The line is not in slope intercept form, so you need to get y by itself
15x -3y = 90
Subtract 15x
-3y = -15x + 90
Divide by -3
y = 5x -30
So, the slope (x) is 5/1.
I hope that helps!
21. <DBE and <ABE are both equal halves of <ABD, so in this case, m<ABE = m<DBE, so all you have to do is solve the equation:
6x + 2 = 8x - 14
add 14 to both sides, subtract 6x from both sides.
16 = 2x
Divide both sides by two. The solution is x = 8. To find m<ABE, replace x with 2, so your final answer is 14. m<ABE = 14
22. From what we know from 21, m<ABE = m<EBD, so keep that in mind. We still have to solve for m<EBD. Since one line is 180 degrees, we are able to write out this equation using the information given:
180 = 9x - 1 (m<ABE) + 9x - 1 (m<EBD) + 24x + 14 (m<DBC)
simplify this:
180 = 12 + 42x
subtract 12 from both sides, then divide by 42.
4 = x
Now we plug this in.
4 × 9 = 36. 36 - 1 = 35.
m<EBD = 35
23. From the past two equations, we know m<ABE consistently equals m<EBD. This means that, if they are bisectors of a right angle, they both equal 45 degrees. here is our equation:
45 = 13x - 7.
we add seven to both sides and divide by 13.
4 = x
(8r+3s)(8r-3s) dont have working but noticed that it is the difference of two squares
The answer is C I think I may have done math wrong but that’s what I got
Let, the number of weeks = x
It would be: 17 + 11x ≥ 72
Subtract 17 from both sides,
11x ≥ 55
Divide by 11,
x ≥ 5
So, at-least he needs 5 weeks for that
Hope this helps!
