Answer:
A) 
Step-by-step explanation:
Point-slope formula.
Given.
Slope (m) = 3
Points (x, y) = (2, 1)
D) EFGH moved onto E'F'G'H after rotating 180 counterclockwise around the origin and the reflecting across the y-axis.
<h3>How to carry out transformations?</h3>
From online resources gotten about this question, for quadrilateral EFGH and quadrilateral E'F'G'H to be congruent, what we must do first is to rotate 180° counterclockwise around the origin and then move EFGH onto E'F'G'H'.
The last step to get this proof of congruency is to reflect across the y-axis.
Read more about transformations at; brainly.com/question/4289712
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Answer:
There were 26 students in his class and the teacher had 83 ml of the solution.
Step-by-step explanation:
Mr. Kohl has a "x" amount of solution, if he divides it by the number of students "n" he'll give each student 3 milliliters and have a left over of 5 milliliters. If the amount of solution Mr. Kohl had was "x + 21" then he'd be able to give each student 4 milliliters of the solution. From these informations we have:
x = 3*n + 5
(x + 21)/n = 4
x + 21 = 4*n
x = 4*n - 21
Now that we have two equations and two variables we can solve the system of equations, as seen bellow:
3*n + 5 = 4*n - 21
3*n - 4*n = -21 - 5
-n = -26
n = 26
x = 4*26 - 21 = 83 ml
There were 26 students in his class and the teacher had 83 ml of the solution.
Since 1/6 of the day was spent in the flower bed and 2/3 of that was spreading mulch, we need to find 2/3 of 1/6 to find out how much of the day was spreading the mulch.
In math "of" means times
"is" means equals
2/3 of 1/6 is
translates to
2/3 x 1/6 =
Now we just multiply the numerators across and denominators across then reduce if possible...
2/3 x 1/6 = 2/18
2 and 18 both divide by 2 so it reduces
2/18 = 1/9
Tom spent 1/9 of the day spreading mulch.
