Answer:
19. x = 65
20. x = 12
21. x = 35, y = 85
Step-by-step explanation:
19. 2x -10 = 120
2x (-10 + 10) = (120 +10)
2x/2 = 130/2
x = 65
20. 2x + 4x + 108 = 180
6x + (108 - 108) = (180 - 108)
6x/6 = 72/6
x = 12
21. 2x + 25 = 3x - 10
2x + (25 - 25) = 3x (- 10 - 25)
(2x - 3x) = (3x - 3x) - 35
-x/-1 = -35/-1
x = 35
3x - 10 + y = 180
3(35) - 10 + y = 180
105 - 10 + y = 180
(95 - 95) + y = (180 - 95)
y = 85
Answer:
x = 25
Step-by-step explanation:
Here's my work. Basically, I knew that the x in angle A is alternate interior to angle C, so they would both be x. the 50 degrees is one a 180 degree line, so the inside of the triangle DCB is 130. X must equal x, so they would both be 25 degrees.
Answer: Approximately 52.87 cm.
Step-by-step explanation:
Circumference is diameter times pie to divide the circumference by pie.
166/3.14 use 3.14 as an approximation for pie.
166/3.14 = 52.87 rounded to the nearest hundredth
X + 3y = 7
x = -3y + 7
2x + 4y = 8
2(-3y + 7) + 4y = 8
-6y + 14 + 4y = 8
-2y = 8 - 14
-2y = - 6
y = -6/-2
y = 3
x + 3y = 7
x + 3(3) = 7
x + 9 = 7
x = 7 - 9
x = -2
solution is (-2,3)
FIRST. find the factors:
X=-5 --> (X + 5) = 0
x = 1--> (X - 1) = 0
x =3 --> (x - 3) = 0
3
NEXT, multiply all the factors:
(x + 5) (x - 1) (x - 3) = 0
-> X3 + x2 - 17x +15 = 0
-> f(x) = x3 + x2 - 17x +15 or
y=x3 + x2
17x + 15