Answer:
8(x+4)x(x-7)
Step-by-step explanation:
hope this helps!
I believe the correct given problem is:
“What is 80% in its simplest form as a fraction?”
Take note that you missed to place the percent sign which
is very important.
Now to solve this, 80% when converted to decimal form is
0.80 which means that you have 80 parts per 100 parts. Therefore the fraction
form of this would be 80 / 100.
fraction = 80 / 100
However this fraction is not yet the answer because we
can still simplify this further. First step in simplifying is to divide both
the numerator and denominator by 10 so that we are left with:
8 / 10
Next step is to divide by 2:
4 / 5
Now we can see that we can no longer divide this (numbers
should be whole number). Therefore the simplest form as a fraction is 4/5
Answer:
4/5
Again, nice problem. These are not super easy. You need to imagine the triangles in the figure and relate sides.
For instance: ADC, its hypotenuse is 15
For ABC, it is 20,
so 20/15 is the ratio between both triangles. Now let's choose the side with 'x'
x is one side of ADC, the corresponding side in ABC is 15 (the second longest sides). You need to rotate the triangles, etc ... That's the tricky part :)
So:
20/15 =15/x ----> x = 15*15/20 = 225/20 = 45/4
Which is C
Not sure whether it's too late to help you though!!!!
Also notice that it's kind of a product rule:
x * 20 = 15 * 15
I am sure the book explains a short way of getting to this equation, like sides opposite, blah blah, but what i told you is the reason. You asked for understanding it! Best luck!
Answer:
x=3
Step-by-step explanation:
Since both triangles are similiar, this means they can have different sized sides, but they are just scaled versions of each other. This also means that no matter what sides they have, their angles are going to be the exact same
Knowing this, it helps to draw them out side by side so you can match them up easier. Both of them have a 90 degree angle, and more specifically they are 45-45-90 triangles (45-45-90 is a special right triangle). You can point this out since they give us a 90 degree angle and two angles that are congruent in the same triangle. In order for that to work, they HAVE to be 45-45-90
With this, we can find out what x equals. Since the two angles markings line up with the two side angles in the other triangle, we know that they are equal to each other.
we can use the equation 15x = 45, since 45 is what the side angle should equal.
now, we just divide 45 by 15, and we should get 3
so x = 3!
I hope this helps :)
