AB and BC are tangent to circle D. Find x if AB=3x+2 and BC=x+12. Find x.

AB And BC Are Tangent To Circle D. Find X If AB=3x+2 And BC=x+12. Find X.

Answers

Answer 1
from any point outside the circle only two equally long tangent lines can be drawn to a circle.
so set the to lengths as equally and solve x from there
so that the answer is 3x+2=x+12
Answer 2

Answer:

The value for x will be 5.

Step-by-step explanation:

As the segment AB and BC are tangent to the circle D, it will have the same long. Due to segment longitude is written as function of the variable x, it requires  to solve the following equation:

[tex]long(AB)= 3x+2= long(BC)= x+12[/tex]  

[tex]3x+2=x+12[/tex]  

[tex]3x-x= 12-2[/tex]  

[tex]2x= 10[/tex]  

[tex]x= 5[/tex]


Related Questions

Factor the GCF first and then factor the trinomial: 2x2 + 20x + 50
A. 2(x + 5)(x + 5)
B. 2(x + 5)(x + 10)
C. 2(x + 2)(x + 25)
D. prime Factor the GCF first and then factor the trinomial: 2x2 + 20x + 50
A. 2(x + 5)(x + 5)
B. 2(x + 5)(x + 10)
C. 2(x + 2)(x + 25)
D. prime

Answers

B, do the inverse of FOIL or u can just simply check by factor it out out multiply out all of the answers
So here is the answer to the given trinomial above.
2x^2+20x+50=2(x^2+10x+25) Now, let's factor,x^2+10x+25 Since it is a perfect square, then it has the form (a+b)^2=(a+b)(a+b) == a^2+2ab+b^2

Taking a=x and b=5: (x+5)^2 = (x+5)(x+5)=x^2 + 2∗5∗x+5^2 Therefore: 2x^2+20x+50 = 2(x^2+10x+25)= 2(x+5)^2 = 2(x+5)(x+5)
So the final answer would be option A. 2(x + 5)(x + 5)
I hope this answers the question. Let me know if you need more help next time.

what is 999 divided by 3

Answers

999 divided by 3 is 333

There are 35 students going to the zoo each vans can hold 6 students how many vans are needed

Answers

The students will need 6 vans to all ride to the zoo.

Will calculators or computers be needed to perform some calculations?

Answers

I think the answer would be no. We create computers so we can do the problems ourselves. maybe eventually the asnwer will be yes, but for now i think they just solve equations quicker than the average human brain. hope this helps!

Answer:

yes

Step-by-step explanation:

When performing certain statistical calculations, finding roots, or working with powers, calculators or computers are necessary for the calculations; otherwise, more traditional methods will be sufficient.

Erica bought 3 1/2 yards of fabric. If she uses 2/3 of the fabric to make a curtain, how much will she have left?

Answers

Final answer:

Erica will have 1 1/6 yards of fabric left after using 2/3 of the 3 1/2 yards she purchased to make a curtain.

Explanation:

The student's question is about how much fabric Erica will have left after using 2/3 of the 3 1/2 yards she bought to make a curtain. To solve this problem, we first need to convert the mixed number of yards of fabric to an improper fraction. We start by multiplying the whole number, 3, by the denominator of the fraction, 2, and then adding the numerator, 1. This gives us (3 × 2) + 1 equals 7, so Erica has 7/2 yards of fabric.

Next, we determine how much fabric she uses by multiplying 7/2 yards by 2/3. Doing the multiplication, (7/2) × (2/3), we can cancel out the common factor of 2 to simplify the calculation. The result is 7/3 yards of fabric used for the curtain.

To find out how much fabric is left, we subtract the used fabric from the total amount Erica originally had, which is 7/2 yards. So, we calculate 7/2 - 7/3 yards. To subtract these fractions, they need to have a common denominator. Multiplying 7/2 by 3/3 and 7/3 by 2/2 gives us equivalent fractions with a common denominator of 6. We now have (21/6) - (14/6) yards, and subtracting these gives us 7/6 yards of fabric remaining. This can also be represented as 1 1/6 yards, which is how much Erica will have left after making the curtain.

Write the decimal 0.063 as a percent. Answer choices: 0.0063 0.063 0.63 6.3 MY ANSWER: 0.063

Answers

The answer would be 6.3%.

This is because the 6 is in the tenths column and the 3 is in the hundredths column and to get a percentage from a decimal you have to times by 100.

So 0.5 becomes 50% because it has moved two places ( multiplied by 100)

The decimal 0.063 can be represented as 6.3% in the percent form.

Thus, option (D) is correct.

Given decimal: 0.063.

As, to convert any decimal into the percentage then multiply the the decimal with 100.

So, to convert 0.063 to a percent multiply it by 100:

= 0.063 x 100

= 6.3

Therefore, 0.063 as a percent is 6.3%.

Thus, option (D) is correct.

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Which is the largest religion in india? zoroastrianism hinduism daoism judaism?

Answers

i'm pretty sure it's hinduism

What is 7/50 in decimal form?

Answers

The answer to this question would be 0.14.

Hope this helps!

Comment if you have any questions!!!
the answer is 0.14 because if you do 7 divided 50 you get 0.14

Please help 3 questions will Upvote
1.Write the equation of a line with a slope of 3 and a y-intercept of 1.

y = x + 3
y = 3x + 1
3x + y = 1
x + 3y = 1
2.Write the equation of the line that passes through (1, 3) and has a slope of 2 in point-slope form.

y – 1 = 2(x – 3)
y – 3 = 2(x – 1)
x – 1 = 2(y – 3)
x – 3 = 2(y – 1)
3.Write the equation of the line that passes through (–2, 6) and (2, 14) in slope-intercept form.

y = 2x – 2
y = 2x + 10
y = 0.5x + 7
y = 0.5x – 4

Answers

1. Y=3x+1
2.y-3=2(x-1)

Line segment AB has a length of 4 units. It is translated 2 units to the right on a coordinate plane to obtain line segment A'B'. What is the length of A'B'?

Answers

The length of the line segment is 4 units since the translation doesn't effect the length.
hope this helped

Answer:

it 2 units

Step-by-step explanation:

what is the area of a park that is 100 yards square?

Answers

like 100^2 or one hundred yards on each side?

If the park is a square, 100 yd on each side, then the area is 100yd x 100yd = 10,000 yd^2.

Multiply. (x – 4)(x2 – 3x + 5) ...?

Answers

Answer:

Answer is

[tex]x^3-7x^2+17x-20 \\ [/tex]

Step-by-step explanation:

We need to find

[tex](x-4)(x^2-3x+5) \\ [/tex]

Using distribution rule.

[tex](x-4)(x^2-3x+5)=x^3-4x^2-3x^2+12x+5x-20\\\\(x-4)(x^2-3x+5)=x^3-7x^2+17x-20 \\ [/tex]

So the answer is

[tex]x^3-7x^2+17x-20 \\ [/tex]

jill sold half her comic books then bought 16 more she now has 36 how many did she start with? help me plz ...?

Answers

Alright! In order to solve this you have to work backwards. So, you know her end total is 36. And to get to that she bought 16 books. So:

36 - 16 = 20.

So, after she sold half her books she had 20. To find how many she started with you do the opposite of dividing by 2, multiplying by 2. So:

20 x 2 = 40.

She started with 40 books.

carl is paid $10 plus $8 an hour he was paid $66 how many hours did he work?

Answers

10+8h=66
minus 10 both sides
8h=56
divide both sides by 8
h=7
worked 7 hours
To solve this question you need to make an equation including each variable: the extra $10, the $8 per hour (we'll represent hours as h) and the total amount of money, $66. Then simply solve the equation to get your final answer.

10 + 8h = 66
8h = 56 Subtract 10 from both sides
h = 7 Divide both sides by 8

In other words, he worked 7 hours. 



1) The data in the table below represents the pressure of the gas as the temperature changes. Plot a graph of the data, using the space below. Draw a trend line and calculate its slope. How are the variables related? What will he pressure of the gas be at 0C?

the graph looks like this
Temperature Pressure
10 723
25 763
40 800
55 845
80 900

Answers

Answer:

The pressure of the gas 0°C is about 699.

Step-by-step explanation:

The given table of values is

Temperature      Pressure

     10                      723

     25                     763

     40                     800

     55                     845

     80                      900

The general form of a trend line is

[tex]y=a+bx[/tex]

where, b is slope and a is y-intercept.

[tex]b=\frac{\sum_{i=1}^nx_iy_i-n\overline{x}\overline{y}}{\sum_{i=1}^nx_i^2-n\overline{x}^2}[/tex]

[tex]a=\overline{y}-b\overline{x}[/tex]

Using graphing calculator, we get

[tex]a=699.006826[/tex]

[tex]b=2.552218[/tex]

The equation of line of best bit is

[tex]y = 2.552218x + 699.006826[/tex]

where, y is pressure at x°C.

We need to find the pressure of the gas at 0°C.

Substitute x=0 in the above equation.

[tex]y = 2.552218(0) + 699.006826[/tex]

[tex]y =699.006826[/tex]

[tex]y \approx 699[/tex]

Therefore the pressure of the gas 0°C is about 699.

The function c(x)=35x+75 r

Answers

If the repair took 5 hours, the total cost would be $250.

To find the total cost if the repair took 5 hours, we need to evaluate the function[tex]\(C(x)\) at \(x = 5\).[/tex]

Given that [tex]\(C(x) = 35x + 75\),[/tex] we substitute [tex]\(x = 5\)[/tex] into the function:

[tex]\[C(5) = 35 \times 5 + 75\]\[C(5) = 175 + 75\]\[C(5) = 250\][/tex]

So, if the repair took 5 hours, the total cost would be $250.

Complete correct question:

The function C(x) = 35x + 75 represents the labor cost (in dollars) for Bob's Auto Repair to replace our alternator, where x is the number of hours of labor. What would be the total cost if the repair took 5 hours?

So here is a theoretical question. Let L1 and L2 be linear transformation from a vector space V into Vector space W. Let {v1,v2,....,vn} be a basis for V. Show that if L1(vi)=L2(vi) for i=1,2,....,n then L1(v)=L2(v) for any v in V. ...?

Answers

if v belongs to V, then we can find scalars a1,a2,...,an, such that v=a1*v1+a2*v2+...+an*vn, L1(v)=L1(a1*v1+a2*v2+...+an*vn) =a1*L1(v1)+a2*L1(v2)+...+an*L1(vn) =a1*L2(v1)+a2*L2(v2)+...+an*L2(vn) =L2(a1*v1+a2*v2+...+an*vn) =L2(v)

Ariel wants to write 8 entries for her blog. After 2 hours, she has 5 entries left. After 4 hours, she has 2 entries left. Which graph represents Ariel's remaining entries?

graph of line going through (0, 0) with a slope of 1.5

graph of line going through (0, 2) with a slope of 2

graph of line going through (0, 8) with a slope of 1.5

graph of line going through (0, 3) with a slope of 3

Answers

after 2 hours she wrote 3 entries.
after 4 hours she wrote 6 entries.
This means that for same period she is writing same number of entries which means her "writing speed" is constant.
that means that graph is linear function (straight line).

slope we calculate by putting coordinates of y and x of any dot on that line. we can use one of those given by text of task. (in 2 hours she wrote 3 entries)
y = k*x
k = y/x
k = 1.5

Answer:

Graph of line going through (0, 8) with a slope of 1.5  represents Ariel's remaining entries

Step-by-step explanation:

Ariel wants to write 8 entries for her blog.

After 2 hours, she has 5 entries left. [tex](x_1,y_1)=(2,5)[/tex]

After 4 hours, she has 2 entries left. [tex](x_2,y_2)=(4,2)[/tex]

So, now using two point slope form:

[tex]y-y_1=m(x-x_1)[/tex] ---1

where [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

So , substituting the given points we get the equation that represents the given situation .

[tex]m = \frac{2-5}{4-2}[/tex]

[tex]m = \frac{-3}{2}[/tex]

[tex]m = -1.5[/tex]

Now,

[tex]y-5 = -1.5(x-2)[/tex]

[tex]y-5 = -1.5x+3[/tex]

Thus the slope of the given situation is 1.5

Now at x = 0

[tex]y-5 = -1.5*0+3[/tex]

[tex]y=8[/tex]

So, at 0 hour 8 entries left .

So, graph of line going through (0, 8) with a slope of 1.5  represents Ariel's remaining entries


Question 1: Describe how you would use the distributive property to simplify (39 x 5). Question 2: Your best friend tells you the solution of 375 = x - 28 is 347. Explain your best friend's error.

Answers

39 x 5 = (30 x 5) + (9 x 5) = 150 + 45 = 195



He did not change the sign of operation when 28 crossed the equals sign.

Marcus solved for x in the quadratic equation x2 – 10x + 25 = 0.

Answers

1 ,3 and 4 are correct :)

Answer:

Option 1,3 and 4 are correct.

Step-by-step explanation:

Given is a quadratic equation

[tex]x^2-10x+25=0[/tex]

Marcus used quadratic formula to solve this

The correct use of formula is

[tex]\frac{-b+/\sqrt{b^2-4ac} }{2a}[/tex]

for the quadratic equation [tex]ax^2+bx+c=0[/tex]

Comparing we have a =1, b =-10: c=25

The student should have substituted -10 for b but he wrong did only 10

II option is wrong since 2 is substituted correctly

III option is right -4ac i.e. the product x 4 must have been subtracted

IV option is right since repeated root is there so only one solution

Straight-line depreciation is a method of calculating an asset’s value by subtracting its salvage value from its acquisition or purchase price divided by the estimated useful life of the asset. suppose a manufacturing robot cost $1.5 million in 2005 and is sold in 2010 for $50,000. what is the linear equation representing the value of the robot?

Answers

1500000-50000/5years=290000

Answer:

Linear equation is V(t) = 1500 - 290t

Step-by-step explanation:

To find the linear equation representing the value of the robot we will calculate per year depreciation in the cost of the robot.

Rate of depreciation = [tex]\frac{\text{(Manufacturing cost in 2005-selling price in 2010)}}{5}[/tex]

                                 = [tex]\frac{[(1.5)(10^{6})-50000]}{5}[/tex]

                                 = [tex]\frac{(1500000-50000)}{5}[/tex]

                                 = [tex]\frac{1450000}{5}=290000[/tex]

If depreciation is represented by V(t) (in $000) then equation will be

V(t) = 1500 - 290t

                               

What is the result of isolating y2 in the equation below?

(x - 2)^2 + y2 = 64

A. y2 = -x2 + 4x + 60
B. y2 = -x2 + 4x + 4
C. y2 = 64 - x2
D. y2 = x2 + 4x + 60

Answers

I hope this helps you

Answer with explanation:

The given equation which represents a circle having center at, (2,0) and radius =8 is,

 [tex](x - 2)^2 + y^2 = 64\\\\y^2=64 - (x-2)^2\\\\y^2=64 - (x^2-4 x +4)\\\\ y^2=64 -x^2+4 x-4\\\\y^2=60+4 x-x^2[/tex]

Result  of isolating y² in the equation below, gives

   Option A

            [tex]y^2=60+4 x-x^2[/tex]

1,119.85 is estimate to what number

Answers

1,120 is the estimate

A highway makes an angle of 6 with the horizontal. This angle is maintained for a horizontal distance of 5 miles.
To the nearest hundredth of a mile, how high does the highway rise in this 5-mile section? Show the steps you use to find the distance.

Answers

1) Draw a right triangle with these measures:

angle with the horizontal: 6 degress
horizontal segment: 5
height: x

2) Definition of tangent : tan(6°) = opposite leg / adjacent leg = x / 5 =>

3) Solve for

x = 5tan(6°) = 0.53 miles

Answer: 0.53 miles

Within a specific stretch spanning 5 miles, the roadway inclines approximately 0.53 miles or 2771.64 feet, rounded to the nearest hundredth of a mile.

Trigonometric principles aid in determining the elevation gained by the highway over this distance.

Given:

An angle of ascent (θ) of 6 degrees and a horizontal distance (adjacent side) of 5 miles, our objective is to ascertain the vertical distance (opposite side).

Utilizing the tangent function in trigonometry:

[tex]\[ \tan(\theta) = \frac{{\text{{opposite}}}}{{\text{{adjacent}}}} \][/tex]

[tex]\[ \tan(6^\circ) = \frac{{\text{{height}}}}{{5}} \][/tex]

The calculation for the height is:

height = 5 × tan(6°)

Plugging in the values:

height ≈ 5 × 0.1051

height ≈ 0.5255 miles

To convert this to feet (1 mile = 5280 feet):

height ≈ 0.5255 × 5280  

height ≈ 2771.64 feet

Thus, within this 5-mile segment, the roadway ascends approximately 0.53 miles or 2771.64 feet, rounded to the nearest hundredth of a mile.

What is the converse of the following true conditional? If the converse is true, rewrite the statements as a bioconditional. If either is false, give a counter example. If two lines are parallel, they do not intersect

Answers

the original statement is true!
the converse: If 2 lines do not intersect, they are parallel
the converse is false, the lines could be skew. 
Hope this helped :)
Final answer:

The converse of the statement 'If two lines are parallel, they do not intersect' is 'If two lines do not intersect, they are parallel', which is false. A counterexample to this converse is skew lines that do not intersect but are not parallel. Thus, we can't write both statements as a biconditional

Explanation:

The subject of your question is regarding conditional statements and their converses in mathematics. A conditional statement is often expressed in the form: 'If p, then q', where p is a hypothesis and q is a conclusion. The converse of a conditional statement switches the hypothesis and the conclusion, i.e., 'If q, then p'.

In the context of your question, the conditional statement given is 'If two lines are parallel, they do not intersect'. The converse of this statement is 'If two lines do not intersect, they are parallel'. However, this converse is not true. A counterexample can be two lines that do not intersect but are not parallel because they are skew lines, which exist in three dimensions and do not lie in the same plane. Thus, the statements can't be written as a biconditional as one is not a valid conditional.

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Which is the better buy, 6 bagels for $3.29 or 8 bagels for $4.15?

Answers

Well, we'd want to calculate the price of 1 bagel first.

To see which is better: divide $3.29 by 6 and then divide $4.15 by 8 and see which has the lowest answer.

The first option rounds off to $0.55 for one bagel. The second option rounds off to $0.52 for one bagel.

The second option is the best.

Which of the following changes gives no evidence that a chemical reaction has taken place?
A cube of solid forms a puddle of liquid.
A certain liquid is added to a solid, and bubbles of gas form.
Two liquids are mixed, and a precipitate forms.
Heating a blue solid turns the solid white.

Answers

i think the correct answer for this is 
a cube of solid forms a puddle of liquid 
but i am no sure it's correct or no

Glenn has a beginning balance of $840 in his checking account. He has a deposit of $375 and withdraws $250 from the ATM. If the ATM fee is $3, what is his new balance?

$718

$212

$962

$572

Answers

Yeah it is 962 because 840+375=1215
1215-250=965
965-3=962   If you needed work 

The manager of a convenience store wishes to determine how many cartons of eggs are damaged in shipment and delivery. For ten shipments of 1000 cartons of eggs, she examines every 50th carton to see how many cartons contain cracked eggs.
How large is the sample?

a.200 cartons

b.the 50th carton

c.1000 cartons

d.cannot determine from this information

Answers

You just have to figure out how many cartons are examined per shipment and then you can just multiply by 10. For every 100 cartons, 2 are examined for damage. If we examine 1000 cartons (100 x 10 cartons) then we examine 20 cartons (2 x 10 cartons). Now, there are 10 shipments and since each shipment has 1000 cartons and we examine 20 cartons per shipment we simply multiply the number of cartons examined per shipment (20 cartons) by the number of shipments (10 cartons).

Answer:

Option a is correct

200 cartons is the sample size

Step-by-step explanation:

As per the statement:

For ten shipments of 1000 cartons of eggs, she examines every 50th carton to see how many cartons contain cracked eggs.

First examine how many cartons are examined per shipment.

For every 50th cartons, 1 are examined

For every 100th cartons, 2 are examined

then;

For 1000 cartons , we have 20 are examined.

Examined per shipment  = 20 cartons

We have to find how large is the sample.

Since, there are total 10 shipment

then;

For 10 shipment, we have

[tex]20 \times 10 = 200[/tex] cartons

Therefore, 200 cartons  is the sample size

ryan makes 6 backpacks he uses 3/4 of cloth to make each backpack what is the total amount cloth ,in yards ryan use to make all 6 backpacks

Answers

you just multiply 6 times 3/4, .75, or 75%.

6 times .75 = 4.50 yards

Answer:

Ryan use 4. 50 yards of cloth to make 6 backpack.

Step-by-step explanation:

Given : ryan makes 6 backpacks he uses 3/4 of cloth to make each backpack.

To find  : what is the total amount cloth ,in yards ryan use to make all 6 backpacks.

Solution : We have given that

Ryan make a backpack to use =  [tex]\frac{3}{4}[/tex] of a cloth.

Ryan make such 6 backpack = [tex]6*\frac{3}{4}[/tex]

                                                =   [tex]\frac{18}{4}[/tex] .

                                               = 4. 50 yards.

Therefore, Ryan use 4. 50 yards of cloth to make 6 backpack.

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When deciding how much to save, people care most about after-tax nominal interest rates. after-tax real interest rates. before-tax real interest rates. before-tax nominal interest rates.? A small settlement formed along the Indus River following the Neolithic Revolution. As the settlement grew, people began to specialize at certain jobs and develop advanced technology. What other development does the settlement need to be considered a civilization? A.Man-made borders B.Absolute monarchy C.Complex social institutions D.A large territory to rulei think A but im not so sure Which of the following is a part of the cell theory?a. All cells contain a nucleusb. Organs are the basic units of lifec. New cells arise spontaneously on their ownd. New cells are produced from existing cells2. When using a light microscope to view a cell she obtained from scraping under her fingernails, Mrs.Wolfinger notices that the cell lacks a nucleus; therefore, Mrs. Wolfinger concludes that the cell must be atype of ______ cell.a. Animalb. Prokaryoticc. Eukaryoticd. Plant3. The organelle responsible for breaking down and recycling macromolecules is calleda. mitochondriab. lysosomec. ribosomed. cytoskeleton4. The solid purple arrow is pointing to a cell organelle that is responsible for storing the DNA. What is thename of this organelle?a. Golgi apparatusb. Endoplasmic reticulumc. Nucleusd. Ribosome5. The dashed blue arrow is pointing to a collection of tiny organelles that are responsible for makingproteins. What is the name of this organelle?a. Golgi apparatusb. Endoplasmic reticulumc. Nucleusd. Ribosome8. In osmosis, water moves across a membrane from a solution ofa. Low concentration to a solution of high concentration until both solutions are isotonicb. 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I started out as magma down in the earths What is 40.53 ounces converted to liters? The radius of a cylindrical water tank is 5.5ft, and its height is 8ft. What is the volume of the tank? Use the value 3.14 for , and round your answer to the nearest whole number.Be sure to include the correct unit in your answer. What do the ecosystems of a puddle, lake, river, jungle, mountain-top grassland, and deep-sea vent have in common?A. They are defined by their abiotic factors only.B. They are defined by their biotic factors and abiotic factors.C. Energy never leaves the system once it enters.D. They are defined by their biotic factors only. What is the axis of symmetry of the function f(x) =-(x+9)(x-21) which of the following is NOT a developer of an atomic model?A-DaltonB-PlanckC-Rutherford What is the subject in the sentence her cousin lives near a waterfall? What does grass likely symbolize in these lines from the poem? A child said What is the grass? fetching it to me with full hands; How could I answer the child? I do not know what it is any more than he. I guess it must be the flag of my disposition, out of hopeful green stuff woven. (from "A child said, What is the grass" by Walt Whitman) Bonnie and Bobby are saving money for vacation. Bonnie has $12 and saves $4 per week. Bonnie made a table to show how much she saves in a given week.Bobby has $4 and saves $12 per week.Bobby wrote an equation to determine how much he saves in a given week.y=12x+4After saving for a certain number of weeks, Bonnie and Bobby will have each saved the same amount of money. How much money will they have each saved then? What did an artist have to do to become part of the guild?a.A panel of Master artists had to approve the painting.b.The artist had to paint a piece in front a panel for approval.c.Receive an examination of a masterpiece that could achieve master status.d.All of the above Simplify. 24A 38B 212C 26D 46 what is symbolism for the Book hatchet