Victor runs three laps around the track every five minutes to complete the table to show the relationship between the number of laps and time spent running. write your answers in the blank

Step-by-step explanation:

Since, Victor takes 5 minutes to cover number of laps = 3

Relation between the time (t) and number of laps (l) covered shows a proportional relationship.

l ∝ t

l = kt

k =

where k = proportionality constant

For t = 5 minutes and l = 3 laps,

k = = 0.6

Therefore, equation will be,

l = 0.6t

For t = 1 min,

l = 0.6 laps

For l = ≈ 1.2 laps

1.2 = 0.6t

t = 2

For t = 6 min,

l = 0.6(6)

l = 3.6 laps

Therefore, table will be,

Laps              0.6                 3.6          

Time (min)      1            2           6

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°