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3 years ago

Please help asap, shehhrhd

Mathematics

1 answer:

Dovator [93]3 years ago

7 0

Answer:

55°

Step-by-step explanation:

y+x=180°

25°+30°+x=180°

25°+30°=y

y=55°

*Exterior Angle Theorem*

Sorry for the lack of explanation. It's midnight, so I didn't have much time.

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If r and s are positive integers, is \small \frac{r}{s} an integer? (1) Every factor of s is also a factor of r. (2) Every prime

Yuri [45]

Answer:

If statement(1) holds true, it is correct that $\small \frac{r}{s}$ is an integer.

If statement(2) holds true, it is not necessarily correct that $\small \frac{r}{s}$ is an integer.

Step-by-step explanation:

Given two positive integers $r$ and $s$ .

To check whether $\small \frac{r}{s}$ is an integer:

Condition (1):

Every factor of $s$ is also a factor of $r$ .

$r \geq s$

Let us consider an example:

$s = 5^2 \cdot 2\\r = 5^3 \cdot 2^2$

$\dfrac{r}{s} = \dfrac{5^3\cdot2^2}{5^2\cdot2} = 10$

which is an integer.

Actually, in this situation $s$ is a factor of $r$ .

Condition 2:

Every prime factor of s is also a prime factor of r.

(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)

Let

$r = 2^2\cdot 5\\s =2^4\cdot 5$

$\dfrac{r}{s} = \dfrac{2^3\cdot5}{2^4\cdot5} = \dfrac{1}{2}$

which is not an integer.

So, the answer is:

If statement(1) holds true, it is correct that $\small \frac{r}{s}$ is an integer.

If statement(2) holds true, it is not necessarily correct that $\small \frac{r}{s}$ is an integer.

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3 years ago

Find the circumference of the circle with radius 28 cm.

Artist 52 [7]

The circumference of the circle that has a radius of 28 cm is: 175.9 cm..

<h3>What is the Circumference of a Circle?</h3>

Circumference of a circle = 2 × π × r, where r = radius of the circle.

Given that a circle has:

radius (r) = 28 cm

Therefore:

Circumference of the circle = 2 × π × r

Plug in the value of r

Circumference = 2 × π × 28

= 175.9 cm.

Learn more about circumference of circle on:

brainly.com/question/20489969

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Step-by-step explanation:

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