Answer:
Part A: Angle R is not a right angle.
Part B; Angle GRT' is a right angle.
Step-by-step explanation:
Part A:
From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).
Slope formula
The product of slopes of two perpendicular lines is -1.
Slope of GR is
Slope of RT is
Product of slopes of GR and RT is
Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.
Part B:
If vertex T translated by rule
Then the coordinates of T' are
Slope of RT' is
Product of slopes of GR and RT' is
Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.
The bakery starts a week with 100% quarts of milk.
In the course of the week they use 70%, meaning the remainder is 30% quarts of milk.
Therefore, the remaining quarts are equivalent to 30%
thus, 36 = 30% to get 100% ;
(36/30) ×100 = 120
Therefore, the bakery started the week with 120 quarts of milk
Answer:
6s + 8c ≤ 900
Step-by-step explanation:
let the number of computer stations be c and the number of study cubicles be s
If each computer station takes up 8 square feet, then the total area for c computer stations would be 8 x c = 8c square feet
Similarly, if each study cubicle takes up 6 sq-ft, then the total are for s study cubicles would be 6 x s = 6s square feet
we are given that the library has a maximum of 900 sq-ft. This means that the total area for the study cubicles and the computers cannot exceed 900 sq-ft
phrased another way, the total area of the study cubicles and the computers must be less than or equal to 900 sq-ft
or
6s + 8c ≤ 900
Answer:
112
Step-by-step explanation:
The general form of all percentage questions is: the chunk= (some percentage) (of the whole), or c=p*w
We know that 18% of students are 8th grade and that is 126 students, so p = 0.18 and c=126 (126 students are 18% of the whole school)
126 = (0.18)w, divide both sides by 0.18
126/(0.18) = w = 700
9th graders are 16% of the school or 16% of 700 students
c = (0.16) 700 = 112 students
