The graph shows the height of a plant over time. What is the unit rate?

unit rate = 1 / 5 = 0.2 inches per day

Step-by-step explanation:

The unit rate is the ratio that describes how one quantity changes as the other changes.You can find a unit rate from a graph the same way you find the slope.

1. Choose two points on the graph to find the slope

- (0,0) and (5,1)

  x₁ y₁        x₂ y₂  

2. Slope = y₂ - y₁ / x₂ - x₁   (This is essentially the change in y-coordinates divided by the change in x-coordinates.

unit rate = y₂ - y₁ / x₂ - x₁

unit rate = 1 - 0 / 5 - 0

unit rate = 1 / 5 = 0.2 inches per day

A) 1/5

Step-by-step explanation:

In the graph, the plant grows 1 inch every 5 days. In other words, the plant grows 1/5 inch every day. Therefore, the unit rate is 1/5.

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°