Answer:
132 mm^2
Step-by-step explanation:
The line added to the figure in the attachment shows it can be divided into two figures whose area is easily calculated.
1. A parallelogram of base length 20 mm and height 4 mm:
A = bh = (20 mm)(4 mm) = 80 mm^2
2. A trapezoid with bases 32 mm and 20 mm, and height 2 mm:
A = (1/2)(b1 +b2)h = (1/2)(32 mm +20 mm)(2 mm) = 52 mm^2
The total area of the figure is then ...
80 mm^2 +52 mm^2 = 132 mm^2
<h3>How to fill the frequency tree?</h3>
The number of girls = total number of students - total number of boys
60 - 36 = 24
The number of boys that study French = 2/3 x 36 = 24
The numbber of boys that study German = 36 - 24 = 12
The number of girls that study French = 40 - 24 = 16
The number of girls that study German = 24 - 16 = 8
Please find attached the frequency tree. To learn more about addition, please check: brainly.com/question/349488
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Answer:
x = 2
Step-by-step explanation:
The left side would be (3x - 12)
The right side would be (-4x+2)
In an equation, 3x - 12 = -4x+2
Combine all the letters on the left and plain numbers on the right,
3x + 4x = 12 + 2
Note: When you transfer to the other side of the equal sign, the number will change its sign.
Simplify the 3x + 4x = 12 + 2,
7x = 14
x = 2