"how many seeds are there in a watermelon?" "how much does a telephone weigh?"

Mathematics

1 answer:

Luba_88 [7]3 years ago

5 0

There are 150+ seeds in a watermelon and I don’t know the second question

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Question: Consider the similarity transformation of ΔABC to produce ΔEDF.

german

Answer:

see the explanation

Step-by-step explanation:

we have triangle ΔABC

step 1

Rotate 90 degrees clockwise ΔABC about point C to obtain ΔA'B'C'

Remember that

A rotation is a rigid transformation

An object and its rotation are the same shape and size, but the figures may be turned in different directions

ΔABC and ΔA'B'C' are congruent

ΔABC≅ ΔA'B'C

step 2

Dilate the triangle ΔA'B'C' to obtain triangle ΔEDF

Remember that

A dilation is a non rigid transformation

A dilation produces similar figures

If two figures are similar, then the ratio of its corresponding angles is proportional and its corresponding angles are congruent

Find the scale factor of the dilation

The scale factor is equal to the ratio of corresponding sides

In this problem

Let

z ----> the scale factor

$z=\frac{ED}{AB}=\frac{DF}{BC}=\frac{EF}{AC}$

Multiply the length sides of triangle ΔA'B'C' by the scale factor z to obtain the length sides of triangle ΔEDF

Note: in this problem the scale factor z is less than 1

That means ----> the dilation is a reduction

3 0

4 years ago

SOMEONE HELP WHAT IS THE ANSWER TO THESE QUESTIONS PLEASE HELP

romanna [79]

10.
Answer: 42° and 138°
Steps: First find value of x by adding both equations and setting them equal to 180°:
3x + 12x - 30 = 180
15x - 30 = 180
15x = 210
x = 14

Next, put value of x into equations to find the angle:
3x
3(14)
42°

12x - 30
12(14) - 30
168 - 30
138°

11. Answer: 28°
Steps: Complementary angles add up to 90°, so subtract 62° from 90° to find its complementary angle.
90 - 62 = 28

12. Answer: Corresponding angles are congruent.

7 0

3 years ago

Evaluate the expression P(9,3), equivalently 9P3<br> Your answer is:<br> Preview

Marina CMI [18]

Answer:

504

Step-by-step explanation:

Using the definition

n $P_{r}$ = $\frac{n!}{(n-r)!}$