Answer:
209 cm²
Step-by-step explanation:
This composite figure consist of two figures.
(1) Rectangle with length = 11 cm and width = 16 cm.
(2) Triangle on the top of the rectangle with base = 11 cm and height = 6 cm.
Area of the rectangle = length × width
= 11 × 16
= 176 cm²
Area of the triangle = 
= 
= 33 cm²
Total area = 176 + 33
= 209 cm²
Angle 1 = 4x - 16
angle 2 = 2x + 10
4x - 16 + 2x + 10 = 90
combine like terms
6x - 6 = 90
add 6 to both sides
6x = 96
divide both sides by 6
x = 16
angle 1 = 4x - 16 = 4(16) - 16 = 48
angle 2 = 2x + 10 = 2(16) + 10 = 42
Answer: she uses 2 eggs for one batch of brownies and 4 eggs for one batch of cookies.
Step-by-step explanation:
Let x represent the number of eggs that she uses for one batch of brownies.
Let y represent the number of eggs that she uses for one batch of cookies.
Last month, she made 2 batches of brownies and 3 batches of cookies. This means that
2x + 3y = 16 - - - - - - - - - -1
The month before, she baked 1 batch of brownies and 1 batch of cookies, which required a total of 6 eggs. This means that
x + y = 6 - - - - - - - - - - - - - 2
Multiplying equation 1 by 1 and equation 2 by 2, it becomes
2x + 3y = 16
2x + 2y = 12
Subtracting, it becomes
y = 4
Substituting y = 4 into equation 2, it becomes
x + 4 = 6
x = 6 - 4 = 2
