Will give Brain list:)

a. Constant of proportionality, k = 1/45

b. hours/miles

c. t = d/45

Step-by-step explanation:

From the table given, we see that time (hours) increases as distance (miles) increases. We say that time, t varies directly as distance, d

And it is written mathematically as

t α d

t = kd (1)

to use the constant of proportionality, k to write a unit rate for the data in the table.

From equation (1), we make k subject of formula

k = t/d

t is in hours and d is in miles, so we can write that

k = hours/miles.

hours/miles is the unit rate for the data

when t = 2, d = 90.

We substitute these values for t = 2, d = 90 into the equation labelled (1)

t = kd

2 = k90

We divide both sides of the equation by the coefficient of k

2/90 = 90k/90

k = 1/45

k = 1/45 is the constant of proportionality.

We then substitute this value of k = 1/45 into equation (1)

t = kd

t = d/45

t = d/45 is the equation to represent the relationship between time t and distance d

hey there!

12 is twice as much as 6 because 6 goes into 12 2 times.

since the rabbit is twice as tall, we should multiply the weight of the first rabbit, 0.25, by 2.

0.25 x 2 = 0.5

therefore, the 12 inch chocolate rabbit weighs 0.5 lb, or half a pound.

hope this !

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°