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Licemer1 [7]
3 years ago
12

The figure below shows rectangle ABCD with diagonals segment AC and segment DB: A rectangle ABCD is shown with diagonals AC and

BD. Anastasia wrote the following proof to show that the diagonals of rectangle ABCD are congruent: Anastasia's proof: Statement 1: Rectangle ABCD is given Statement 2: segment AB ≅ segment DC because opposite sides of a rectangle are congruent Statement 3: segment AD ≅ segment AD by the reflexive property of congruence Statement 4: Statement 5: Angles BAD and ADC are congruent because all right angles are congruent Statement 6: Triangles BAD and CDA are congruent by SAS Statement 7: segment AC ≅ segment DB by CPCTC Which statement below completes Anastasia's proof? Angles BAD and ADC are 90 degrees (perpendicular lines create 90 degree angles) Angles BAD and ABC are 90 degrees (perpendicular lines create 90 degree angles) Angles BAD and ADC are both right angles (definition of a rectangle) Angles BAD and ABC are both right angles (definition of a rectangle)

Mathematics
2 answers:
OLga [1]3 years ago
7 0

Answer:

The answer is Angles BAD and ADC are both right angles (definition of a rectangle) because Anastasia never said that they were right angles; she just said that they were congruent.

Alex73 [517]3 years ago
5 0

Answer:

Angles BAD and ADC are both right angles (definition of a rectangle)

Step-by-step explanation: I just took the test :) <3

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BigorU [14]

Answer:

66 degrees.

Step-by-step explanation:

angle 4 is 124, and angle 1 and 4 make 180 degrees. that means angle 1 is 56 degrees (180-124). and the total angle in a triangle is also 180 degrees.

Add 56 and 58, you'd get 114.

180-114=66

angle 2=66 degrees.

5 0
3 years ago
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Simplify <br> (0.5)2+3.5divided by 5
patriot [66]

Answer:

2.7

Step-by-step explanation:

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3 years ago
Why is ti that when you add two numbers together (5+5,6+6,3+3, etc.) you get an even sum?? I need this for my 8 year-old-brother
astra-53 [7]

Essentially, the rule goes as so: odd + odd = even, even + even = even.

Although that may not be the answer you're looking for, it is a math rule that is never debunked and essentially the premises for why you get an even sum practically always depending on the numbers.

Hope this helps!

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3 years ago
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Three friends all live on the same street that runs west to east. Ben lives 8 blocks from ann. Carol lives 2 blocks from ben. If
Romashka-Z-Leto [24]

Answer:

i. 10 units (Carol's house is 10 units on the right from Ann's house)

ii. -10 units (Carol's house is 10 units on the left to Ann's house)

Step-by-step explanation:

A number line is a system that can be used to express the location of directed number on a straight line. It has an origin which is taken to be zero (0).

In the given question, Ann's house is located at 0 of the number line. Let 1 block be represented by 1 unit on the number line.

Thus, Ben lives 8 blocks from Ann implies that Ben's house is at 8 units from Ann's house.

Given that Carol's house is 2 blocks from Ben implies that Carol's house is 2 units from Ben.

So that,

The possible locations of Carol's house depends on its position with respect to Ann's house.

i. Carol's house = 8 + 2

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This implies that Carol's house is 10 units on the right from Ann's house.

ii. Carol's house = - 8 - 2

                           = -10 units

This implies that Carol's house is 10 units on the left to Ann's house.

6 0
3 years ago
Find the measure of an angle whose supplement is 6 more than 4 times the complement
zepelin [54]

<em>Complement</em> = 90-x

<em>Supplement</em>=180-x

180-x=4(90-x)+6

180-x=360-4x+6

3x=360-180+6

3x=186

x=186/3

x=62

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3 years ago
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