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3 years ago

Are all isosceles triangles similar? Are all right triangle similar? Are all isosceles right triangles similar? Explain.

Mathematics

1 answer:

Alex17521 [72]3 years ago

5 0

9514 1404 393

Answer:

a) no

b) no

c) yes

Step-by-step explanation:

a) Isosceles triangles can have a third angle (the one that is not part of the pair of equal angles) with any value in the range 0 < α < 180°. Triangles with different angle values will not be similar.

Not all isosceles triangles are similar.

b) The smallest acute angle of a right triangle can have any measure in the range 0 < α ≤ 45°. Right triangles having different smallest angles will not be similar. The attachment shows dissimilar right triangles.

Not all right triangles are similar.

c) If the smallest acute angle of a right triangle is 45°, then both acute angles are 45°, and the right triangle is an isosceles triangle. Each such triangle will be similar to every such triangle.

All isosceles right triangles are similar.

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Which segment is a diameter of this circle? Ο TX O VX Ο XY

professor190 [17]

Answer:

The answer is VX.

Step-by-step explanation:

This is because the line segment VX, reaches from one end of the circle to the other, touch both sides of the circle. The other options do not make sense since segment XY does not go through the center of the circle and TX is the radius of the circle. The radius is half the diameter of the circle.

Therefore, the answer is VX.

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2 years ago

Determine the domain and range of each function f(x)=-|x|-2

Alinara [238K]

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: (- infinity, infinity)
Range: (- infinity, -2)

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3 years ago

Tell whether the relation is a function. {(-5, -3), (-1, 3), (4, 3), (8, 8)}

VladimirAG [237]

Given:

The relation is {(-5, -3), (-1, 3), (4,3), (8, 8)}.

To find:

Whether the given relation is a function or not.

Solution:

A relation is called a function, if there exist a unique output for each input.

We have, a relation given as

{(-5, -3), (-1, 3), (4,3), (8, 8)}

Here, all x-values are different. So, each x-value has a unique y-value.

Thus, there exist a unique output for each input.

Therefore, the given relation is a function.

8 0

3 years ago

The quadrilateral ABCD has area of 58 in2 and diagonal AC = 14.5 in. Find the length of diagonal BD if AC ⊥ BD.

MAXImum [283]

We know that

The formula for the area of a quadrilateral with perpendicular diagonals is
A=(0.5)*(D1*D2)
A=58 in²
D1=AC=14.5 in
D2=BD=?

so

D2=2*A/D1-----------> 2*58/14.5-----------> D2=8 in
BD=D2=8 in

the answer is
BD=8 in

5 0

3 years ago

Read 2 more answers

What are the real and complex solutions of the polynomial equation? x^3-64=0

Marrrta [24]

Answer:

Step-by-step explanation:

A difference of two perfect cubes, x^3 - y^3 can be factored into

(x-y) • (x^2 +xy +y^2) =0 equation 1

x ^3 - 64 = 0

(x)^3 - (4)^3 = 0 equation 2

Now substituting equation 2 into equation 1, we get

(x-4) (x^2+(x).(4) +(4)^2) = 0

(x-4) (x^2+4x+16) = 0

so the solutions are

1) x - 4 =0

x=4

x^2 + 4x + 16 = 0

By using the quadratic formula we get the followig solutions:

- B ± √ B2-4AC

x = ————————

x =(-4-√-48)/2=-2-2i√ 3 = -2.0000-3.4641i

x =(-4+√-48)/2=-2+2i√ 3 = -2.0000+3.4641i

4 0

3 years ago