Explain this diagram.

Mathematics

1 answer:

spayn [35]2 years ago

6 0

The shape that we have here is sued to show the infinite geometric progression.

<h3>What is geometric progression?</h3>

This is the sequence of numbers that has all the other values in the sequence gotten by the multiplication of a certain factor

In this question or the shape we can see that the triangle is made up of smaller other triangles embedded in it.

The area of the traingle that is in the red color is seen to have been made up of 1/3 of the total triangles that we have in the shape. This can be seen to be similar as the triangles that are represented by the green and the blue color.

Putting a lot of triangles inside one big triangle gives up a pictorial diagram on how to add infinite amount of things up.

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Subtract (3m^3-6)-(-2m^3+m^2+3)

sattari [20]

The answer you are looking for is: 
5 $m^{3}$ - $m^{2}$ -9 
Hope that helps!! 
Have a wonderful day!!

5 0

4 years ago

What is x?: 22+54x= -20 + 60x

DENIUS [597]

Answer:
x = 7

Explanation:
We are given
22 + 54x = -20 + 60x

We can add 20 on both sides using the Addition Property of Equality
42 + 54x = 60x

Subtract both sides by 54x using the Subtraction Property of Equality
42 = 6x

Divide both sides by 6 using the Division Property of Equality
x = 7

8 0

3 years ago

Angle DEF is an inscribed angle on a circle, and m∠DEF = 64°. What is the measure of arc DF?

Svetach [21]

Answer:

128°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the intercepted arc. That means that the intercepted arc is two times the inscribed angle.

Measure of the inscribed angle DEF is 64°, that means that the measure of the intercepted arc DF is 2×64°, which is 128°.

$m\overset{\huge\frown}{DF} = 2 \times m\angle DE F = 2 \times 64^\circ = 128^\circ$