Find the midpoint of R(2,2) and S(-3,6)

(-0.5, 4)

Step-by-step explanation:

Midpoint formula:

(x1, x2)=(2, -3)

(y1, y2)=(2, 6)

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=

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Step-by-step explanation:

The midpoint formula is given by:

Let (2,2) be x₁ and y₁ and let (-3,6) be x₂ and y₂. Therefore:

Simplify:

Step-by-step explanation:

Given sin 30° = 1/2, to check which of the statements is correct we will apply the Pythagoras theorem to a right angled triangle shown in the attachment.

using the SOH CAH TOA trig identity on the right angled triangle, ACD gotten from the equilateral triangle ABC;

From ΔACD, AD is the hypotenuse, DC is the opposite side to the angle 30° and AC is the adjacent.

From the diagram, sin30° = opp/hyp = DC/AD

sin30° = 1/2

Taking consideration of the acute angle 60°, the opposite side to the angle will be AC and the adjacent side will be CD.

According to CAH, cos 60° = adj/hyp = CD/AD

Given CD = 1 and AD = 2

cos60° = 1/2

This shows that sin30° = cos60° = 1/2

Note that ∠CDA and ∠DAC are angles complementary. Complementary angles are angles which have its sum to be 90°