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Step-by-step explanation:
Look at the photo below for the details.
15. -6b+2-5b=36+6b
-11b+2=36+6b
-17b+2=36
-17b=34
b=-2
16. 48+32h=-39+3h
48+29h=-39
29h=-87
h=-3
17. -20r+5=-20r+20
5¥20
no solution
18. a+7=7a+21+18-6a
a+7=a+39
7¥39
no solution
19. -8b+24=24-24b
16b+24=24
16b=0
b=0
20. 5a+4=5a-10
4¥-10
no solution
Assuming these two lines are parallel, x=106 as they are corresponding angles, and y=180-106, so y=74.
Answer:
You're correct great job!
Answer:
NF = 25
Step-by-step explanation:
Since ∆NKF ~ ∆LZF, the ratio of their corresponding side lengths would also be the same.
This means that:
KF/ZF = NF/LF
KF = x + 3
ZF = 4
NF = 15 + x + 3 = x + 18
LF = x + 3
Plug in the values into the equation
(x + 3)/4 = (x + 18)/(x + 3)
Cross multiply
(x + 3)(x + 3) = (x + 18)(4)
x² + 3x + 3x + 9 = 4x + 72
x² + 6x + 9 = 4x + 72
x² + 6x + 9 - 4x - 72 = 0
x² + 2x - 63 = 0
Factorize to find x
x² + 9x - 7x - 63 = 0
x(x + 9) -7(x + 9) = 0
(x + 9)(x - 7) = 0
x + 9 = 0 or x - 7 = 0
x = -9 or x = 7
We'd use the positive value of x, which is 7.
Therefore, x = 7.
✅NF = 15 + (x + 3)
Plug in the value of x
NF = 15 + (7 + 3) = 15 + 10
NF = 25
