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svet-max [94.6K]
3 years ago
6

Given: DC||AB DC = AB

Mathematics
2 answers:
Serga [27]3 years ago
8 0

Answer:

SAS

Step-by-step explanation:

Given,

DC || AB,

DC = AB

We have to prove that : triangles shown in the diagram are congruent.

Proof :

Since, in triangles ADC and ABC,

AC ≅ AC ( common segments ),

DC || AB

⇒ ∠DAC ≅ ∠ ACB  ( By alternate interior angle theorem )

DC = AB  ( given )

Hence, By SAS ( side - angle - side ) postulate of congruence,

Δ ADC ≅ Δ CAB,

Second option is correct.

liq [111]3 years ago
3 0
The answer is SSS, because have angles in both sides include side D and B
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it takes 63 minutes for four people to paint nine walls how many minutes does it take seven people to paint four walls?
joja [24]

Answer:

16 minutes

Step-by-step explanation:

If it takes 63 minutes to paint 9 walls then it means for every wall, it takes 63/9=7 minutes

Since it is 4 people working for 7 mins, the individual rate is 4/7 minutes per person

When we have 7 people, then the number minutes they take will be 7*4/7=4 minutes per wall

4 min per wall for 4 walls then total time will be 4*4=16 minutes

3 0
3 years ago
If Leo is 6 years old and Max is 12 years older, in how many years wil Max be 3 times older than Leo?
Sergio039 [100]

Answer:

in 36 years

Step-by-step explanation:

in 36 years, Max will be 54 YEARS OLD and Leo will be 18 YEARS OLD.

54÷18= 3

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it can also be when Leo is 6 and Max is 18 because:

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7 0
3 years ago
I Need help with question 21 and 22 !
USPshnik [31]
11) First, add 74 and 43.

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180-117=63

Angle 1 = 63 degrees

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Angle 2= 63 degrees

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12)

First, subtract 56 from 180. Do this to find angle C. They are supplementary angles, so they will equal 180 degrees.

180-56=124

Angle C=124 degrees

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Finally, subtract 144 from 180

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The measure of angle A is 36 degrees

Hope this helped! :)


7 0
3 years ago
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4 years ago
The perimeter of a square is 109.8 square inches. what is the length of one square? A 2.74 in B 10.98 in C 25 in D 27.45 in
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Answer:

The perimeter of a square is 109.8 square inches. what is the length of one square? A 2.74 in B 10.98 in C 25 in D 27.45 in

Step-by-step explanation:

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