Answer: In your problem, you said that they are squared. However, it is not written as squared. We just have to multiply them.
We can use the FOIL method.
(3b - 5c)(3x + 5y)
6bx + 15by - 10cx - 25cy
There are no like terms, so that expression is our final answer.
Answer:
1. 13+18+13+14+13+16+14+21+13
= 145/9
=16.11
2. Range =145
3. Mode =13
4. Median =14
Step-by-step explanation:
Step-by-step explanation:
Absolute value function:
- |x| = x when x >= 0.
- |x| = -x when x < 0.
Swim 3 feet under water => |-3|
Stand 20 feet above => |20|
Using the absolute value function,
we have |-3| = 3 and |20| = 20.
Since 3 is less than 20, |-3| < |20|. (C)
Answer:
Step-by-step explanation:
9) PQR Is an isosceles triangle
=> ∠PRQ = (180° - x)/2
PRS is an isosceles right triangle
=> ∠PRS = 45°
Have: ∠PRS + ∠PRQ = 115°
=> 
=> 180 - x = (115 - 45).2 = 140
<=> x = 180 - 140 = 40
10) ABD is an isosceles right triangle => ∠ABD = 45°
BCD is an equilateral triangle => ∠CBD = 60°
have: x = ∠ABD + ∠CBD = 45° + 60° = 105°
11) have: x = y (2)
PQT is an isosceles triangle => ∠PQT = 180 - 70.2 = 40
QTS is an isosceles triangle => ∠TQS = 180 -2x
QRS is an isosceles triangle => ∠RSQ = y
have: 40 + 180 - 2x + y = 180 => 2x - y = 40 (1)
(1)(2) => 
=> x + y = 80
12) EFJ Is an equilateral triangle => ∠FJE = 60
∠FJE is the outer angle of the triangle FHJ but FHJ is an isosceles triangle
=> 60 = 2.∠JHF => ∠JHF = 30°
∠JHF is the outer angle of the triangle FHG
=> 30° = 2x
<=> x = 15°
Answer:
The equation which expresses the ratio of the circumference to the diameter of a circle is
⇒ D
Step-by-step explanation:
π is the ratio between the circumference of the circle and the length of its diameter
, where
- C is the circumference of the circle
- d is the diameter of the circle
∵ The circumference of the circle is C
∵ The radius of the circle is 15 units
∴ r = 15 units
- Find the diameter of the circle
∵ The diameter of the circle d = 2 r
∴ d = 2(15) = 30 units
∴ The diameter of the circle is 30 units
∵
∵ d = 30 units
∴ 
The equation which expresses the ratio of the circumference to the diameter of a circle is 