Find the value of x - this is circle segments.

Find The Value Of X - This Is Circle Segments.

Answers

Answer 1

Given:

Diagram of a circle and its two secant from an exterior point.

To find:

The value of x.

Solution:

We know that, If two secant are on a circle from an exterior point, then the products of measure of secants and measure of external segments of secants are equal.

Using the above property, we get

[tex](x+7)x=(2+2)2[/tex]

[tex]x^2+7x=(4)2[/tex]

[tex]x^2+7x=8[/tex]

[tex]x^2+7x-8=0[/tex]

Splitting the middle term, we get

[tex]x^2+8x-x-8=0[/tex]

[tex]x(x+8)-1(x+8)=0[/tex]

[tex](x+8)(x-1)=0[/tex]

Using zero product property, we get

[tex](x+8)=0[/tex] and [tex](x-1)=0[/tex]

[tex]x=-8[/tex] and [tex]x=1[/tex]

Side cannot be negative.

Therefore, the only possible value of x is 1.


Related Questions

CAN SOMEONE HELP ME!!!

Answers

Answer:

4 option

Step-by-step explanation:  because they are 2 zeros so 1 and 2 wont work  and theere are 6 2 so 3 wont work so 4 is the answer

It would be the fourth one!!

What is the surface area of this rectangular prism?

Answers

Answer:

the exact answer is 250m2

Step-by-step explplanation:

3*7=21

21*2=42

13*2=26

13*7= 91

91*2=182

182+26+42 = 250m3

Someone please help me?! (Theoretical Compound Probability)

Answers

8 out of 40

12 out of 20

3 out of 10

5 out of 20

Mike is making a large pizza for dinner. He needs to cover the pizza with cheese. The pizza has a 28 inch diameter. How many square inches of cheese is needed to cover the whole pizza? Use 3.14 for Pi

Answers

615.44 square inches
615.44 is your answer

There are 9,075 trees in Memorial Park. If there are 726 trees per acre, there are __ acres in the park.

Answers

Answer:

12  i think

Step-by-step explanation:

hope it helps

Answer:

12.5 acres

Step-by-step explanation:

21 is less than w+6 solve the inequality for w

Answers

Step-by-step explanation:

21<w+6

honestly I think im wrong because I didn't really get the question, sorry

Answer:

15 < w

Step-by-step explanation:

We are given the expression "21 is less than w + 6" and are asked to solve this inequality for "w".

To do so, we first need to create the actual inequality, if 21 is less than w + 6, then the sign we should use is the less than sign (<).

21 < w + 6

Now we solve for w, which is by isolating w :

21 < w + 6

Subtract 6 from both sides :

15 < w

Can someone please help me with this question the instructions are to use a calculator to find the perimeter (the solid lines and curves) of each figure. The perimeter of each semicircle can be found by using the equation 1/2 pi d (the place where I put the words pi has the pi symbol, and d is just a variable. Also use 3.14 as pi, and the top part is cut off a little bit, but it still counts as a full semi circle. Please help me.

Answers

Answer:

34

Step-by-step explanation:

multiply n divide

At a football stadium, 25% of the fans in attendance were teenagers. If there were 190 teenagers at the football stadium, what was the total number of people at the stadium?

Answers

The answer to problem is 760.
760.......................

can you help me plsssssss

Answers

Answer:

60.16

Step-by-step explanation:

Don't really know how to explain this other than use a calculator.

Hope that this helps!

I WILL GIVE BRAINLIEST!!

Answers

Answer: 53.86 ft^2

Step-by-step explanation:

the area of the square is 100 ft^2

(a^2)

and then the area of the circle is

3.14 x 7^2 = 153.86 ft^2

153.86 - 100 = 53.86 ft^2

Answer:

53.86 ft^2

Step-by-step explanation:

Area of Circle - Area of Square = Shaded Region

((3.14)(7)^2)-((10)(10)) = 53.86 ft^2

Jessica rented 1 video game and 3 movies for a total of $11.50.
• The video game cost $4.75 to rent.
• The movies cost the same amount each to rent.
What amount, in dollars, did Jessica pay to rent each movie?

Answers

11.50 - 4.75= 6.75
6.75 divided by 3 which = $2.25
Jessica paid $2.25 for each rent movie.

Naomi asked several classmates how much cash they had in their pocket. She recorded the data below:
$1.50, $5, $9, $2, $0, $22, $4.75, $11.50, $4, $3, $7.50, $5, $0.75, $2.25, $8

a. Use the frequency table to make a histogram.

Answers

Answer:

the answer is $2,883$

Step-by-step explanation:

please helpppppppppppppppp :))))) and show your work

Answers

Answer: The answer is 165

Step-by-step explanation:

Those who will visit the garden more than 3 times in the next month will be those who visit 4, 5, and 6 or more times.

Out of the 75 surveyed, the total number of those are:

= 9 + 12 + 3

= 24

That would give a percentage of:

= 24 / 75

= 32%

This means that the best estimate for those who will visit more than 3 times is 32%.

Out of the total number of 516, that is:

= 32% * 516

= 165 members

hope you do well

The shortest side in the triangle in Exercise 3 is opposite the
angle(s). (number only)

Answers

Answer:

62°

Step-by-step explanation:

180-56= 124

124/2=62°

i agree with them^^ 62

What is the greatest measure of the given data?

Answers

Answer:

3

Step-by-step explanation:

i did the test

please help I will appreciate it

Answers

Answer:

c. no solution

Step-by-step explanation:

i hope this helps :)

Answer:

c

Step-by-step explanation:

they are parallel so they won't intercept. therefore they won't have a solution

The circumference of a round trampoline is 18.84 m. What is the approximate area of the trampoline?

Answers

Step-by-step explanation:

18.84 = 2πr

r = 2.99 round to 3

A = 9π = 28.27

The answer would be 113

Grades on a science test are shown in the box plot below.
Find the correct data that the box plot represents.


A) 78, 81, 89, 75, 76, 91, 100, 63, 80, 87, 91, 95

B) 55, 81, 89, 75, 76, 91, 100, 63, 80, 87, 91, 95

C) 78, 81, 45, 75, 76, 91, 100, 63, 80, 87, 91, 95

D) 78, 81, 89, 75, 76, 91, 100, 63, 80, 87, 91, 110

Answers

I think the answer will be A
The answer for this question i think is a
Hope this helps!

1.There are 4 downs in a series of flag football
1.a true
1.b false
-----------------------------------------------------------------------------------------------------
2.What is the proper technique for pulling an opponent's flag in flag football
2.a watch the ball
2.b focus on the flag
2.c watch the player's feet
-------------------------------------------------------------------------------------------------------
3.You lead with your elbow when throwing a football.
3.a true
3.b false
--------------------------------------------------------------------------------------------------------
4.When receiving the ball in a game of flag football, what is the most important thing to remember?
4.a catch the ball in the chest
4.b keep your hands far apart
4.c watch the ball into your hands
-------------------------------------------------------------------------------------------------------
5.In flag football the main purpose of the defense is to stop the offense from scoring and protect the opponent's end zone.
5.a true
5.b false
--------------------------------------------------------------------------------------------------------
6.Pulling an opponent's flag is an example of a defensive move in flag football
6.a true
6.b false
---------------------------------------------------------------------------------------------------------
7.What shape or cue is used to remind players how to hold their hands for a catch above the waist?
7.a circle
7.b diamond
7.c square
------------------------------------------------------------------------------------------------------
8.An interception is when a offensive player catches a ball thrown by the offense
8.a true
8.d false
-------------------------------------------------------------------------------------------------------
9.When throwing a football, what is the correct placement of your arm during the follow - through ?
9.a by your ear
9.b across your body
9.c on your side
-----------------------------------------------------------------------------------------------------
10.What social benefit does a team member get from participating on a volleyball team
10.a making new friends
10.b improving flexibility
10.c improving grades
----------------------------------------------------------------------------------------------------------
11.In volleyball the spike is most effective in preventing the defense from returning the ball
11.a true
11.b false
--------------------------------------------------------------------------------------------------------
12.In volleyball the dig is a defensive move that can be used to effectively recover a ball that is low to the floor
12.a true
12.b false
----------------------------------------------------------------------------------------------------------
13.Proper form for a bump in volleyball is to swing your arms and wait for the ball to hit them.
13.a true
13.b false
---------------------------------------------------------------------------------------------------
14.In volleyball what issue would cause the ball to go straight up to the ceiling when performing a bump?
14.a arm position and contact
14.b swinging of the arms
14.c keeping your legs straight on contact
-----------------------------------------------------------------------------------------------------
15.soccer and basketball use the act of dribbling to move the ball
15.a true
15.b false
----------------------------------------------------------------------------------------------------------
16.Softball was adapted from which of the following sports?
16.a baseball
16.b tennis
16.c kickball
17.In softball a sacrifice fly is the best offensive strategy with a runner on 3rd base and no outs
17.a true
17.b false
----------------------------------------------------------------------------------------------
18.In softball when batting where do you generate power
18.a step and transfer your body weight
18.b lift weights
18.c swing low
--------------------------------------------------------------------------------------------------
19.Stretching exercises in warm ups increase flexibility
19.a true
19.b false
------------------------------------------------------------------------------------------------
Pls help me

AND

PLS FOLLOW THE RULES

TROLL FOR POINTS= REPORT

FIRST AND CORRECT ANSWER= BRAINLIEST

( NO LINKS ) at all

Answers

Answer:

1) true 2) b 3) a 4) c 5) a 6) a 7)b 8) false 9)c 10) b?? 11)a 12)a 13)b 14)b

Step-by-step explanation:

15)a 16)a 17)a 18)a 19) a


i hope this helped sorry if i got some wrong

which one is correct please help

Answers

Second is reading hope helps

A shipping manager weighed a random sample from a shipment of 90 boxes and made the dot plot below. What is the mode of the dot plot?

I need the answer asap.

Answers

Mode is the number that appears the most often, therefore the answer is 28
하지만 이런 과정에서 일단 타살 가능성이 크다 이런 이야기들이 쏟아질

PLS helped this is a timed question like due for 11:59

Answers

The answers are A and D

Answer: i would think A B and D

The scatter plot shows the temperature in Celsius and the amount of rainfall in centimeters. Using the trend of the scatter plot, how much rain will fall at 40 degrees Celsius?

Answers

The answer is 10 centimeters.

Answer:

is 6 degrees Celsius

which equation best represents the relationship between x and y in the graph

Answers

Answer: A. Y=(-3/4x)-3

2/6 - 7/20 as a proper fraction or mixed number

Answers

Answer:

2/6 - 7/20 is -1/60 in fraction form.

Answer: 2/6 − 7/20 = −1/60

Solution with Steps:

(2/6 ×10/10) − (7/20 × 3/3)

=

20/60 - 21/60

=

-1/60

Felicity plans to go to community college for two years and then transfer to a four year college for two more years to complete her degree tution for one year at community college is about $4,730 tution for one year at a four year college is about $11,640 how much should she plan to pay for tution in all

Answers

in all she will pay around $32,740

In the figure, line m is parallel to line n. The measure of angle 2 is 40 degrees and the measure of angle 3 is 68 degrees. What is the measure of angle 5?
Explain how you found the answer using the relationships of angles.

Answers

Answer:

∠1 - 40°

Step-by-step explanation:

∠1 - 40°

b/c it's a right triangle and we have two angles given, 50° and 90°. Add them and subtract by 180° and get 40°.

∠2 - 140°

b/c an exterior (outside) angle is equal to the two most isolated / farthest angles added. The two most is angles are 105° and 35°, add them and get 140°.

∠3 - 40°

b/c ∠'s 1 and 3 are vertical angles meaning they're equal so since ∠1 is 40°, so is ∠3.

∠4 -

b/c ∠' s 2 and 4 are vertical angles meaning they're equal so since ∠2 is 140°, so is ∠4.

∠5 - 35°

b/c we have two angles, 105° and 40°. Add them and subtract by 180° and get 35°.

hope that helps lol >:)

Linda is training for a half marathon. She ran
3 3/4 miles Monday, 3 miles Tuesday, and 2 1/2
miles Wednesday. How many miles did she
run in those three days?

Answers

3 3/4+3+2 1/2= 7 1/4

Please help! I need it now!

Answers

Answer:

1. triangular

2. triangles

3. rectangles

4. rectangular

5. rectangles

6. number of faces = 6

   number of edges = 12

   number of vertices = 8

7. number of faces = 5

   number of edges = 9

   number of vertices = 6

8. number of faces = 7

   number of edges = 15

   number of vertices = 10

9. triangular

10. triangles

11. square

12. square

13. triangles

14. number of faces = 6

    number of edges = 10

    number of vertices = 6

15. number of faces = 7

    number of edges = 12

    number of vertices = 7

16. cube

17. square pyramid

18. triangular pyramid

19. triangular prism

20. rectangular prism

Number one is triangular

PLEASE SHOW WORKK PLZZZZ HELLPPPP:))

Answers

a) Range = 6
b) = 9 boys
c) = 4 boys
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