Which statements are true? Select three options. ∠F corresponds to ∠F'. Segment EE' is parallel to segment FF'. The distance from point D' to the origin is One-third the distance of point D to the origin. The measure of ∠E' is One-third the measure of ∠E. △DEF △D'E'F'

Answers

Answer 1
Answer:

Answer:

The correct options are (1), (3) and (5).

Step-by-step explanation:

The two triangles are shown below.

The measure of ∠F corresponds to ∠F'.

The distance between the points D and origin is of 9 units.

And the distance between the points D' and origin is 3 units.

Thus, the distance from point D' to the origin is One-third the distance of point D to the origin.

Check for similarity:

(D'F')/(DF)=(D'E')/(DE)=(F'E')/(FE)=(1)/(3)

Thus, the △DEF is similar to △D'E'F'.

Thus, the correct options are (1), (3) and (5).

Answer 2
Answer:

Answer:

I think it's the first, third, and fifth options.

Step-by-step explanation:

I hope this helps.


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What equivalent ratios are less but equivalent to 40:20?

Answers

Answer:

8:4

Step-by-step explanation:

4:2 because it’s less than 40:20

0.00000000005 in scientific notation

Answers

It can be written as 5 x 10^ -11 or 0.5 x 10^ -10

Hope it helps.

The three perpendicular bisectors of a triangle intersect at the _______.Question 12 options:

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

Answers

Answer:

  a)  circumcenter

Step-by-step explanation:

You want to know the name of the point of intersection of the three perpendicular bisectors of the sides of a triangle.

Circumcircle

Each side of a triangle is a chord of the circumscribed circle. The perpendicular bisector of a chord is a line through the center of the circle. Hence the point of concurrency of the perpendicular bisectors of the sides of a triangle is the center of the circumscribed circle.

The name of the center of the circle circumscribing a triangle is "circumcenter."

__

Additional comment

When the triangle is a right triangle, the circumcenter is the midpoint of the hypotenuse, which is a diameter of the circle.

What are the integers of 171

Answers

Answer:

56, 57, and 58.

Step-by-step explanation:

If the first common multiple of two numbers is
6, find the fourth common multiple

Answers


24

6 x 4 = 24


And to check it is safe to assume the two numbers are 2 and 3

2 4 6 8 10 12 14 16 18 20 22 24

3 6 9 12 15 18 21 24


6 is the first common multiple, 12 is second, 18 third and 24 fourth.

A brainliest would be appreciated!!

Hope this helped!

Answer:

The first common number are 2 and 3

their comnon multiple is 6

So, the fourth number will be 24 because

multiple means we should multiply 4*6 it will be 24.

1/2(x-6.5) = 3.16 what is x?

Answers

Answer:

x =12.82

Step-by-step explanation:

1/2(x-6.5) = 3.16

Multiply each side by 2

1/2(x-6.5) *2 = 3.16 *2

(x-6.5) = 6.32

Add 6.5 to each side

(x-6.5+6.5) = 6.32+ 6.5

x =12.82

Answer: 12.82

Step-by-step explanation:

1/2(x-6.5)= 3.16

x=12.82