1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
elena-14-01-66 [18.8K]
3 years ago
10

5. solve for x

Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0

Answer:

x = 17, MN = 11

Step-by-step explanation:

Given 2 secants from an external point to a circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.

(5)

7(7 + x) = 8(8 + 13) = 8 × 21 = 168 ( divide both sides by 7 )

7 + x = 24 ( subtract 7 from both sides )

x = 17

(6)

9(9 + 2x - 7) = 10(10 + 8)

9(2x + 2) = 10 × 18 = 180 ( divide both sides by 9 )

2x + 2 = 20 ( subtract 2 from both sides )

2x = 18 ( divide both sides by 2 )

x = 9

Then

MN = 2x - 7 = 2(9) - 7 = 18 - 7 = 11

You might be interested in
The model represents a polynomial of the form ax2 + bx + c. Which equation is represented by the model?
Maru [420]

Consider the given table.

  • The first row represents first term (first brackets):

                                +x+x+x-1=3x-1

  • The first column represents second term (second brackets):

                                +x-1=x-1

  • The product of (3x-1) and (x-1) is equal to the sum of all remaining terms in this table:

                               +x²+x²+x²-x-x-x-x+1=3x²-4x+1.

Therefore, 3x²-4x+1=(3x-1)(x-1).

Answer: correct choice is C.

5 0
3 years ago
Read 2 more answers
How many Dimes and Quarters
8_murik_8 [283]

Answer:

Julian has <em>16 dimes</em> and <em>6 quarters</em>

Step-by-step explanation:

Let's suppose Julian has q quarters and d dimes

The total coins are 22, that is

q+d=22

q=22-d   [1]

The total amount of money he has is 310 cents which are made of 10d dimes and 25q quarters

10d+25q=310

Simplifying by 5

2d+5q=62

Using the relation [1]

2d+5(22-d)=62

2d+110-5d=62

3d=48 => d=16

q=22-16 = 6

So Julian has 16 dimes and 6 quarters

5 0
4 years ago
Pls help me
aivan3 [116]
The and answer is going to be 3 because when you multiply 5 and 3 you get 15
3 0
3 years ago
The diagram shows a square ABCD
Alex17521 [72]
Maybe şt can be happen but ım not sure 26
4 0
3 years ago
5.62x0.7x1.35 helppp quickkk plsss
laila [671]

Answer:

5.3109

Step-by-step explanation:

5.62 x 0.7 is equal to 3.934, and this multiplied by 1.35 is equal to 5.3109.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Look at each expression. Is it equivalent to "the quotient of 10 plus x and y minus 3"?
    9·1 answer
  • The area of a square garden is 200 m^2. How long is the diagonal?
    14·1 answer
  • May I have help on b. and can someone tell me if a is right?
    12·2 answers
  • In the diagram, what is the measure of angle 1 to the nearest degree?
    10·2 answers
  • The price of an item has been reduced by 20% . The original price was $95 . What is the price of the item now?
    6·1 answer
  • Please answer in complete sentences. Fully answer all questions. A community sponsored a charity square dance where admission wa
    8·1 answer
  • 1/2 + 1/5 fraction model pls help!
    10·2 answers
  • The safety officers of a mining company take an SRS of 500500500 employees and finds that 15\, percent of the sampled employees
    13·1 answer
  • 50 PTS!!A right triangle has a leg measuring 16in. And 28in.
    6·2 answers
  • An equivalent ratio to the tape diagram shown is <br> to pls i need a answer
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!