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2 years ago

How do you solve this?

Mathematics

1 answer:

navik [9.2K]2 years ago

7 0

Answer:

Step-by-step explanation:

Since you know that JK + KL = JL, this would be:

27 + 3x - 1 = 5x + 2

Now, solve this equation:

combine like terms first

$26+3x=5x+2$

subtract 3x from both sides

$26 = 2x+2$

subtract 2 from both sides

$24 = 2x$

divide both sides by 2

$12 = x, x= 12$

Since you want to find JL and JL = 5x + 2, plug x = 12 into that equation.

$JL = 5* 12 + 2\\JL = 60 + 2\\JL = 62$

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3 years ago

Read 2 more answers

1. A chord is 22 cm long. It is 60 cm from the center of the circle.

mezya [45]

Answer:

Radius, r = 61 cm

Step-by-step explanation:

According to the attached figure, we have,

Length of chord, AB = 22 cm

Such that, AP = PB = 11 cm

OP = 60 cm

It is required to find the radius of the circle. We know that radius of a circle is perpendicular to chord. So, APO forms a right angled triangle. Using Pythagoras theorem to find the radius of circle. Let it is r. So,

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3 years ago

A movie theater charges $10 for adults and $6 for seniors. On a particular day when 357 people paid in admission, the total rece

olganol [36]

Answer:

Step-by-step explanation:

Determine the types of tickets involved.

There are student tickets and adult tickets.

Create a table to organize the information.

Type

Number

Value ($)

Total Value ($)

Student

Adult

506

Step 2. Identify what you are looking for.

We are looking for the number of student and adult tickets.

Step 3. Name. Represent the number of each type of ticket using variables.

We know the number of adult tickets sold was

less than three times the number of student tickets sold.

Let

be the number of student tickets.

Then

−

is the number of adult tickets.

Multiply the number times the value to get the total value of each type of ticket.

Type

Number

Value ($)

Total Value ($)

Student

Adult

−

(

−

)

506

Step 4. Translate: Write the equation by adding the total values of each type of ticket.

(

−

)

1506

Step 5. Solve the equation.

−

1506

−

1506

1551

students

Substitute to find the number of adults.

−

number of adults

(

)

−

136

adults

Step 6. Check. There were

student tickets at

each and

136

adult tickets at

each. Is the total value

$1506

We find the total value of each type of ticket by multiplying the number of tickets times its value; we then add to get the total value of all the tickets sold.

⋅

282

136

⋅

1224

_____

1506

✓

Step 7. Answer the question. They sold

student tickets and

136

adult tickets.

5 0

3 years ago