Answer:
7.A (5,1)
B(5,7)
8. D (0,6)
Step-by-step explanation:
7. One vertex is at (5,4)
Move 3 units either direction in x
(5-3,4) = (2,4)
(5+3,4) = (8,4)
Or move 3 units in the y direction
(5,4+3) = (5,7)
(5,4-3) = (5,1)
If x is less than 2 or greater than 8 it is too far from the one vertex we are given
If y is less than 1 or greater than 7 it is too far away from the one vertex we are given
C cannot be a vertex since y =9
D is not a vertex since the point is (2,6) and not (2,4) which we know is 3 units away
E is not a vertex since the point is (2,1) and not (2,4) which we know is 3 units away
8. The center is (0,0)
The points have to add to a radius of 6
r^2 = 36
The sum of the x^2 and y^2 = 36
3^2 +0^2 = 9
4^2 +2^2 = 16+4 = 20
5^2 +3^2 = 25+9 = 34
0^2+6^2 =36 yes for D
4^2 +4^2 =16+16 = 32
1^2+5^2 = 26
Answer: Five cats ate 1 and a quarter of cat food.
Step-by-step explanation
Given:-
Cat food ate by one cat = 1/4 cup
Cat food ate by five cats =![5\times \frac{1}{4} \text{ [Multiplying both sides with 5 ]}\\\\=\frac{5}{4}=\frac{4+1}{4}=\frac{4}{4}+\frac{1}{4}=1+\frac{1}{4}](https://tex.z-dn.net/?f=5%5Ctimes%20%5Cfrac%7B1%7D%7B4%7D%20%5Ctext%7B%20%5BMultiplying%20both%20sides%20with%205%20%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B5%7D%7B4%7D%3D%5Cfrac%7B4%2B1%7D%7B4%7D%3D%5Cfrac%7B4%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B4%7D%3D1%2B%5Cfrac%7B1%7D%7B4%7D)
=1 and 1/4 cup.
Therefore cat food ate by five cats = 1 and a quarter of cup.[ here a quarter =1/4]
Answer: C. 90ᴼ
Step-by-step explanation:
This is an equilateral triangle because all three sides are congruent. Equilateral triangles also have 3 congruent angles.
The sum of each angle of a triangle equals 180ᴼ and there are 3 congruent angles.
180 / 3 = 60
Each angle measures 60ᴼ
