Answer:
A) Values in the solution set satisfy both inequalities.
B) It is the intersection of two solution sets.
Step-by-step explanation:
We denote intersection as AND.
Take those sets. The intersection is what A and B share.
Answer:
The value of x is 16
Step-by-step explanation:
The angle Bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle
In Δ QPR
∵ QS is the angle bisector
∵ PR is the opposite side
→ By using the rule above
∴ =
∵ PS = x and PQ = 30
∵ PR = 40
∵ RS = PR - PS
∴ RS = 40 - x
∵ RS = 40 - x and RQ = 45
→ Substitute them in the rule above
∴ =
→ By using the cross multiplication
∵ x × 45 = 30 × (40 - x)
∴ 45x = 30(40) - 30(x)
∴ 45x = 1200 - 30x
→ Add 30x to both sides
∵ 45x + 30x = 1200 - 30x + 30x
∴ 75x = 1200
→ Divide both sides by 75
∴ x = 16
∴ The value of x is 16
Given:
circle inscribed in a square.
Side length of the square = diameter of the circle.
Let x side length and diameter.
Area of a square = x²
Area of a circle = πr²
r = radius ; half of the diameter. = x/2
Area of a circle = π * (x/2)² or π (x²/4)
Ratio of the area of the square to the area of the circle
x² : π(x²/4) or x² / πx²/4
x² * 4/πx² = 4/π