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Ray Of Light [21]
2 years ago
12

1. Rotate ABC 180° about the origin making DEF. List all congruent sides and angles:

Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
6 0

Answer:

<h3>              ∠ABC≅∠DEF </h3><h3>              ∠BCA≅∠EFD </h3><h3>              ∠CAB≅∠FDE </h3><h3>           AB≅DE,  BC≅EF,  CA≅FD</h3>

Step-by-step explanation:

To rotate point A 180° about the origin (point O) we draw a line from that point (A) throu the origin, measure the distance from the point A to the origin, and then measure the same distance on the other side of the origin to get rotated point. Mark it. The angle at the rotated point will be congruent to ∠A

The same goes for points B and C

Angles at pair of given and rotated point are congruent.

Sides of triangle are congruent if they lay between two congruent angles.

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Last answer choice is 5.0 WILL MARK BRAINLIEST PLEASE
Bezzdna [24]

Answer:

3.5 is the correct answer

6 0
2 years ago
ZB is 3x-5 BA is x+3
Akimi4 [234]
If B is the midpoint of ZA, then ZB = <span>BA
</span>3x-5 = <span>x+3
3x - x = 3 + 5
2x = 8
x = 8/2
x = 4

</span>ZA = ZB + BA
      =  3x-5 + x+3
      = 3*4 - 5 + 4 + 3
      = 12 - 5 + 7 
      = 14

Answer: <span>D. 14</span>
3 0
3 years ago
Is 12 a solution to the equation × - 8 = 20? Explain how you know.
jeyben [28]

We have the following:

x-8=20

solving for x

\begin{gathered} x=20+8 \\ x=28 \end{gathered}

The solution of x is equal to 28, therefore 12 is not a solution of the equation

5 0
1 year ago
What is the inverse of y = 2x
Nookie1986 [14]

Answer:

........the inverse is 2x = y

4 0
2 years ago
what is the probability of drawing two blue cards if the first card is not included in the second draw? simplify your answer com
BlackZzzverrR [31]

Answer:

5/14

Step-by-step explanation:

The total number of cards is 8

There are 5 blue cards

P(1st card is blue) = blue/total = 5/8

We take away a blue card

The total number of cards is 7

There are 4 blue cards

P(2nd card is blue) = blue/total = 4/7

The probability of blue blue is P(blue blue ) =

P(1st card is blue)*P(2nd card is blue) =

5/8* 4/7

20/56

We can divide the top and bottom by 4

5/14

3 0
3 years ago
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