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zlopas [31]
3 years ago
11

Which statement explains why ABC is congruent to A A'B'C' ?

Mathematics
1 answer:
Firdavs [7]3 years ago
6 0

Answer:

The two given triangles ABC and A'B'C' are congruent by SSS or AA axiom of congruence.

Step-by-step explanation:

Rigid Transformation is a transformation which PRESERVES (keeps it SAME) the LENGTH and the ANGLES in an image and pre- image.

Here, as we can ΔABC goes under Rigid Transformation in to the ΔA'B'C'

⇒Sides AB, BC and AC correspond to the sides A'B',B'C' and A'C' respectively.

Also the ∠A, ∠B and∠C correspond to  ∠A', ∠B' and∠C' respectively.

Now, in  ΔABC and ΔA'B'C

AB  = A'B'

BC  =   B' C'

AC  = A'C'

⇒The two given triangles are congruent by SIDE SIDE SIDE property.

Also, ∠A  = ∠A'

∠B  =   ∠B'

⇒The two given triangles are congruent by ANGLE ANGLE property.

Hence the two given triangles ABC and A'B'C' are congruent by SSS or AA axiom of congruence.

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Chandra has $36.25 in dimes and quarters If she has 250 coins in total, hwo many
vladimir2022 [97]

Answer:

175 dimes and 75 quarters

Step-by-step explanation:

Make a system of equations, where d is the number of dimes and q is the number of quarters:

d + q = 250

0.1d + 0.25q = 36.25

Solve by elimination by multiplying the top equation by -0.1:

-0.1d - 0.1q = -25

0.1d + 0.25q = 36.25

0.15q = 11.25

q = 75

Then, plug in 75 as q into one of the equations to solve for d:

d + q = 250

d + 75 = 250

d = 175

So, there are 175 dimes and 75 quarters

7 0
3 years ago
Read 2 more answers
Multiply (6 − 7i)(3 − 6i).
Leviafan [203]

Answer:

-24 - 57i

Step-by-step explanation:

i'm assuming that this is a question about imaginary numbers and that i²= -1

we can expand the binomial by using the FOIL method (see attached)

(6 − 7i)(3 − 6i)

= (6)(3) + (6)(-6i) + (-7i)(3) + (-7i)(-6i)

=18 - 36i - 21i + 42i²   (recall that i²= -1)

= 18 - 57i + 42(-1)

= 18 - 57i - 42

= -24 - 57i

5 0
3 years ago
Given that m∠abc=70° and m∠bcd=110°. Is it possible (consider all cases): Line AB intersects line CD?
lyudmila [28]

Given that m∠abc=70° and m∠bcd=110°. Is it possible (consider all cases): Line AB intersects line CD? Yes, and the answer will be 180° so yeaaa, the statement is possible to intersect to AB and to the line CD.

Step-by-step explanation:

#CarryOnLearning

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Natasha2012 [34]

Answer:

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Step-by-step explanation:

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What’s the answer?!?
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The area of the triangle is 50in2, so she can create only 2 triangles.
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