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77julia77 [94]
2 years ago
13

Triangle A'B'C' is a dilation of triangle ABC.

Mathematics
1 answer:
irga5000 [103]2 years ago
5 0

Answer:

Scale Factor : 2
2 times

Step-by-step explanation:

18/ 9 = 2
9/ 4.5 = 2
9/ 4.5 = 2

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Write an indirect proof showing that the diagonals of a parallelogram intersect each other
____ [38]
Its an indirect proof, so 3 steps :-
1) you start with the opposite of wat u need to prove 
2) arrive at a contradiction
3) concludeReport · 29/6/2015261
since you wanto prove 'diagonals of a parallelogram bisect each other', you start wid the opposite of above statement, like below :- step1 : Since we want to prove 'diagonals of a parallelogram bisect each other', lets start by assuming the opposite, that the diagonals of parallelogram dont bisect each other.Report · 29/6/2015261


Since, we assumed that the diagonals dont bisect each other, 
OC≠OA 
OD≠OBReport · 29/6/2015261
Since, OC≠OA, △OAD is not congruent to △OCBReport · 29/6/2015261

∠AOD≅∠BOC as they are vertical angles, 
∠OAD≅∠OCB they are alternate interior angles 
AD≅BC, by definition of parallelogram 
so, by AAS, △OAD is congruent to △OCBReport · 29/6/2015261
But, thats a contradiction as we have previously established that those triangles are congruentReport · 29/6/2015261
step3 :
since we arrived at a contradiction, our assumption is wrong. so, the opposite of our assumption must be correct. so diagonals of parallelogram bisect each other.
4 0
3 years ago
Solve x
d1i1m1o1n [39]

Step-by-step explanation:

x^{2} - 4x - 7 = 0

First, let's move the 7 to the right-hand side so we can determine what constant we'll need on the left-hand side to complete the square:

x^{2} - 4x = 7

From here, since the coefficient of the x term is -4, we know the square will be (x - 2) (since -2 it's half of -4).

To complete this square, we will need to add (-2)^{2} to both sides of the equation:

x^{2} - 4x + (-2)^2 = 7 + ^{-2}

x^{2} - 4x + 4 = 7 + 4

(x - 2)^{2} = 11

Now we can take the square root of both sides to figure out the solutions to x:

x - 2 = \pm \sqrt{11}

x = 2 \pm \sqrt{11}

7 0
3 years ago
Which expression has the same value as the one below? <br> 29+(-37)
Dmitry [639]

Answer:

B

Step-by-step explanation:

29 + (-37) = 29 -37

Leave a like and mark brainliest if this helped

8 0
3 years ago
Read 2 more answers
Which inequality represents all values of x for which the product below is<br> defined?<br> 20 pts
timama [110]

Step-by-step explanation:

√a is defined only when a >= 0.

Therefore for √4x * √(x + 2) to be defined, both 4x and x + 2 must be non-negative.

When 4x >= 0, x >= 0.

When x + 2 >= 0, x >= -2.

x >= 0 and x >= -2, therefore we have x >= 0. (D)

6 0
3 years ago
If the ratio of red hair bands to green hair bands is 5 to 9 with a total of 70 hair bands, how many of them are greeen?
dsp73

ANSWER

45 green bands

EXPLANATION

The ratio of red hair bands to green hair bands is

5 : 9

The total ratio is:

9 + 5 = 14

If there are a total of 70 hair bands,

Then the number of green bands

=  \frac{9}{14}  \times 70

Simplify

= 9 \times 5

Multiply

= 45

Therefore, there are 45 green bands.

3 0
3 years ago
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