The ratio 63:18:27 in simplest form.

Option C:

The measure of arc GH is 45°.

Solution:

Given data:

m∠GFH = 22.5°

To find the measure of arc GH:

By inscribed angle theorem,

The measure of an inscribed angle is equal to the half of the measure of the intercepted arc.

Multiply by 2 on both sides, we get

Switch the sides.

m(arc GH) = 45°

The measure of arc GH is 45°.

Option C is the correct answer.

Answer:1/6

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 35 and 210 is 35

Divide both the numerator and denominator by the GCD

35 ÷ 35

210 ÷ 35

Reduced fraction:

1

6

answer is 5/6 like the numerator is 5 and the demonator is 6

Answer:

66.67 ml of 5% solution and 133.33 ml of 6.5% solution are mixed.

Step-by-step explanation:

Let 200 ml of 6% solution is formed by mixing x ml of 5% solution and y ml of 6.5% solution.

We can write the equation x + y = 200 ........ (1)

Now, x ml of 5% solution will contain ml of acid  

Again, y ml of 6.5% solution will contain ml of acid.

So, mixing them together will give (0.05x + 0.065y) ml of acid in 200 ml of solution.

So, from the condition given we can write  

⇒ 0.05x + 0.065y = 12  

⇒ x + 1.3 y = 240 ........... (2) {Dividing both sides by 0.05}

Now, solving equations (1) and (2), we get

0.3y = (240 - 200) = 40

⇒ y = 133.33 ml  

From equation (1) we get, x = 200 - 133.33 = 66.67 ml

Therefore, 66.67 ml of 5% solution and 133.33 ml of 6.5% solution are mixed. (Answer)