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3 years ago

The opposite angles of a parallelogram have measures of (3x-20) and (x+15). Find x

1 answer:

4 0

ANSWER

The value of x is,

$17.5$

EXPLANATION

We were given that the opposite angles of a parallelogram are

$3x - 20$ and $x + 15$ .

The opposite angles of a parallelogram are equal.

We can write the equation below in x and use to find the value of x.

$3x - 20 = x + 15$

We group like terms to obtain,

$3x - x = 15 + 20$

This implies that,

$2x = 35$

We divide both sides of the equation by 2 to obtain,

$x = 17.5$

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1 year ago

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3 years ago

Lia must work at least 5 hours per week in her family's restaurant for $8 per hour. She also does yard work for $12 per hour. Li

agasfer [191]

Answer:

Step-by-step explanation:

let r= number of hours worked at the restaurant

y=number of work hours in the yard

Maximum number of work per week=r+y ≤ 15

Lia must work at least 5 hours in the restaurant

x ≥ 5

Lia wants to earn at least $120 $8/hr in the restaurant and $12/hr in the yard:

8r + 12y ≥ 120

What is the maximum of hours Lia can work in the restaurant and still make at least 120 hours?

Assume Lia worked all 15 hours in the restaurant

she would earn $8*15hours = $120.

The maximum number of hours she can work in the restaurant is therefore 15 hours

What is the maximum amount of money Lia can earn in a week?

Lia has to work a minimum of 5 hours in the restaurant. She earns more from yard work, so she should devote the rest of her available work hours to yard work.

That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard.

5r+10y

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3 years ago