Sydney says that 4/8 is closer to 0 than to 1. Is she correct?

Answers

Answer 1

Answer: No. When Sydney says that 4/8 is closer to 0 than to 1, she is incorrect.

4/8 is the number that's exactly in the perfect middle between 0 and 1.
It's distance from 0 and its distance from 1 are precisely the same.

Answer 2

Answer: when you simplify 4/8 you get 1/2 so it`s the same distance from 0 and 1

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manny draws three regular pentagons to create the shape shown below. the perimeter of one of the pentagons is 45 inches. what is the perimeter of Manny's new shape?

Answers

because she used three pentagons in her new shape
We will multiply 45 into 3
So the answer is 135 inches.

Answer:

24 i got it right

Step-by-step explanation:

Explain why x+8=12 and 12-x=8 have the same solution ?

Answers

$x+8=12\ \ \ \ |subtract\$

because the equations are equivalent, either way you solve them, you will have the same outcome

Start at 12 create a pattern that multiplies each number by 4

Answers

So,

Basically, you're asking us to start a pattern with 12 and multiply it for every subsequent term.
12, 12 * 4, 12 * 4^2, 12 * 4^3, ...
12, 48, 192, 384, ...

So the geometric sequence will look like this:

$12 * 4^(n-1)$

A geometric sequence is a sequence where the next terms are found by performing multiplication or division. In this case, we are multiplying by 4. This is opposed to an arithmetic sequence, where we are adding or subtracting.

To show that this geometric sequence works, let's try to find a few terms. To find the nth term, you just have to plug in the number of the term into the expression for n.

For instance, find the first term. This is the resulting expression:
$12*4^(1-1)=12*4^0=12*1=12$

Let's try a few more terms. The 2nd term:
$12 * 4^(2-1) = 12*4^1=12*4=48$

The 3rd term:
$12 * 4^(3-1) = 12*4^2=12*16=192$

And that's how the geometric sequence works.

How do I solve for x

Answers

Triangles ABC and DEF are similar, which means corresponding sides are proportional to one another. Here, side AB corresponds to DE, BC to EF, and AC to DF.

We know the length of AB and AC, and we can figure out the length of BC using the Pythagorean theorem:

$8^2+BC^2=17^2\implies BC=15$