Joseph earns $15 for every lawn he mows. is the amount of money he earns proportional to the number of lawns he mows? make a table to you identify the relationships

Given that Joseph earns $15 for every lawn he mows.

so if he mows lown 1 time then his earning = $15

if he mows lown 2 time then his earning = $15*2= $30

if he mows lown 3 time then his earning = $15*3= $45

if he mows lown 4 time then his earning = $15*4= $60

if he mows lown 5 time then his earning = $15*5= $75

So the required table will be:

From the table we can see that Joseph's earning increases by $15 each time so we can say that YES, the amount of money he earns proportional to the number of lawns he mows.

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°

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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