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frutty [35]
3 years ago
12

Two angles are complementary. Angle 1 measures 33.5 degrees. What is the measure of Angle 2? *

Mathematics
1 answer:
Juliette [100K]3 years ago
3 0
56.5 degrees

Two Angles are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees.
90 degrees - 33.5 degrees =56.5 degrees
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Find the perimeter of the following shape, rounded to the nearest tenth:
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Answer:

B, 19.1

Step-by-step explanation:

Imagine that each side is the hypotenuse of a triangle. You want to use the Pythagorean theorem on each of these triangles to find the length of the side.

Let's start with AB:

One side of the triangle is the distance between the points in the x direction only. A is at the x-coordinate of -3 while B is at the x-coordinate of 2. The side is, thus, 5 units.

The other side of the triangle is the distance between the points in the y direction only. A is at the y-coordinate of 5, while B is at 6. The distance is 1 unit.

So we have a triangle with the base of 5 and the height of 1. The Pythagorean theorem says:

Base² + Height² = Hypotenuse²

Or

a² + b² = c²

where a, b are the sides, and c is the hypotenuse.

Put our values into this, the base is 5 and the height is 1:

5² + 1² = c²

25 + 1 = 26 = c²

c = √26 ≈ 5.1

Repeat this for the lengths BC, CD, and DA.

BC

x-difference = 2

y-difference = 4

4² + 2² = c²

20 = c²

c = √20 ≈ 4.47

CD

x-difference = 5

y-difference = 1

(since this is the same as AB we can use that value ≈ 5.1 )

DA

x-difference = 2

y-difference = 4

(since this is the same as BC, we can use that value ≈ 4.47)

Add all these together:

5.1 + 5.1 + 4.47 + 4.47 ≈ 19.14

(Note: this is not exact, but it's good enough for this purpose)

The closest option to this is B, 19.1 - thus, B is the answer.

5 0
3 years ago
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