According to the picture, you can assume that angle X is congruent to angle Y due to their triangle shape. Here is the work:
1. Set the equations equal to one another: 4x-8 = 2x
2. Move the variables to get the "x" values on one side: 2x = 8
3. Divide by 2 to get "x": x = 4
4. Plug in "x" into the Angle X equation: 4(4)-8 = angle x....16-8....8
Angle X is 8 degrees. Hope this helped :)
H = 2f / (m+1)
[multiply by (m+1)]
h(m+1) = 2f
[divide by 2]
f = (h (m + 1)) / 2
3b / (b+2) = 12 / (b+2)
[multiply by (b+2)]
3b = 12
[divide by 3]
b = 4
3 / (6x + 1) / 2 = 8 / (x + 4) / 3
[multiply both denominators to mike one denominator]
3 / 8(6x+1) = 8 / 3(x+4)
[expand brackets]
3 / (48x + 8) = 8 / (3x + 12)
[multiply by (48x + 8)]
3 = 8(48x + 8) / (3x+12)
[multiply by (3x+12)]
3(3x +12) = 4(48x + 8)
[simplify]
9x + 36 = 192x + 32
173x = 4
x = 4 / 173
Answer:
The equation of the line is: y=2x + 3
Answer:
14. m = 7/8
15 x =63
16. y= 21/2
Step-by-step explanation:
14. 7 16
---- = --------
m 2
using cross products
7 * 2 = 16 * m
14 = 16m
divide by 16
14/16 = m
simplifiy
7/8 =m
14. x 14
---- = --------
18 4
using cross products
4 * x = 18 * 14
4x = 252
divide by 4
4x/4 = 252/4
x = 63
15. 30 y
---- = --------
20 7
using cross products
30*7 = 20 y
210 = 20 y
divide by 20
210/20 =y
21/2 = y
Answer:
D. k(x)=x²+7
Step-by-step explanation:
f(x)=x² + 5
y=mx+c
since it is not moved horizontally the x and slope(m) will remain the same but the 2 will be added to the intercept(c) which is 5 to become seven
