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4 years ago

Triangles similar to the same triangle are ______ to each other.

Mathematics

2 answers:

wel4 years ago

8 0

A is the corect answer they congruent.

Cloud [144]4 years ago

4 0

I would think B) Similar would make the most sense tbh.

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If someone could please just tell me how to do this that would help a lot. Suppose B is between A and C. Use the Segment Additio

lys-0071 [83]

Answer:

x=11

AB=45

BC=73

Step-by-step explanation:

AB+BC=AC, so...

4x+1+7x-4=118

Combine like terms

11x-3=118

Solve for x

11x=118+3

11x=121

x=11

Now put x in each equation

AB=4x+1=4(11)+1=44+1=45

BC=7x-4+7(11)-4=77-4=73

AC=45+73=118 (which was given!)

4 0

3 years ago

M∠1=12x-11°<br> m∠2=10x+17°

Artemon [7]

Answer:

Step-by-step explanation:

X=26

4 0

3 years ago

Find the sum of the series: .25+.125+.0625+....

alexgriva [62]

Hope it will help you!

4 0

4 years ago

Give an odd function which of following transformations would result in an odd function

tamaranim1 [39]

Answer: Reflection across the x-axis and Vertical stretch are the ones that return an odd function.

Step-by-step explanation:

An odd function f(x) is a function such that:

f(-x) = -f(x).

So let's analyze the options:

A) Horizontal translation.

An horizontal translation of A units to the right (A > 0) is written as:

g(x) = f(x - A)

Now, let's see if g(x) is also odd.

g(x) = f(x - A)

g(-x) = f(-x - A)

Now, f(-x - A) is equal to -f( x + A)

then:

g(-x) = f(-x - A) ≠ -g(x) = -f(x - A)

This is not an odd function.

B) Reflection over the x-axis.

When we have a point (x, y), a reflection over the x-axis changes the sign of the y-variable.

Then we have that:

g(x) = -f(x).

Then:

g(x) = -f(x)

g(-x) = -f(-x) = -(-f(x)) = f(x)

then:

g(x) = -f(x) = -g(-x)

This is an odd function.

C) Vertical stretch:

We can write a vertical stretch of factor scale A as:

g(x) = A*f(x).

Let's see if g(x) is odd:

g(-x) = A*f(-x) = A*(-f(x)) = -A*f(x) = -g(x)

this is a odd function.

C) Vertical translation:

A vertical translation of A units up (A > 0) is written as:

g(x) = f(x) + A.

Similar to the case of the horizontal translation, so it is easy to see that g(x) is not an odd function.

8 0

4 years ago

Cylinder A has radius r and height h as shown in the diagram. Cylinder B has radius 4r and height 4h. How many times greater is

svetlana [45]

Answer:

The surface area of Cylinder B is 16 times the surface area of Cylinder A

Step-by-step explanation:

<u>Note</u>: <em>It is assumed we are looking at the total surface area (but the answer would be same for both cases)</em>

<h3>Given</h3>

Cylinders A with radius - r, height - h,
Cylinder B with radius - 4r, height - 4h.

The ratio of total surface areas of cylinder B to A

<h3>Solution</h3>

Total surface area of cylinder A is:

$S_A = 2\pi r(h + r)$

Total surface area of cylinder B is:

$S_B = 2\pi(4r)(4r + 4h) = 8\pi(4)(r + h) = 32\pi(r + h)$

Find the ratio of areas:

$\cfrac{S_B}{S_A} =\cfrac{32\pi(r+h)}{2\pi(r+h)} =16$

3 0

3 years ago