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3 years ago

How does a sequence of translations, reflections, and rotations result in congruent figures?

Mathematics

1 answer:

yaroslaw [1]3 years ago

5 0

Answer:

Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent.

Step-by-step explanation:

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Neighbor Fred built a retaining wall that was 2 feet outside his property line. What has Fred created?

yulyashka [42]

Answer:

An encroachment.

Step-by-step explanation:

In real estate,encroachment is building a structure between the boundaries of your property or land and your neighbor's property or land.

The retaining wall Fred build that was 2ft outside his property line is called encroachment

4 0

3 years ago

Find the volume of a pyramid with a square base, where the perimeter of the base is 13.4 in and the height of the pyramid is 7.6

VashaNatasha [74]

Answer:

28.4in³

Step-by-step explanation:

Volume of the square based pyramid = L²H/3 where;

L is the length of a side of the square base

H is the height of the prism

Given

Perimeter of the base = 13.4 in

Height of the pyramid = 7.6in

First we need to get the length of the square base

Perimeter of a square = 4L

13.4 = 4L

L = 13.4/4

L = 3.35 in

Next is to find the required volume of the pyramid

V = L²H/3

V = 3.35²(7.6)/3

V = 85.291/3

V = 28.4 in³

Hence the volume of the pyramid to nearest tenth is 28.4in³

7 0

3 years ago

Find the solution to this inequality ppllleeeaaaasssseeeee<br> 18<-3(4x-2)

Vlad1618 [11]

Answer

x $\leq$ -1

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Maria averaged 212 miles on the first 3 days of her trip.She averaged only 104 miles on the other six days of her trip what was

Artist 52 [7]

Answer:

1260

Step-by-step explanation:

212x3=636

104x6=624

636+624=1260

5 0

2 years ago

Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.

AlekseyPX

Answer:

$\frac{5\sqrt{2} }{2}$

Step-by-step explanation:

$x: \text{opposite side of the angle of 45\º}$

$5: \text{hypotenuse of the right triangle}$

$\sin(\theta)=\frac{\text{opp}}{\text{hyp}} \Rightarrow \sin(45\º)=\frac{x}{5}$

$\text{Once }\sin(45\º)=\frac{\sqrt{2} }{2}$

$\frac{\sqrt{2} }{2} =\frac{x}{5} \Rightarrow 2x=5\sqrt{2} \Rightarrow x=\frac{5\sqrt{2} }{2}$

You can just remember that 5 is the diagonal of a square of side length x.

$5=x\sqrt{2} \Rightarrow x=\frac{5}{\sqrt{2} } \Rightarrow x=\frac{5}{\sqrt{2} } \cdot \frac{\sqrt{2} }{\sqrt{2} } = \frac{5\sqrt{2} }{2}$

5 0

3 years ago