Factor this expression.

Mathematics

2 answers:

scoundrel [369]3 years ago

5 0

The factor will result to answer which is D

Marat540 [252]3 years ago

3 0

Answer:

D.3x(x-2)

Step-by-step explanation:

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What angles of rotational symmetry are there for a regular hexagon?

adell [148]

Answer:

60°, 120°, 180°, 240° and 300°

Step-by-step explanation:

In case of a regular hexagon, there is a set of six movements to complete its one rotation. Now in one rotation, it will complete 360° of its circular motion. Now the formula to calculate the angle of rotation for any shape with equal length of its sides is:

Angle of rotation (Ф) = 360/Total number of sides

In this case, Ф = 360/6

Ф = 60

This formula is valid for every shape with equal sides, like in case of pentagon you will have 360/5 to calculate the angle of rotation.

Now in case of hexagon, at rotation of 60°, its rotation is symmetrical, which means rotation will not change its physical appearance, this is the case for next 60° rotation as well, or you can say that for 120° (60° before and 60° afterwards). This suit will follow for all the angles given in the answer section.

8 0

3 years ago

In the diagram below, NO is parallel to K L. If KN = 7, NO = 10, and

Vesnalui [34]

<h3>Answer: 14</h3>

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Work Shown:

$\frac{\text{KM}}{\text{NM}} = \frac{\text{KL}}{\text{NO}}\\\\\frac{\text{KN}+\text{NM}}{\text{NM}} = \frac{\text{KL}}{\text{NO}}\\\\\frac{7+x}{x} = \frac{15}{10}\\\\10(7+x) = 15x\\\\$