Jayden used the multiplication table below to determine that 8:14 is equivalent to 24:42. A multiplication table.

Which statement explains why Jayden’s reasoning is correct?
The ratio 8:14 is 4:7 times 2, and the ratio 24:42 is 4:7 times 6.
The terms 8 and 14 are multiples of 2, and the terms 24 and 42 are also multiples of 2 when the table is extended.
The term 24 is a multiple of the term 8, and the terms 14 and 42 are multiples of 7.
The ratio 8:14 is equivalent to 2:7, and the ratio 24:42 is also equivalent to 2:7.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9

current in the circuit at time t is /, then the power delivered to the resistor is

step-by-step explanation:

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.