Let’s make 2:3 is the same as 8:12. This means that there are 12 girls in the home room.
volume=length x width x height
length=3, width=2, height=5
so you just multiply 3x2x5 to get 30
Four sided figure is a quadrilateral
Answer:
Step-by-step explanation:
Since J is the midpoint of HK, then HJ=JK and 3x+5=9x-3 solve for x
6x=8 x=8/6=4/3 so HJ=3x+5=3(4/3)+5=9 = JK HK=2(9)=18
the full segment HK is 18, each half of it is 9 =HJ=JK
AREA OF A RECTANGLE IS 42 UNITS
Rectangle: Triangle:
A = L * W A = hb / 2
A = (x-8) * 6 A = (7(x-3)) / 2
A = 6x - 48 A = (7x - 21) / 2
Since the problem states that both rectangle and triangle have the same area.Then:
6x - 48 = (7x - 21) / 2
1) Eliminate the denominator 2 by multiplying both sides by 2.
2 * (6x - 48) = 2 * ((7x - 21) / 2)
12 x - 96 = 7x - 21
Find x. Transfer like numbers and change their signs.
12x - 7x = 96 - 21
5x = 75
5x / 5 = 75 / 5
x = 15
Substitute x by its value:
Rectangle: Triangle
A = (x-8) * 6 - A = (7(x-3)) / 2 Areas of both Rectangle
A = (15 -8 ) * 6 A = (7(15-3)) / 2 and Triangle is the same.
A = 7 * 6 A = (7 * 12) / 2
A = 42 units A = 84 / 2
A = 42 units
