iven: C is a point on the perpendicular bisector, l, of AB. Prove: AC = BC Use the drop-down menus to complete the proof. By the

Answer:

1. Calculate the sum of "a", "b" and "c".

2. The perimeter equation is:

Step-by-step explanation:

In this case, P denotes the triangle's perimeter while a, b, and c are the triangle's sides.

The definition states that the sum results from an addition operation. Thus, the statement "The perimeter P of a triangle equals the total of sides a, b, and c" means that the perimeter is determined by aggregating the lengths of the triangle's sides.

Consequently, you can express this in the following equation:

Answer:

Tan(b°) = 3/4, which is equivalent to three fourths (C).

Step-by-step explanation:

Triangle JKL is a right triangle with angle K being the right angle and angle L equal to b°.

We will employ SOHCAHTOA principles from trigonometry to calculate the sides' values.

For triangle ∆JKL:

Sin(b°) = opposite/hypotenuse

Sin(b°) = 3/5

Cos(b°) = adjacent/hypotenuse

Cos(b°) = 4/5

Tan(b°) = 3/4.

From the earlier information, we have the values for each side of triangle ∆JKL.

Please refer to the attached diagram for the triangle (1).

Triangle ∆JKL is scaled with a factor of 2.

This implies multiplying each side of ∆JKL by 2, resulting in:

Opposite side = 2(3) = 6

Adjacent side = 2(4) = 8

Hypotenuse = 2(5) = 10.

To find tan(b°) for the new triangle, we use the tangent ratio:

Tan(b°) = opposite/adjacent.

Tan(b°) = 6/8.

Tan(b°) = 3/4.

Find the diagram for the new triangle included (2).

Diagram 3 provides a depiction of both triangles.

As shown, the angle remains unchanged when a triangle is scaled by a factor.

Thus, we conclude that tan(b°) = three fourths (C).

The bus's speed is calculated as: velocity (bus) = 36 miles / 40 min, which simplifies to velocity (bus) = 0.9 miles / min. Given that the car's speed is 1.5 times that of the bus, we find: velocity (car) = 1.5 * 0.9 miles / min, leading to velocity (car) = 1.35 miles / min. At the point where they meet, the total distance covered equals 36 miles. Hence: 1.35 t + 0.9 t = 36, and thus 2.25 t = 36 resulting in t = 16 min. They will converge after 16 minutes.

Finding a solution to an equation entails determining the value of x that renders the equation valid.

We must reverse the operations applied to x to isolate it.

Final Note:

The resulting equation is false, indicating that there is NO solution. Graphically, both equations will be represented as parallel lines that do not intersect.