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3 years ago

Hello please help. I am confused I think.

Mathematics

1 answer:

8090 [49]3 years ago

3 0

Answer:

2 lines

Step-by-step explanation:

You're close. The only one missing is the intersection of 3 planes can be 2 lines if 2 of the planes are parallel.

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A triangle is dilated by a scale factor of 1/5 and then rotated 90 degree clockwise about the origin. Why is the image similar t

yan [13]

Answers:
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle

Explanation:
For shapes to be similar:
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides

2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles

3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

3 0

3 years ago

Read 2 more answers

Pleaseeeee helpppppp!!

Sergio [31]

Answer: The equation of the circle as specified is (x+5)² + (y -1)² = 25

Step-by-step explanation: Use the Pythagorean Theorem to calculate the length of the radius from the coordinates given for the triangle location: A(-1,4), B(-1,1) and C(-5,1)

subtract y-values of A & B 4-1=3 AB = 3

subtract x-values of B &C -5-(-1) =4 BC=4 3² + 4² = 9 + 16 = 25

√25 = 5 AC = 5 That is the radiuus of the circle.

The sides of the triangle are AB=3, BC=4, AC=5.

Use the equation for a circle:

( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.

Use the coordinates of C, (-5, 1) as h and k in the equation

Substituting those values, we have (x -[-5])² + (y -[1])² = 5²

Simplify: (x+5)² + (y -1)² = 25

A graph of the circle is attached. The radius is AC, between the center C (-5,1) and A( -1,4) on the circumference. (Sorry, I still need to learn how to create line segments!)

8 0

3 years ago

Solving Multi-Step 1. List the steps in order) require 3(z + 5) = 12 I a)

Dmitrij [34]

Answer:

z = -1

Step-by-step explanation:

3(z + 5) = 12

Step 1: Divide both sides by 3.

z + 5 = 4

Step 2: Subtract 5 from both sides.

z = -1

7 0

3 years ago

Read 2 more answers

Which product has 4 zeros after the digit 3? 0.03 times 10 with the power of 5. 0.3 times 10 with the power of 4 0.03 times 10 w

sweet [91]

Answer:

$0.3 * 10^5$

Step-by-step explanation:

0.3

^ You need to move the three before the decimal place and leave 4 empty digits (0) between

0.3

3.0

30.0

300.0

3000.0

30000.0

A total of 5 moves.

Each move is equivalent to x, the preceding value, times 10. x * 10

Repeated multiplication times the same factor equates to exponentiation, so for a total of 5 moves, it is notated as $10^5$ , giving you an expression of:

$0.3 * 10^5$

7 0

3 years ago

Which of the following are trinomials?

Tema [17]

Answer:

A. & E. is the answer for Apex

because they have 3 terms, the others are 1 or 2 term(s)..

8 0

3 years ago

Read 2 more answers

Hello please help. I am confused I think.​

Hello please help. I am confused I think.