Answer:
Choice A, x=1
Step-by-step explanation:
So, to start, there's two routes that you can take there. I am going to show one of these routes.
Within the image, you see two triangles, you are able to tell that these triangles share two of the same sides, because of congruency lines on each of them.
The first group of congruent sides have 1 line going through them, the second group has 2 lines going through them. Let's go with the first group.
With the first group, we are using the lines CB and FE, where the measurements on each of them are 3x+1 and x+3 respectively.
Since they are congruent, they are equal and we can just set them equal to each other.
Starting With:
3x+1 = x+3
Step 1) Cancel out the +1
3x+1 -1 = x+3 -1
3x = x+2
Step 2) Cancel out the x
3x -x = x+2 -x
2x = 2
Step 3) Divide by 2 get x by itself
2x/2 = 2/2
x=1
All done!
Answer:
2,3,5
Step-by-step explanation:
These numbers all multipled is the most smallest number that has three different prime numbers.
Answer:
2. Equivalent
4. Denominator
Step-by-step explanation:
2. To subtract unlike fractions, rewrite them as <u><em>Equivalent</em></u> fractions with the same denominator. This is true because when we want to add or subtract fractions with different denominators, we can multiply them until they have the same denominator, which allows us to easily subtract.
4. Fractions with equal numerators and <em><u>Denominators</u></em> are equivalent to 1. This is also true, since 4/4 is a whole number, and that is the case with any fraction that has the same numerator and denominator
Hope this helps! :D
Answer:
Step-by-step explanation:
Twelve
You are correct, but I have a small comment.
As far as I can see, you have both 12 and 13 correct. The short way to do 12 is just to divide 72 into 360
360 / 72 = 5
The more general formula is 360 / central angle = # of sides.
What the question means is that if your start with a polygon (it is a regular polygon by the way), and rotate it around its center, how many sides does it have in order that when you go through 72 degrees, the figure looks like it did when you started.
If the polygon is completely unmarked, then the idea is that it will look like you haven't done anything to the polygon even though you have rotated it 72 degrees.
The way you did 13 is exactly how it should be done.
