The measure of an angle is 6° less than the measure of its complement.

Mathematics

1 answer:

kogti [31]3 years ago

7 0

It’s 3 less then measure of its complement 6°

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Find the area of each shape by decomposing each shape into rectangle and/or triangle.

avanturin [10]

Remark

You don't have to decompose the second one, and it is better if you don't. Just find the area as you probably did: use the formula for a trapezoid. You have to assume that the 6cm line hits the 2 bases at right angles for each of them, otherwise, you don't know the height. So I'm going to assume that we are in agreement about the second one.

Problem One

The answer for this one has to be broken down and unfortunately, you answer is not right for the total area, although you might get 52 for the triangle. Let's check that out.

Triangle

Area = 1/2 * b * h

base = 16 cm

h = 10 - 4 = 6

Area = 1/2 * 16 * 6

Area = 48

Area of the Rectangle

Area = L * W

L = 16

W = 4

Area = L * W

Area = 16 * 4

Area = 64

Total Area

Area = 64 + 48

Area = 112 of both figures <<<< Answer

3 0

3 years ago

Please help me with these rotation problem.

FrozenT [24]

Answer:

see below

Step-by-step explanation:

In the attachment, the points are listed in the order given in the problem statement. (They are listed to the right of the "rotation matrix", with x-coordinates above y-coordinates.)

I really don't like to do repetitive calculations, so I try to use a graphing calculator or spreadsheet whenever possible. Angles are measured CCW.

As always, the rotation transformations are ...

180° — (x, y) ⇒ (-x, -y)

270° — (x, y) ⇒ (y, -x)