Answer:
Formula for area of triangle:
A = bh x 1/2
Formula for area of parallelogram:
A = bh
Now find the area of the figure above which is a triangle:
3(base) x 8(height) x 1/2 = <em>12</em>
Let's find the area of the parallelogram;
6(height) x 9(base) = <em>54</em>
Add the two areas together:
12 + 54 = 66 cm2
Dilation always preserves angle measures, the given statement best explains why the dilation of a triangle produces a similar triangle
<u>Step-by-step explanation:</u>
The dilation (similarity transformations) varies the size of the figure. This requires a midpoint and a scale factor k. The k value finds whether it is an increase or decrease.
- If | k |> 1, the dilation is an extension.
- If | k | <1 it is reduction.
The absolute value of k determines the size of the new image relative to the size of the original image. If the k is positive, the new and original image is on the same side of the center.
If k is negative, they are on both sides of the center. Its own image is always at the center of development. This support angle size, point equality, and collinearity. Does not maintain distance. In simple, dilation always give similar figures.
Answer:
Step-by-step explanation:
We are given:
And we want to find:
This is equivalent to:
So, we will evaluate g(-5) first, which yields:
So:
Then:
Therefore:
Through trial and error:
(7x-6)(3x-2)
Usually it works best to test out a number of possibilities :)
Answer:
7
Step-by-step explanation:
1. Lets Combine Like Terms. The only combineable terms are 8 and 8. So if we combine them they will equal 16. And we will have (2n+2)=16
2. Let's isolate the variable. We can do this by subtracting 2 from both sides. This will come out to 2n+14.
3. Let's further isolate the variable. We can do this by dividing both sides by two, which will finally come out to n=7
