On a piece of paper, use a protractor to construct right triangle abc with ab=3 in. , m∠a=90° , and m∠b=45° .

AC = 3 in.

Step-by-step explanation:

It is given in the figure attached, in Δ ABC

∠ A = 90°

m∠B = 45°

AB = 3 in.

We have to find all sides of the triangle given

we will apply sine in Δ ABC to find the measure of AC

sinB =

Now by cross multiplication

BC = 3√2 in.

Now by Pythagoras theorem

BC²= AC² + AB²

(3√2)² = AC² + 3²

18 - 9 = AC²

AC = √9 = 3

Now we come to the options you have mentioned

AC = 3 in. is the correct answer.

AC=3 in, m∠C=45° and BC=3√2 in.

Step-by-step explanation:

Given information: ABC is a right angled triangle AB=3 in. , m∠A=90° , and m∠B=45° .

According to the angle sum property the sum of interior angles of a triangle is 180°.

The measure of angle C is 45°.

In a right angled triangle,

In triangle ABC,

Multiply both sides by 3.

The measure of AC is 3 in.

According to Pythagoras theorem,

Taking square root on both sides.

Therefore, the missing measurements are AC=3 in, m∠C=45° and BC=3√2 in.

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)