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.

Raisins in a scoop of each brand of raisin bran cereal if the mean of the data set is 7 raisins find the number of reasons in each scoop of great4u?

40 cm = how many m ?

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I need help with this problem too

I need help plz
I will give you 50 points if it is right

Which name does NOT appear to describe this quadrilateral?
a.square
b. trapezoid
c. rhombus
d. parallelogram


Please select the best answer from the choices provided

A
B
C
D

A rental car company offers the following two pricing methods for its customers to choose from for a one-month rental:
Method 1: Pay $400 for the month, or

Method 2: Pay $0.30 per mile plus a standard maintenance fee of $35.



Construct a linear function that models the relationship between the miles driven and the total rental cost for Method 2. Let represent the number of miles driven and represent the rental cost (in dollars).



Complete the equation below



y = _______________


Use x as your variable.

Greg needs to practice his clarinet for 40 minutes per day. He already practiced 30% of the total time needed. How many more minutes does he need to practice?

Determine whether a linear, quadratic, or exponential function is the best model for the data in the table.

An exponential function has the equation y = (0.5)^x-1. Four points from a different function as shown in the table. For what values of x will two functions be equal?

Find the area of the composite polygon below if each square unit has a length of 1 unit.


A: 99 units

B: 56 units

C: 143 units

D: 127 units

A store is advertising a sale with 15% off all prices in the store. Sales tax is 8%. Which equation will correctly determine the total cost, C, of buying an item with an original price of p, after the discount and sales tax are included? Select all that apply. A )C= 1.08p - 0.15p
B )C = 1.15p + 0.08p C
C) = 1.08(0.85p)
D)C=0.85p + (0.08)0.85p
E )C-p - 0.15p + 0.08p​

The table shows Linda's monthly expenses . Which list shows the expenses in order from greatest to least amount of the monthly budget?

TABLE:
Utilities: 13%
Rent: 43/100
Food: 1/10
Car: 27%
Other: 0.07

ANSWERS:
A: other, food, utilities, car, rent
B) rent, car, utilities, food, other
C: food, other, utilities, car, rent
D: car, rent, food other utilities

Can someone help me
PQR is similar to XYZ

The figure is made up of a semicircle and a triangle. Find the perimeter. Round your answer to the nearest hundredth. 25 ft 7 ft 24 ft The perimeter is about feet​

The box plot below shows the total amount of time, in minutes, the students of a class surf the Internet every day:

A box plot is shown. The left-most point on the plot is 20 and the right-most point is 95. The box is labeled 40 on the left edge and 60 on the right edge. A vertical line is drawn inside the rectangle at the point 50.


Part A: List two pieces of information that are provided by the graph and one piece of information that is not provided by the graph.

Part B: Calculate the interquartile range of the data, and explain in a sentence or two what it represents.

Part C: Explain what affect, if any, there will be if an outlier is present.

evaluate the expression 81 minus 8 to the second power. 81 minus 8 to the second power

The circumference of a circular garden is 128.74 feet. What is the diameter of the garden? Use 3.14 and do not round your answer.

Write the solution to the equation as a decimal. 2x = 3

Francisco is playing a game with 3 green, 2 yellow, 4 red, and 3 black marbles in a bag. He has calculated the probability of drawing a yellow marble, not replacing it, and then drawing a red marble. Explain the error in his solution.

(StartFraction 2 over 12 EndFraction) (StartFraction 4 over 12 EndFraction) = StartFraction 8 over 144 EndFraction

pls help!

1) 4w - 34 = 2
2) p/8 - 7 = -6
3) 11 + r/9 = 4
4) 18 = 5h - 2
5) -1m + 14 =-2
Show your work please

No link need right answer 100 points

pls, help thanks! have a nice day

please help i really need this

What is the value of x?

I NEED HELP ASAP PLEASE HELP ME!! NO LINKS OR I WILL REPORT

Many games involve chance and they usually involved either dice or cards. For this activity, we will look at a common game called 7‐11 where two dice are rolled. If the roll adds up to 7 or 11, the player wins. If the roll adds up to 2, 3, or 12, the player loses. If there is any other sum, it is a draw (no winner or loser). Use this two‐dice roll scenario to complete the problems below.

1. Create a tree diagram to determine all the possible outcomes of rolling two dice.

please help I will appreciate it

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
-------------------------------------------------------------------------------------------------------
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
------------------------------------------------------------------------------------------------
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What is the value of x?