Answer:
About 936 are girls
Step-by-step explanation:
Take the fraction 3/7, since that is the remaining proportion of students that are girls, and multiply it by 2184.
Given the word problem, we can deduce the following information:
1. The ratio of the two complementary angles is 3:7.
To determine the measures of both angles, we must note first that complementary angles are two angles whose measures add up to 90°. So our equation would be:
We simplify the equation above:
We plug in x=9 into 3x to get the first angle:
Angle 1 = 3x = 3(9) = 27
Then, we plug in x=9 into 7x to get Angle 2:
Angle 2= 7x=7(9)=63
Therefore, the measures of both angles are 27° and 63°.
Answer:
C
Step-by-step explanation:
Slope of UV = 0 = Slope of XW
So UV is parallel to XW.
Slope of UX = [6-(-4)]/[-7-(-3)] = -5/2
Slope of VW = [6-(-4)]/(0-4) = -5/2
Slope of UX = Slope of VW i.e. UX is parallel to VW.
It is a parallelogram because opposite sides are parallel.
Use FOIL and simply, First times First, Outside times Outside, Inside times Inside, Last times Last.
(3x+5)(4x-1)
3x * 4x = 12x²
3x * -1 = -3x
5 * 4x = 20x
5 * -1 = -5
12x² - 3x + 20x - 5
Now simplify by adding -3x to 20x and get:
12x² + 17x - 5