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3 years ago

Why are corresponding exterior angles of similar triangles congruent?

Mathematics

1 answer:

Ivenika [448]3 years ago

7 0

Answer:

In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling (enlarging or reducing), possibly with additional translation, rotation and reflection. This means that either object can be rescaled, repositioned, and reflected, so as to coincide precisely with the other object. If two objects are similar, each is congruent to the result of a particular uniform scaling of the other.

Step-by-step explanation:

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3 square roots 8 multiplied by 4 square roots of 3

oksano4ka [1.4K]

Answer:

24 root 6

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Need help for an assignment please and thank you.

BARSIC [14]

Answer: $130.9^{\circ}$

Step-by-step explanation:

Given

The number of students in the first year is 800

The number of students in the second year is 950

The number of students in the third year is 1000

If this data is graphed on a pie chart, then the area percentage of area occupied by third years is

$\Rightarrow \dfrac{1000}{1000+950+800}\times 100=36.36\%$

Now, the angle around the center of the circle is $360^{\circ}$

$\therefore \text{angle covered by third years=}0.3636\times 360^{\circ}\\\Rightarrow 130.896\approx 130.9^{\circ}$

6 0

3 years ago

A company makes concrete paving stones in different sizes. Each stone has a volume of 30 cubic inches and a height of 3 inches.

Zepler [3.9K]

Answer:

There are 5 different sized paving stones that can have a volume of 360 in³.

Step-by-step explanation:

Volume = Area x height.

We are given;

volume; V = 360 in³

Height; h = 3 in

Thus, 360 = A x 3

A = 360/3 = 120 in²

This is the area of the base, so we need to find the number of different stones which have a base area of 120 in².

Let's list all the factors of 120 which are;

1,2,3,4,5,6,10,12,20,24,30,40,60,120

The question says we shouldn't use 1 or 2 in inches as length and width.

Leaving us with the remaining listed factors.

So the pair of factors that give and area of 120 are;

Size;

3 x 40

4 x 30

5 x 24

6 x 20

10 x 12

Thus, there are 5 different sized paving stones that can have a volume of 360.

5 0

3 years ago

Is the sum of two monomials always a monomial? Is their product always a monomial?

Ivan

Sum of two monomials is not necessarily always a monomial.

For example:

Suppose we have two monomials as 2x and 5x.

Adding 2x+5x , we get 7x.

So if two monomials are both like terms then their sum will be a monomial.

Suppose we have two monomials as 3y and 4x

Now these are both monomials but unlike, so we cannot add them together and sum would be 3y + 4x , which is a binomial.

So if we have like terms then the sum is monomial but if we have unlike terms sum is binomial.

Product of monomials:

suppose we have 2x and 5y,

Product : 2x*5y = 10xy ( which is a monomial)

So yes product of two monomials is always a monomial.

4 0

3 years ago

Read 2 more answers

Given that (-6,2) is on the graph of f(x) find the corresponding point for the function f(1/4x).

Dafna1 [17]

Answer: (-24,2)

=======================================

Work Shown:

The y coordinate stays the same. Only the x coordinate will change.

(1/4)*x = -6
x = -6*4
x = -24 is the new x coordinate
Plugging x = -24 into f((1/4)x) leads to f(-6) = 2

7 0

4 years ago