Answer:
Step-by-step explanation:
12x - 3 = 180 - (7x - 26) supplementary angles
19x = 209
x = 11
m∠DEC = 12(11) - 3 = 129°
m∠BCE = 7(11) - 26 = 51°
M∠ADE = 129 - 72 = 57° exterior angle rule
m∠EDB = 180 - 57 = 123° supplementary angles
m∠DBC = 57° corresponding angle to ADE
Answer: 8x
2.9543127e+21xy
9x
Step-by-step explanation:
4x^2=16x 28x=28x 36=36 16x+28x-36 16+28=44-36=8x
125x^6= 30517578125x 27y^15= 2.9543127e+21 30517578125x-2.9543127e+21= 2.9543127e+21xy
4-7=3+x=3x 5-8=3+x=3x 3x * 3x= 9x
Based on the docx you showed me, the equation for the parabola is

and you want a table of values for a linear equation that intersects the parabola at (5, 6) and (-2, 34).
If you use these two points to create a line we get the equation:

(I just used point slope form)
This can be simplified to:

Now we just need to create a table of points on this line. We already have the points you gave and we can also use the y-intercept:

and the x-intercept:

.
So our table of value can be:
x | y
______|________
-2 | 34
0 | 242 / 7
5 | 6
121/20 | 0
805 thousandths in a decimal form is 0.805.
Alright.
So let's say the number of adults is x.
Therefore, the number of boys is 7x + 1.
And then the total amount of girls is 3.5x + 0.5
So then:
x + 7x + 1 + 3.5x + 0.5 = 82
11.5x + 1.5 = 82
11.5x = 80.5
x = 7
So now we can figure out the number of male and female students.
Male students = 7x + 1
7*7 + 1
49 + 1
50
Male Students = 50
Female students = half of 50
50/2 = 25
Female Students = 25