Answer:
After the reflection over the line y = -x, the image of the point is: (-3,-2)
Step-by-step explanation:
When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.
Let (x,y) be a point on the plane
and
y = -x be a line on the plane
When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated
So (x,y) will become (-y,-x)
Given point is:
(2,3)
After the reflection over the line y = -x, the image of the point is: (-3,-2)
Answer:
These two figures are similar because
equals 
Step-by-step explanation:
The figures will be similar if their ratios of the two sides are equal. So we need to check the ratios of the figures to see if they are similar or not.
For the smaller figure the ratio is
, and for the bigger figure the ratio is
which upon simplification reduces to
.
So we see that the ratios are equal. Thus the figures are similar.
150/15=10
because 10 times 15 equals 150
3 digit dividend = 150
divisor between 10 and 20 is 15
1 gallon is equal to 16 cups.
Since Chase made 2 gallons of soup, multiply 16 x 2.
Chase made 32 cups of soup.
If he served 15 cups of soup to his guests, he will have 17 cups of soup left over, because 32 - 15 = 17.