Answer: 10, 11, 12
Step-by-step explanation: Think of the integers like this:
1st integer: x
2nd integer: x+1
3rd integer: x+2
That is necessary because they are consecutive integers. Since the sum is 33, we need to create an equation.
x+x+1+x+2=33.
Simplify:
3x+3=33.
Opposite operations:
3x=-3+33.
To get the 3 close to the 33, we needed to make it negative, which is the opposite operation of the positive 3.
So,
3x=30.
Divide by 3:
x=10.
The first integer, x, equals 10.
To go with the guide that we already created,
1st integer: x=10
2nd integer: x+1=11
3rd integer:x+2=12.
Therefore, the three consecutive integers are 10, 11, and 12.
To check that, add them up. They all equal 33 and they are consecutive, which means this is the right answer!
I don't see any question there ... just a bunch of pretty rulers.
I'm going out on a limb here, and I'm gonna assume that the question is "Identify the number to which the arrow on each ruler is pointing.".
If that's the question, you're welcome. If not, ignore everything I'm about to say.
Orphan ruler on page-1: 6 and 1/4
Rulers on page-2, starting at the top and working down:
6 and 3/8
1
3 and 5/8
2 and 1/2
7 and 3/4
4 and 7/8
5 and 1/8
9 and 1/2 .
If these answers are not helpful, remember: I'm the one who had to invent the question, and for the question that I invented, these answers are all correct !
Answer:
<em>Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.</em>
<em>Choice 1.</em>
Step-by-step explanation:
<u>Reflection over the x-axis</u>
Given a point A(x,y), a reflection over the x-axis maps A to the point A' with coordinates A'(x,-y).
The figure shows triangles ABC and A'B'C'. It can be clearly seen the x-coordinates for each vertex of both triangles is the same and the y-coordinate is the inverse of it counterpart. For example A=(5,3) and A'=(5,-3)
Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.
Choice 1.
Answer:
8n³ + 4
Step-by-step explanation:
For the first question
The image grew bigger the new triangle is bigger than the original one
The scale factor is 3 by finding the length of
CA prime divided by Regular CA
