Answer:
c.
Step-by-step explanation:
8(2x+3) = 16x + 24
8(2x) + 8(3) = 16x + 24
Answer:
755757
Step-by-step explanation:
Answer:
The measure of angle R is 99° ⇒ Last answer
Step-by-step explanation:
In similar triangles
- Corresponding angles are equal in measures
- Corresponding sides are proportion
∵ Δ MNO is similar to Δ PRQ
∴ m∠M = m∠P
∴ m∠N = m∠R
∴ m∠O = m∠Q
In Δ MNO
∵ m∠M = 23°
∵ m∠O = 58°
- The sum of the measures of the interior angles of a Δ is 180°
∵ m∠M + m∠N + m∠O = 180°
∴ 23 + m∠N + 58 = 180
- Add the like terms in the left hand side
∴ 81 + m∠N = 180
- Subtract 81 from both sides
∴ m∠N = 99°
∵ m∠R = m∠N ⇒ proved up
∴ m∠R = 99°
21 divided by 7 equals 3 and 3 x 7 is 21 the missing factor is 3 and the missing quotient is 21
Answer:
length is 14.4ft and the width is 12.4ft
Step-by-step explanation:
Volume of the aquarium = length * width * height
Given
Volume = 300ft^3
Height = 3feet
l = w+4
Substitute
300 = 3w(w+4)
100 = w(w+4)
100 = w^2+4w
w^2+4w-100 = 0
w = 4±√16+400/2
w =4±√416/2
w = 4±20.4/2
w = 24.4/2
w = 12.2feet
Since l = w+4
l = 12.2+4
l = 16.4ft
hence the length is 14.4ft and the width is 12.4ft
