Answer:
x > -8
Step-by-step explanation:
Divide both sides by -3 to get x by itself. Dividing by a negative number will switch the less-than symbol to a greater-than symbol. -3x ÷ -3 = x and 24 ÷ -3 = -8. When you put it all together, you get x > -8
Answer:
The value of x is 9.
Step-by-step explanation:
55°
(3 x + 23)
75°
The sum of all the angles of triangle is 180°.
55 + 3 x + 23 + 75 = 180
3 x = 27
x = 9
So, the value of x is 9.
Answer: perimeter = 70.54 cm
Step-by-step explanation:
Perimeter of a shape is the distance around it.
Perimeter of the arc of the bigger semicircle is
π × r
= 3.14 × 7 = 21.98 cm
Perimeter of the arc of the smaller semicircle(handle) is
π × r
= 3.14 × 3 = 9.42 cm
Perimeter of the arc of the smallest semicircle(inner part of the handle) is
π × r
= 3.14 × 1 = 3.14 cm
Therefore, the perimeter of the shape would be
21.98 + 9.42 + 3.14 + 7 + 7 + 10 + 10 + 2 = 70.54 cm
as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.