All categories

2 years ago

Solve For X (see picture below) thank you!

Mathematics

1 answer:

Dmitriy789 [7]2 years ago

6 0

Answer:

x = 6

Step-by-step explanation:

If two secants are drawn from a point outside the circle, then the product of the lengths of one secant and its external segment equals the product of the lengths of the other secant and its external segment

Let us solve the question.

∵ There is a circle in the given figure

∵ There are two secants intersected at a point outside the circle

∵ The length of one of them = 8

∵ The length of its external segment = x

∵ The length of the other secant = 4 + 8 = 12

∵ The length of its external segment = 4

→ By using the rule above

∴ 8 × x = 12 × 4

∴ 8x = 48

→ Divide both sides by 8

∴ x = 6

You might be interested in

A man shares a $1,200,00 inheritance between his 3 sons in ratio 1: 3: 6. Calculate the difference between the largest share and

soldi70 [24.7K]

A man's inheritance money = $1200

Given :

He shared his inheritance between his 3 sons in the ratio 1:3:6

Then, the money the first son got :

$= \tt \frac{1}{10} \: of \: 1200$

$=\tt \frac{1}{10} \times 1200$

$=\tt \frac{1 \times 120}{10}$

$= \tt \frac{1200}{10}$

$\color{plum} =\tt\$ \: 120$

▪︎Thus, the first son inherited $120.

Money the second son got :

$= \tt \frac{3}{10} \: of \: 1200$

$= \tt \frac{3}{10} \times 1200$

$=\tt \frac{3 \times 1200}{10}$

$= \tt \frac{3600}{10}$

$\color{plum} =\tt \$360$

▪︎Thus, the second son inherited $360.

Money the third son got :

$=\tt \frac{6}{10} \: of \: 1200$

$=\tt \frac{6}{10} \times 1200$

$= \tt \frac{6 \times 1200}{10}$

$= \tt \frac{7200}{10}$

$\color{plum} = \tt\$720$

▪︎Thus, the third son inherited $720.

We know that :

The largest share = $720

The smallest share = $120

Difference between the largest and smallest share :

$= \tt720 - 120$

$\color{hotpink}\tt = 600$

<h3> ●=> Therefore :</h3>

▪︎The difference between the largest and smallest share = 600

7 0

2 years ago

Determine the ordered pair that satisfies the equation, 2x - 8y = -9.

Mama L [17]

You need another equation, other wise x can be anything, and y can be infinitely different solutions.

8 0

3 years ago

Fill in the blanks a ---÷48=-1

agasfer [191]

Ans is -48.

Hope this will help u..

4 0

3 years ago

Read 2 more answers

19-x is greater than or equal to 21

Sedaia [141]

Could you possibly add to this post what your goal is? Are you supposed to graph this inequality?

19-x≥21 can be solved for x. Please do that now. If you have the skill and the interest, please graph your solution.

8 0

3 years ago

Consider the diagram.

adelina 88 [10]

Answer:

skew.

Step-by-step explanation:

Lines e and c are skew lines.

Reason:

They do not intersect with each other.

They are in different planes.

They are nor parallel to one another....

4 0

3 years ago

Read 2 more answers