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2 years ago

15

Which relationship describes angles 1 and 2?

1 answer:

stiks02 [169]2 years ago

6 0

They are vertical angles and here’s why.

Vertical angles are a pair of opposite angles formed by intersecting lines.

Supplementary angles are two angles that equal 180 when added together.

Adjacent angles are two angles that have a common side and a common vertex.

Complementary angles are two angles that add up to 90 degrees.

Hope this helped!

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Consider the following statement. If r is any rational number and s is any irrational number, then r s is irrational. (a) Which

olganol [36]

Answer:

(a) If r is any rational number and s is any irrational number, then r/s is rational

(b) The statement is false when r is 0

Step-by-step explanation:

Given

$r \to$ rational number

$s \to$ irrational number

$\frac{r}{s} \to$ irrational number

Solving (a): The negation

To get the negation of a statement, we only need to negate the end result

In other words, the number type of r and s will remain the same, but r/s will be negated.

So, the negation is:

$r \to$ rational number

$s \to$ irrational number

$\frac{r}{s} \to$ rational number

Solving (b): When r/s is irrational is false

Given that:

$\frac{r}{s} \to$ irrational number

Set r to 0

So:

$\frac{r}{s} = \frac{0}{s}$

$\frac{r}{s} = 0$ -- rational

<em>Hence, the statement is false when r is 0</em>

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3 years ago

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Leviafan [203]

Answer:

$\boxed {\boxed {\sf C. \ 4 \ inches}}$

Step-by-step explanation:

Circumference is the perimeter of a circle. It can be found using the formula:

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However, we are given the radius.

The radius measures from the center to the edge of the circle.
The diameter measures from edge to edge through the center.
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The formula can be rewritten as:

$c= \pi 2 r$

We know the circumference is 25.12 inches.

$25.12 \ in = \pi 2r$

Let's round pi to 3.14

$25.12 \ in = (3.14) 2r$

We want to solve for the radius, so we must isolate it.

Divide both sides by 3.14 because the inverse of multiplication is division.

$25.12 \ in / 3.14= (3.14 ) 2r / 3.14$

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Divide both sides by 2.

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The radius of the disc is <u>4 inches.</u>

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3 years ago