Answer:
Step-by-step explanation:
There are five lines of symmetry in a regular pentagon:
Each going from side midpoint to opposite vertex.
here is a drawing of all of them filled in:
I think A.
..................................................................
Answer:
Right 2, up 3
Step-by-step explanation:
In the vertex form transformations....
f(x) = a(x-h)²+k
- a - indicates <em>vertical stretches</em>, <em>compression</em>, and/or a <em>reflection across the x-axis</em>.
- h - indicates only on the <u><em>x-axis</em></u>. Negative = Goes right, Positive - goes left
- k - indicates only on the y-axis. Positive = up, negative = down
Answer:
<h2>
y + 2 = ³/₄(x + 8)</h2>
Step-by-step explanation:
The point-slope form of the equation that describes the line with a slope of <em>m</em> and containing the point (x₀, y₀) is: y - y₀ = m(x - x₀)
m = ³/₄
(-8, -2) ⇒ x₀ = -8, y₀ = -2
Therefore:
y - (-2) = ³/₄(x - (-8))
y + 2 = ³/₄(x + 8)
To solve this problem lets assume, that the number 60 is 100% - because it's the output value of the task. <span>We assume, that x is the value we are looking for. </span><span>If 100% equals 60, so we can write it down as 100%=60. </span><span>We know, that x% equals 120 of the output value, so we can write it down as x%=120. </span>Now we have two simple equations:
<u>1)100%=60</u>
<u>2) x%=120</u>
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that: 100%/x%=60/120.
Now we just have to solve the simple equation, and we will get the solution we are looking for.
<em>Solution for 120 is what percent of 60</em>
<em>100%/x%=60/120</em>
<span><em>(100/x)*x=(60/120)*x - </em></span><em>we multiply both sides of the equation by x</em>
<span><em>100=0.5*x - </em></span><em>we divide both sides of the equation by (0.5) to get x</em>
<span><em>100/0.5=x </em></span>
<span><em>200=x </em></span>
<em>x=200</em>
<span><em>now we have: </em></span>
<span><em>120 is 200% of 60</em></span>
