Answer:
All the coordinates are changed to
(x, y) ⇒ (2x, 2y)
Step-by-step explanation:
Given - A triangle is to be dilated with the origin as the center of dilation and with a scale factor of 2.
To find - Which answer choice correctly maps this dilation algebraically?
Proof -
Let ABC is a triangle where A, B, C are the vertices of the triangle respectively.
Now,
Let the coordinates be (x, y)
If a triangle is to be dilated with the origin as the center of dilation and with a scale factor of a , then the coordinated be changes as
(x, y) ⇒ (ax, ay)
Here given , a = 2
So, all the coordinates are changed to
(x, y) ⇒ (2x, 2y)
Answer:
3/4
Step-by-step explanation:
1/4 * 3 = 3/4
This is a fraction, not a mixed number
3 5/9 divided by -2 2/3
change the mixed numbers to improper fractions
3 5/9 = (9*3+5)/9 = 32/9
-2 2/3 = -(3*2+2)/3 = -8/3
32/9 divided by -8/3
copy dot flip
32/9 * -3/8
-96/72
divide top and bottom by 24
-4/3
=-1 1/3
Answer: - 1 1/3
Okay so to find this you need an equation to find x. for you have 5x+x=180
6x=180 divide both sides by 6 you get x=30 now you can double check. one angle is 30 and one is 5*30 see if you get 180 you 30+5*30 5*30=150+30=180 so it's correct. so x=30 so to find the smallest angles could be x=180-5x
i hope this helped you have an amazing day!!
5=2n - 3
you have to add 3 on both parts so that you can take eliminate the three on the right side. doing so, means you have to add 5+3 which equals 8. You then have to get 'n' alone and to do that you have to divide the 2 with 2n so that the n will be alone. but, you have to do it on both sides which means it will be 8/2. which solves for
n = 4