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BabaBlast [244]
3 years ago
8

In the figure below, segment AC is congruent to segment AB:

Mathematics
1 answer:
stepladder [879]3 years ago
7 0

Answer: A. "Segment AD bisects angle CAB." is the right answer.

Step-by-step explanation:

Given : In ΔABC ,AC≅AB.

⇒∠ACB=∠CBA....(1) (∵ angles opposite to equal sides of a triangle are equal )

Now in ΔACD and ΔABD

AD=AD (common)....(2)

Here we need one more statement to prove the triangles congruent that is only statement (A) fits in it.

If AD bisects ∠CAB then ∠CAD=∠BAD..(3)

Now again Now in ΔACD and ΔABD

∠ACB=∠CBA [from (1)]

AD=AD [common]

∠CAD=∠BAD [from (3)]

So by ASA congruency criteria ΔADC≅ΔABD.

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a rectangle has an area of 30 square meters and a perimeter of 34 meters. what are the dimensions of the triangle?
gayaneshka [121]
The dimensions for the rectangle are 15 by 2.

15 times 2 is 30, which is the area.

15+15+2+2= 34 which is the perimeter
5 0
3 years ago
In the Granger cases of the 1870s involving railroad regulation, Supreme Court decisions were significant because the decisions
Llana [10]
<span>In the Granger cases of the 1870s involving railroad regulation, Supreme Court decisions were significant because the decisions established that 

</span><span>2. government can regulate private business in the public interest 

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3 0
3 years ago
Can anyone please help me :)
Solnce55 [7]

Answer:

5 to the 15th power.

Step-by-step explanation:

PEMDAS requires us to do parenthesis, then exponents, and then division. Let's do 5³. 5x5x5 is equal to 125. Now, we find 125 to the ninth power. According to my calculations, 125 to the ninth power is equal to 7,450,580,596,923,828,125. Now, we find 5 to the twelfth power, which, according to my calculations, is 244,140,625. Now, we solve. According to my calculations, 7,450,580,596,923,828,125/244,140,625 is equal to 30,517,578,125. 30,517,578,125 is equivalent to 5 to the 15th power. That means that the second option is correct. I hope this helps!

3 0
3 years ago
Devin's DVD case has 3 rows of slots, but 5 slots are broken.If x equals the number of slots in a row explain how the expression
Paul [167]

Answer:

The total number of unbroken / working slots

Step-by-step explanation:

Given that Devin's DVD case has 3 rows of slots, but 5 slots are broken

Also given that the number of slots in a row is x

1 row has x slots

3 rows has y slots

on cross multiplication we get y = 3x

ie there are a total of 3x slots in the 3 rows

Given that out of these 3x slots 5 . of the slots are broken

Therefore the total number of working slots = total number of slots - number of slots which are broken

total number of working slots are = 3x - 5

Therefore the given expression is the number of working / good slots

6 0
3 years ago
Five members of the soccer team and five members of the track team ran the 100-meter dash. Their times are listed in the table b
Sonbull [250]
Soccer : (12.3 + 13.2 + 12.5 + 11.3 + 14.4) / 5 = 63.7 / 5 = 12.74
track : (12.3 + 11.2 + 11.7 + 12.2 + 13.7) / 5 = 61.1 / 5 = 12.22

difference is : 12.74 - 12.22 = 0.52 <=
3 0
3 years ago
Read 2 more answers
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