Answer:
Chris=24
Jane=32
Shen=96
Step-by-step explanation:
Chris= x
Jane = x + 8
Shen = 4x
6x+8= 152
152-8=144
6x=144
144/6=24
x=24
1. We assume, that the number 92 is 100% - because it's the output value of the task.
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 100% equals 92, so we can write it down as 100%=92. </span>
<span>4. We know, that x% equals 46 of the output value, so we can write it down as x%=46. </span>
5. Now we have two simple equations:
1) 100%=92
2) x%=46
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%=92/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 46 is what percent of 92
100%/x%=92/46
<span>(100/x)*x=(92/46)*x - </span>we multiply both sides of the equation by x
<span>100=2*x - </span>we divide both sides of the equation by (2) to get x
<span>100/2=x </span>
<span>50=x </span>
x=50
<span>now we have: </span>
<span>46 is 50% of 92
I hope this helps!
</span>
Answer:
54,400
Step-by-step explanation:
Answer: x = 4.6
Step-by-step explanation:
From the diagram opposite is 4
Adjacent is x
@ = 41 degrees.
Solve from SOH CAH TOA
From here the one that has opposite and adjacent is TOA which is;
[email protected] = opposite/ adjacent
[email protected] = 4/x
x = 4/[email protected]
x = 4/tan 41
x = 4/0.869
x = 4.6
A rotation transformation is where you turn a figure about a given point. The point about which the object is rotated can be inside the figure or anywhere outside it. There must be no change in shape or size of the object.
A reflection of an object is the 'flip' of that object over a line, called the line of reflection.
A translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized.
All these three transformations are rigid - preserve the figure sizes.
A dilation is a transformation that changes the size of a figure. It can become larger or smaller, but the shape of the figure does not change.
Answer: dilation maps the large triangle onto the small triangle
