Answer:
He served 3/6 of the lemon cake and 2/6 of the marble cake. He served 1 more piece of the lemon cake than marble cake.
Step-by-step explanation:
A third of 6 is 2 and half of six is 3.
Answer:
the answer is D
Step-by-step explanation:
Given:
θ = 60°
Radius = 8 in
To find:
The area of the shaded segment.
Solution:
Vertically opposite angles are congruent.
Angle for the shaded segment = 60°
<u>Area of the sector:</u>


A = 33.5 in²
Area of the sector = 33.5 in²
<u>Area of triangle:</u>


A = 32 in²
Area of the triangle = 32 in²
Area of segment = Area of sector - Area of triangle
= 33.5 in² - 32 in²
= 1.5 in²
The area of the shaded segment is 1.5 square inches.
Answer:
a) (x, y) = (1, 7)
Step-by-step explanation:
Let be the following system of inequalties:


We can find the right option by evaluating each option in the system of inequalities:
a) (x, y) = (1, 7)


Then,
(TRUE)
(FALSE)
(1, 7) is not a solution of the system of inequalities.
b) (x, y) = (1, -7)


Then,
(TRUE)
(TRUE)
(1, -7) is a solution of the system of inequalities.
c) (x, y) = (1, -5)


Then,
(TRUE)
(TRUE)
(1, -5) is a solution of the system of inequalities.
d) (x, y) = (-1, 6)


Then,
(TRUE)
(TRUE)
(-1, 6) is a solution of the system of inequalties.
Therefore, we conclude that correct answer is A.