1)
a. The ratio of the areas of the triangle is 1 : 0.36
This is because when a scale factor is applied to a figure it affects the figure by multiplying it by the scale factor squared, and 3/5=0.6, 0.6^2 = 0.36, therefore the ratio is 1 : 0.36
The area of triangle ABC is 1600 inches squared. This is because the dilation will scale the pre-image area by multiplying it by the (scale factor) squared, so in order to find the area of the pre-image with the information of the image, you just divide the area by the scale factor squared. That would be 576/0.36 = 1600 inches squared
2)
a. We can find the scale factor by dividing the length of the image by the length of the pre-image. This would be mZY/mRW = 7/0.5 = scale factor = 14.
b. To find the length of VY, we just have to multiply the corresponding side length by the scale factor. VY's corresponding side length is SW, as they are both angle bisectors of similar triangles, and so we multiply 4 * 14 = 56.
- Sorry I have to go right now so I can't answer #3
Number 1 is A. Flipping a coins gives you heads or tails. There are four colors on the spinner. That would give you:
H - R
H - B
H - G
H - Y
T - R
T - B
T - G
T - Y
For number two I'm assuming you mean what the probabilities are that you select an eraser that isn't pink.
There are 14 erasers. The probability of picking an eraser is 14/14. You need to subtract the probability of picking a pink eraser to find the probability of not getting a pink eraser.14/14 - 4/14 is 10/14. That can be simplified to 5/7 which would be C.
Hi! Let me help you!
- Remember, factoring looks like so:
- ab+ac=a(b+c)
- So, we need to find the greatest common factor (G.C.F.) of the polynomial.
- In this case, 6 is the GCF, so we factor it out:
- 6x²+66x+60
- Divide 6, 66 and 60 by 6:
- x²+11x+10
<u>Answer:</u>
x²+11x+10
Hope you find it helpful.