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Setler79 [48]
3 years ago
6

What is the image of g for a 240° counterclockwise rotation about the center of the regular hexagon

Mathematics
1 answer:
Alisiya [41]3 years ago
7 0
So for this one, 240 is Two Thirds of 360, which means in a shape with 6 points, it would move four points counterclockwise.
This would move G to the point H
C. H
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What is the length of BC? If your answer is not an integer, leave it in simplest radical form?
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ANSWER

|BC|=12\sqrt{2}\: ft

EXPLANATION

The given right triangle is an isosceles triangle because

m \: < \: B = 45 \degree = m \: < \: C
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|AB|=12ft=|AC|

From the Pythagoras Theorem,

|BC|^2=|AB|^2+|AC|^2

|BC|^2= {12}^{2} + {12}^{2}

|BC|^2=2 \times {12}^{2}

|BC| = \sqrt{ {12}^{2} \times 2 }

|BC|=12\sqrt{2}\: ft
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3 years ago
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Over [174]

9514 1404 393

Answer:

  the correct choices are shown

Step-by-step explanation:

<u>Statement</u> . . . . . <u>Reason</u>

1. c ║ d; ∠4 = ∠5 . . . . . Given

2. ∠4 = ∠7 . . . . . Alternate interior angles are equal

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jekas [21]

Answer:

You can find the point of intersection of the line with the y-axis and the  the point of intersection of the line with the x-axis. See the graph attached.

Step-by-step explanation:

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y-3=\frac{1}{3}(x+1)\\\\y-3=\frac{1}{3}(0+1)\\\\y-3=\frac{1}{3}(1)\\y=\frac{1}{3}+3\\\\y=\frac{10}{3}

y≈3.33

Find the intersection with the x-axis. Substitute y=0 into the equation and solve for x:

y-3=\frac{1}{3}(x+1)

0-3=\frac{1}{3}(x+1)\\(-3)(3)=x+1\\-9-1=x\\x=-10

Now, you know that the line passes through the point (0,3.33) and (-10,0). Now you can graph the function. (Observe the graph attached)

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