toy cars altogether

5 0
3 years ago
Read 2 more answers
1. What concepts of functions can you associate with the pictures?​
Charra [1.4K]

Step-by-step explanation:

what concepts of functions can you associate with the picture

4 0
3 years ago
Scientists were studying a rare species of parrot. They went to a forest in the year
Brrunno [24]

Answer:

P(t) = 608(1.5)^{t}

Step-by-step explanation:

The number of parrots in t years after 2010 can be modeled by the following function:

P(t) = P(0)(1+r)^{t}

In which P(0) is the number of parrots in 2010 and r is the growth rate, as a decimal.

608 parrots in the forest in 2010.

This means that P(0) = 608

Then

P(t) = 608(1+r)^{t}

When the scientists went back  5 years later, they found 4617 parrots.

This means that P(5) = 4617

We use this to find 1 + r. So

P(t) = 608(1+r)^{t}

4617 = 608(1+r)^{5}

(1+r)^{5} = \frac{4617}{608}

1 + r = \sqrt[5]{\frac{4617}{608}}

1 + r = 1.5

So

P(t) = 608(1.5)^{t}

8 0
3 years ago
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