Ted is constructing an equilateral triangle. He draws a segment with his straightedge and labels the endpoints A and B. He then puts the compass point on A, opens the compass until the pencil point is on B, and draws a circle.Which move is a correct next step for Ted?


Keep the same compass opening, place the compass point on B, and draw a circle.

Shorten the compass opening, place the compass point on B, and draw two arcs that intersect the circle.

Keep the same compass opening, place the compass at the midpoint of the segment, and draw a circle.

Widen the compass opening, place the compass point on B, and draw a circle.

Answers

Answer 1
Answer:

Final answer:

To construct an equilateral triangle, Ted should maintain the same compass opening and draw another circle from point B. The intersection point of these two circles will form the third point of the equilateral triangle.

Explanation:

To construct an equilateral triangle, the correct next step for Ted, after drawing a circle with compass point on A and reaching B, would be to keep the same compass opening, place the compass point now on point B, and draw another circle. Where this second circle intersects with the first one, that will be the third point of the equilateral triangle.

This is because in an equilateral triangle, all the sides are of the same length. So, keeping the compass opening the same ensures that the distance from A to B is equal to the distance from B to the new point, and hence you get an equilateral triangle.

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Answer 2
Answer:

Answer:

Step-by-step explanation:

Keep the same compass opening, place the compass point on B, and draw a circle.


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81 is 54% of what number
Convert 70% to a number when the whole is 150
Which of the following ratios are equivalent to 6:8?36/40 9:12 12 to 16 15/20 24:36 16 to 24
Which expression is a difference of cubes? X^6-6X^6-8x^8-6 X^8-8

Someone please help!

Answers

Hello!

Answer:

\Large \boxed{\sf CD= 18}

Step-by-step explanation:

→ We want to calculate CD.

We know that CD = DE.

→ So we have this equation:

\sf 3x-6 = 2(x+1)

→ Let's solve this equation to find the value of x to find CD:

Simplify the right side:

\sf 3x-6 = 2x+2

Add 6 to both sides:

\sf 3x-6+6 = 2x+2+6

Simplify both sides:

\sf 3x = 2x+8

Subtract 2x from both sides:

\sf 3x-2x = 2x+8-2x

Simplify both sides:

\sf x = 8

→ Now, let's calculate CD, let's replace x by 8:

\sf CD = 3x-6\n\n= 3 * 8 - 6\n\n= 24 - 6\n\n\boxed{\sf= 18}

Check:

\sf CD = DE\n\n3x-6 = 2(x+1)\n\n3 * 8 - 6 = 2(8+1)\n\n24 - 6 = 2 * 9\n\n18=18

So the check is good.

Conclusion:

CD is equal to 18.

holly earns 30 babysitting 5hours she earns 28 dollars when she does chores 4 hours witch compares the unit rates ​

Answers

Answer:

c

Step-by-step explanation:

Final answer:

Holly earns $6 per hour for babysitting and $7 per hour for chores, meaning she earns more per hour when doing chores.

Explanation:

The question is about comparing the unit rates between Holly's babysitting job and her chore earnings. Unit rate refers to the amount of money earned per hour. Here's how we calculate it:

  • For babysitting, Holly earns $30 for 5 hours. So, the unit rate for babysitting would be $30/5 = $6 per hour.
  • For chores, Holly earns $28 for 4 hours. So, the unit rate for chores would be $28/4 = $7 per hour.

So, Holly earns more per hour when she is doing chores compared to when she's babysitting.

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If a vector A⃗ has the following components, use trigonometry to find its magnitude and the counterclockwise angle it makes with the +x axis: Ax = 9.00lb , Ay = 5.00lb

Answers

The vector magnitude is 10.29lb and the vector direction is 150.9⁰.

Vector:

As per the given question:

Ay = 5.00 \ lb\n\nAx = 9.00 \ lb\n\n

To find:

magnitude and direction=?

Solution:

Vector representation of the given value:

\to (9i + 5j)

Calculating the vector magnitude:

\to √((9)^2 +(5)^2)\n\n \to √(81+25)\n\n \to √(106) \n\n\to 10.29 \ lb

Calculating the vector direction:

When 90 < \theta < 180

Let's solve the value for \theta\n\n

\tan \theta = (y)/(x)\n\n\tan \theta = (5)/(9)\n\n\tan \theta =0.555\n\n\theta = \tan^(-1)(0.555555556) \n\n\theta= 29.1^(\circ)\n\n

\sin \theta lies in the second quadrant,

\to \theta  = 29.1^(\circ) = 180 -29.1 = 150.9^(\circ)\n\n

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A sixth-grade class is painting a mural. To make a darker shade of orange, they use a ratio of 5 ounces of red paint to 3ounces of yellow paint. Use this ratio to consider the amount of yellow paint needed for each amount of red paint listed in the table.
Point Red Paint, x
(ounces) Yellow Paint, y
(ounces)
A
5

B
15

C
20


Determine ordered pairs for points A
, B, and C

, and graph the relationship of the amount of red paint to the amount of yellow paint on the coordinate plane.

Click on the grid to plot the three points.

Answers

Answer:

I think its B

Step-by-step explanation:

The slope is 3, and it passes through ( -4, -7).a. y = 6x + 5
c. y = 3x - 7
b. y = 3x + 5
d. y = 3x - 19
The slope is -7, and it passes through ( 5, -3).
a. y = -7x - 3
c. y = -14x + 32
b. y = -7x + 32
d. y = -7x - 38

Answers

The equation of the lines are b. y = 3x + 5 and b. y = -7x + 32.

What is the Equation of line in Slope Intercept form?

Equation of a line in slope intercept form is y = mx + b, where m is the slope of the line and b is the y intercept, which is the y coordinate of the point where it touches the Y axis.

Given that,

Slope = 3

And the line passes through (-4, -7).

Substituting in the slope intercept form,

-7 = (3 × -4) + c

-7 = -12 + c

c = -7 + 12

c = 5

Equation of the line is y = 3x + 5

Given slope = -7.

Line passes through (5, -3)

Substituting in the slope intercept form,

-3 = (-7 × 5) + c

-3 = -35 + c

c = -3 + 35

c = 32

Equation of the line is y = -7x + 32

Hence the equations are y = 3x + 5 and y = -7x + 32.

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Answer:B

Step-by-step explanation:

(PLS HELP!!!!!!) Answer for a then b

Answers

Answer: Hey! Don't worry!! I gotchu'. :D

A. To find 1/5 of 15, we can multiply 15 by 1/5, which is the same as dividing 15 by 5. So, 1/5 of 15 is equal to 15 ÷ 5 = 3.

B. To find 4/5 of 35, we can multiply 35 by 4/5, which is the same as multiplying 35 by 4 and then dividing the result by 5. So, 4/5 of 35 is equal to (35 × 4) ÷ 5 = 28.