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olga nikolaevna [1]
2 years ago
6

Triangle A'B'C' is the image of triangle ABC under a rotation about point Q.​

Mathematics
1 answer:
yan [13]2 years ago
3 0

9514 1404 393

Answer:

  True; about 120° CCW rotation about Q

Step-by-step explanation:

Triangle A'B'C' appears to be congruent to triangle ABC and about the same distance from point Q. The angle of rotation from ABC to A'B'C' appears to be about 120° counterclockwise when measured using a geometry program.

Triangle A'B'C' is the image of triangle ABC under rotation about 120° CCW about point Q.

_____

<em>Additional comment</em>

If choices of rotation angle are ±135° or ±165°, the best choice would be ...

  135°

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Caiden and Josh are practicing at a batting cage. Josh has hit nine more than one-half the number of balls that Caiden has. If t
OverLord2011 [107]

Answer:

The Answer is: Josh hit 47 balls.

Step-by-step explanation:

Let j = Josh number of hits and c = Caiden number of hits:

j = c/2 + 9

Total:

j + c = 123.

Substitute:

(c/2 + 9) + c = 123

c/2 + c = 123 - 9

c/2 + c = 114

1/2c + 2/2c = 114

3/2c = 144

c = 144 (2/3) = 76, Number of hits for Caiden

Solve for j:

j = 76/2 + 9

j = 38 + 9 = 47, number of hits for Josh

Proof:

j + c = 123

47 + 76 = 123

123 = 123

Hope this helps! Have an Awesome Day!! :-)

6 0
3 years ago
Heather, Eric, and Chang sent a total of 116 text messages over their cell phones during the weekend. Chang sent 3 times as many
notka56 [123]

Answer:

Step-by-step explanation:

Declaration

Let Heather's number of messages = x

Let Eric's number of messages = x + 9

Let Chang's number of messages = 3(x +9)

Equation

x + x + 9 + 3(x + 9) = 116    

Solution

x + x + 9 + 3(x + 9) = 116                             Remove the brackets

x + x + 9 + 3x + 27 = 116                             Combine like terms

x + x + 3x + 9 + 27 = 116

5x + 36 = 116                                               Subtract 36 from both sides

5x + 36 - 36 = 116 - 36                                Combine

5x = 80                                                       Divide both sides by 5

5x/5 = 80/5

x = 16

Answer

Heather = 16

Eric = 16 + 9 = 25

Chang = 3*25 = 75

5 0
2 years ago
How many times larger is the value of 150,000 than 150?
stiks02 [169]
1,000 times larger! You're welcome :) All you do it divide the two. Hope this helped!
4 0
3 years ago
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Solve the inequality for w
kobusy [5.1K]

Answer:

w ≥ 23

Step-by-step explanation:

Add 3 to both sides of this inequality, obtaining:

w ≥ 23.  In other words, w must be 23 or larger.  Symbolically:  [23, infinity)

3 0
3 years ago
18 is what percentage of 25
pentagon [3]

Answer:

Step-by-step explanation:

72%

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