Matty jogs 9 km/hr. Identify the correct conversion factor setup required to compute Matty's speed in m/s. O

9km

1hr

1000m

9km

Xomin

1hr1min

60s

60

9km

1hr

1000m

9km

1hr

60min

60s

1min

1000m

9km

1hr

1min

60min

60s

2.5 m/s

Step-by-step explanation:

Matty's speed = 9 km/hr

We need to convert 9 km/hr to m/s

We know that,

1 km = 1000 m

1 hour = 3600 seconds

So, Matty jogs with the speed of 2.5 m/s.

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°