Find the distance between the two points.
(3, -3) and (23, - 18)
The distance is

25 units

Step-by-step explanation: The difference between x-values is 23-3 = 20

The difference between y-values is -18 -(-3)= 15

Use the Pythagorean Theorem to find the length of the hypotenuse that completes the imaginary triangle. This is a classic 3-4-5 Pythagorean Triple. The calculated sides are in the ratio of 15:20, multiples of 5. So the remaining side is 5 times 5: 25

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6