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2 years ago

Please someone answer this.

Mathematics

1 answer:

klio [65]2 years ago

7 0

The triangle ABC may be rotated along a fixed point, translated to a different position and reflected across a mirror line.

<h3>Types of transformation</h3>

The three types of transformation are;

Rotation
Reflection
Translation

Rotation of shapes entails moving them around a fixed point. The shape remains the same, but its position in the space changes.

Translating a shape means moving it entirely to a different position, without changing it in any way.

Reflecting a shape is to flip it across a mirror line. Each point in the shape is moved to the other side of the mirror line but has same distance away from the line. The reflected image faces the opposite direction to the original object.

Thus, the triangle ABC may be rotated along a fixed point, translated to a different position and reflected across a mirror line.

Learn more about transformation here:

brainly.com/question/4289712

#SPJ1

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The sum of the interior angles of a polygon with n sides is 1980°. Find n.

natka813 [3]

Answer:

n = 13

Step-by-step explanation:

The sum of the measures of the interior angles of an n-sided polygon is

(n - 2)180

Set (n - 2)180 equal to 1980 and solve for n.

(n - 2)180 = 1980

Divide both sides by 180.

n - 2 = 11

Add 2 to both sides.

n = 13

3 0

2 years ago

Read 2 more answers

—— ——

blsea [12.9K]

Given: NQ = NT , QS Bisect NT(∴ NS=ST ) , TV Bisects QN (∴ NV=VQ )

To Prove: QS=TV

Proof: In ΔNQT

NQ=NT

$\frac{1}{2}NQ=\frac{1}{2}NT$

∴ VQ=ST

In a isosceles triangle, If two sides are equal then their opposites angles are equal.

∴ ∠NQT=∠NTQ ( ∵ NQ=NT)

In ΔQST and TVQ

ST=VQ (sides of isosceles triangle)

∠NQT=∠NTQ (Prove above)

QT=TQ (Common)

So, ΔQST ≅ TVQ by SAS congruence property

∴ QS=TV (CPCT)

CPCT: Congruent part of congruence triangles.

Hence Proved

5 0

2 years ago

Mr. Jones wants to add a cement path around his new pool. The pool has a radius of 7 feet. The cement path will be 1 foot wide a

Aleonysh [2.5K]

The square footage of the path is 47.1 ft²

The area of a circle is:

A = πr²

Where r is the radius of the circle.

Let us assume that the pool is a circle.

Given that the pool has a radius (r₁) of 7 feet and a path 1 foot wide would go round the pool.

Radius of pool and cement path (r₂) = 7 ft + 1 ft = 8 ft.

The square footage of the path = πr₂² - πr₁² = π*8² - π * 7² = 47.1 ft²

Hence The square footage of the path is 47.1 ft²

Find out more at: brainly.com/question/23328170

7 0

2 years ago

A professor wants draw a sample of 50 students to fill out a questionnaire about which sports they play. The professor’s 10:00 a

Vikentia [17]

Step-by-step explanation:

I would suggest that this is cluster sampling.

The teacher is selecting a cluster of the population at random to sample.

This is a method of probabalistic sampling.

8 0

2 years ago

Desenhe em uma folha dois quadrados de lado 1dm. Trace uma diagonal em cada um e recorte-os

Kobotan [32]

Answer:

The given question is

<em> Draw two 1 dm squares on a sheet of paper. Draw a diagonal on each one and cut them out.</em>

<em />

So, you need to draw square with sides of 1 dm. However, first, you need to transform from dm to cm.

We know that 1 decimenter (dm) equals 10 centimeters (cm).

That means the square sides are 10 centimerers long. So, you need to draw two squares like the first image attached shows.

Then, to draw their diagonals, you need to draw a line segment from one corner to its opposite corner, you should have an inclined line acroos each square. As the second image attached shows.

There you have it. Two squares of 1 dm side with on diagonal each.

6 0

2 years ago