Answer:
4. w = 31
5. x = 50
Step-by-step explanation:
To find the values of variable w and x in the given triangles above, recall that the sum of angles in a triangle = 180°.
Therefore,
==>w° + w° + (4w - 6)° = 180°
Solve for w
w + w + 4w - 6 = 180
6w - 6 = 180
Add 6 from both sides
6w = 180 + 6
6w = 186
Divide both sides by 6
w = 186/6
w = 31
==>Also, x° + x° + (x + 30)° = 180
x + x + x + 30 = 180
3x + 30 = 180
Subtract 30 from both sides
3x = 180 - 30
3x = 150
Divide both sides by 3
x = 150/3
x = 50
Answer:
D, or the last graph.
Step-by-step explanation:
I got it right when I was doing the assignment :)
Answer:
3.8E-6
Step-by-step explanation:
Answer:
The radius of the circle is 3 units. TRUE
The center of the circle lies on the x-axis. TRUE
The center of the circle lies on the y-axis. FALSE
The standard form of the equation is (x – 1)² + y² = 3. FALSE
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9. TRUE
Step-by-step explanation:
x² + y² - 2x - 8 = 0
x² - 2x + y² = 8
Complete the square in x.
x² - 2x + 1 + y² = 9
(x - 1)² + y² = 3²
Center: (1, 0); radius: 3
The radius of the circle is 3 units. TRUE
The center of the circle lies on the x-axis. TRUE
The center of the circle lies on the y-axis. FALSE
The standard form of the equation is (x – 1)² + y² = 3. FALSE
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9. TRUE