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sp2606 [1]
3 years ago
11

If 2(x -1) = 14, then x =

Mathematics
1 answer:
mel-nik [20]3 years ago
7 0
Remember you can do anything to an equestion as long as you do it to both sides


2(x-1)=14
divide both sides by 2
x-1=7
add 1 to both sides
x=8
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If a 12 sided regular polygon rotates about its center at which angle of rotation will the image of the polygon coinside with th
Amanda [17]

Answer: 30 degrees

This is the minimum amount of rotation.

Why this value? Well because 360/12 = 30

Consider a triangle with 3 sides. Specifically I mean an equilateral triangle. We can rotate it 120 degrees to have it line up with itself. Now notice that 360/3 = 120.

For a square, we can rotate it 90 degrees and we can say 360/4 = 90

So the general rule is that the minimum angle of rotation is 360/n, where n is the number of sides. This rule only works for regular polygons. Regular polygons have the same side length and the same angle measure (the side and angle measure won't necessarily be equal).

So going back to this 12 sided dodecagon, we have n = 12 and 360/n = 360/12 = 30 as the minimum angle of rotation. Each 30 degree rotation will have the polygon match up perfectly with its old image. The preimage and image will be identical.

6 0
3 years ago
The area of the triangle is 28.7 square centimeters. What is the base length of the triangle in centimeters?
Montano1993 [528]

In order to derive the base of a triangle from its area, you need its height as well.

In fact, if we solve the area formula for the base, we have

A=\dfrac{bh}{2} \iff 2A = bh \iff b=\dfrac{2a}{h}

So, the base length would be

b=\dfrac{2\cdot 28.7}{h} = \dfrac{57.4}{h}

where h is the height relative to the base you're interested in.

3 0
3 years ago
What equality is shown above
Bogdan [553]

Answer: If you see this line solid its > or equal too this > with line underneath

If you see line broken it's only >

Y>_ - 1/4x+2

Step-by-step explanation:

Starts at 2 on y then next pt go down 1 and 4 to the right

6 0
3 years ago
Please help im so confused
MArishka [77]

Answer:

i

Step-by-step explanation:

i = \sqrt{-1}

i^2 = -1

i^3 = -i

i^4 = 1

(Make sure you know your exponent rules)

i^4^1 = i^4^0 * i = (i^1^0)^4 * i \\i^4 = 1 \\i^1^0 * i *1 \\i^1^0=1\\1*1*i=i

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%3Cbr%3E%0Ay%3D%20x%5E%7B2%7D%20-9" id="TexFormula1" title="&amp;#10;y= x^{2} -9" alt="&amp;#1
svp [43]
Simple...

y=x^{2} -9

y= x^{2} -9

It's quite easy to see x^{2} = x^{2}

Thus, any value of x makes the equation true.

Thus, your answer.
7 0
3 years ago
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