Find the value of x - this is circle segments.

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.

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

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

I WILL GIVE BRAINLIEST!!

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?

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

CAN SOMEONE HELP ME!!!

What is the greatest measure of the given data?

PLEASE SHOW WORKK PLZZZZ HELLPPPP:))

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

please help I will appreciate it

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.

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

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.

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

which one is correct please help

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.

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

can you help me plsssssss

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.

Please help! I need it now!

1.There are 4 downs in a series of flag football
1.a true
1.b false
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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
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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
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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
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6.Pulling an opponent's flag is an example of a defensive move in flag football
6.a true
6.b false
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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
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8.An interception is when a offensive player catches a ball thrown by the offense
8.a true
8.d false
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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
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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
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11.In volleyball the spike is most effective in preventing the defense from returning the ball
11.a true
11.b false
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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
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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
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15.soccer and basketball use the act of dribbling to move the ball
15.a true
15.b false
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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
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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
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19.Stretching exercises in warm ups increase flexibility
19.a true
19.b false
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Pls help me

AND

PLS FOLLOW THE RULES

TROLL FOR POINTS= REPORT

FIRST AND CORRECT ANSWER= BRAINLIEST

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What is the surface area of this rectangular prism?

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?

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?

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

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

Someone please help me?! (Theoretical Compound Probability)

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?

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

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