The angle is in the third quadrant.
Answer: Angelo is 13 years old.
Aaron is 15 years old
Alfred is 34 years old
Step-by-step explanation:
Let x represent the age of Angelo.
Let y represent the age of Aaron.
Let z represent the age of Alfred
The sum of three guys ages is 62. It means that
x + y + z = 62 - - - - - - - - - - -1
Angelo is two years younger than Aaron. It means that
x = y - 2
Alfred is four years older than twice Aaron's age. It means that
z = 2y + 4
Substituting x = y - 2 and z = 2y + 4 into equation 1, it becomes
y - 2 + y + 2y + 4 = 62
4y + 2 = 62
4y = 62 - 2 = 60
y = 60/4 = 15
x = y - 2 = 15 - 2
x = 13
z = 2y + 4 = 2 × 15 + 4
z = 34
The equation intersecting these two points is:
y = -2x + 7
When x = -4, y = 15
When x = 2, y = 3
C. Its sides are 6 times as long as that of the original square is the answer.
<u>Step-by-step explanation:</u>
Dilation is a kind of transformation which modifies the image size. The scale factor, otherwise called as scalar factor, means how much smaller or larger the image is. Whether the image is expanding or shrinking, the shape is retained.
In the process of dilation, we have to multiply the proportions of original image by the scale factor to find the size of an image. If the scalar factor is saying 6, then the image is inflated so its sizes are 6 times the original image.