Can someone please help with those. press the picture for all

proportional relationship does not exist.

proportional relationship does exist.

proportional relationship does not exist.

proportional relationship does exist.

Step-by-step explanation:

To establish proportionality :

For data 1:

y α x

y = kx ; k = proportionality constant

Take x = 1 ; y = 5

5 = k

k = 5

Hence, to obtain other data points :

y = 5x (if data is proportional ; if otherwise, the data isn't proportional).

Take ; x = 2

y = 5* 2 = 10

10 ≠ 9

Hence, data isn't proportional.

2.)

Data 2:

y α x

y = kx ; k = proportionality constant

Take x = hours 2 ; y = miles = 110

110 = 2k

k = 110/2

k = 55

Take ; x = 5

y = 55*5 = 275

275 = 275 (proportional relationship exist)

3.)

For the graph:

First graph isn't proportional

4 = 2k ; k = 4/2 = 2 ; k = 2

At x = 6

y = 6*2 = 12

From graph ; y = 8 at x = 6

Hence, proportional relationship does not exist.

4.)

For the 2nd graph:

4 = 2k ; k = 4/2 = 2 ; k = 2

At x = 6

y = 6*2 = 12

From graph ; y = 12 at x = 6

Hence, proportional relationship does exist.

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.

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°