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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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Assuming the speed is in miles per hour, simply divide the total distance by time.
515.97/6.5
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If h(x) = 6 - X, what is the value of (hxh)(10)?
ludmilkaskok [199]

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2 years ago
Write a sentence about anything you want using the ratio 4: 2. (Hint Start with the words "For every")
Nina [5.8K]

Answer:

For every four cookies, there are two glasses of milk.

OR

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Step-by-step explanation:

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7 0
3 years ago
What are the factors of the equation 24x^2=9-30x?
Dennis_Churaev [7]

Answer:

3(4x - 1)(2x + 3)

Step-by-step explanation:

Rearrange the equation into standard form

Subtract 9 - 30x from both sides

24x² + 30x - 9 = 0 ← in standard form

Take out 3 as a common factor

3(8x² + 10x - 3) = 0 ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term

product = 8 × - 3 = - 24, sum = 10

The factors are - 2 and + 12

Use these factors to replace the x- term, that is

8x² - 2x + 12x - 3 ( factor the first/second and third/fourth terms )

2x(4x - 1) + 3(4x - 1) ← take out the common factor (4x - 1)

(4x - 1)(2x + 3)

24x² + 30x - 9 = 3(4x - 1)(2x + 3) ← in factored form

7 0
3 years ago
Pls help me i will mark brainliest if you are right !
tekilochka [14]

Answer:

second option

Step-by-step explanation:

diameter= 22 cm

radius = diameter/2

=22/2

11 cm

volume of a sphere = \frac{4}{3}*pie* r^3

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=4.186666 * 1331

=5572 . 5 cubic centimeters (cm^3)

5 0
3 years ago
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