Use what you know about tangent lines to circles to solve for x

Use What You Know About Tangent Lines To Circles To Solve For X

Answers

Answer 1
X=5
Since both lines are tanget meaning the only touch the circle once, both sides will be the same we can set up an equation 33=x^2+8 which is 25=x^2 and square root both sides to get 5 equals x

Related Questions

Figure ABCD is a kite. Find the
value of x.
B
A 2x + 10
С
2x
D
x = [?]
Enter

Answers

Answer:

x = 20

Step-by-step explanation:

The diagonals of a kite are perpendicular to each other, so the 4 angles at the  intersection are right.

The sum of the 3 angles in a triangle sum to 180° , then

2x + 2x + 10 + 90 = 180

4x + 100 = 180 ( subtract 100 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

Answer:

20 is the answer

Step-by-step explanation:

Correct for Acellus!

https://imgur.com/a/p0QjLGl

Answers

Answer: what’s the link about ?

From the figure, We can notice that Sum of the angles (∠AKC and ∠AKE) should be equal to 180°

Because ∠AKC and ∠AKE make a Linear Pair

⇒  ∠AKC + ∠AKE = 180°

⇒  5x + 12x + 27 = 180

⇒  17x = 180 - 27

⇒  17x = 153

⇒  x = 9°

⇒  ∠AKE = 12(9) + 27 = (108 + 27) = 135°

Answer : ∠AKE = 135°

Give the inequality -8<2 explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by negative 2

Answers

Answer:

If we multiply both the sides by 2, the inequality signs remains the same.

If we divide both sides by -2, the sign changes.

Step-by-step explanation:

The given inequality is

-8<2

If we multiply both the sides by 2, we get

-8 * 2 < 2*2

-16 < 4

The inequality signs remains the same.

On the other hand if we divide both sides by -2, we get -

-8/-2 < 2/-2

4 > -1

Here the sign changes.

Solve for x and show your work

Answers

Answer:

x = -5

Step-by-step explanation:

50 = x+55

50 - 55 = x

-5 = x

x is a positive integer and 15x - 43 < 5x + 2. Work out the possible values of x.​

Answers

Answer:

x = 1, 2, 3, 4

Step-by-step explanation:

15x - 43 < 5x + 2

15x - 5x - 43 < 2

15x - 5x < 2 + 43

10x < 45

x < 4.5

x = 1, 2, 3, 4

The required value of the x in the given inequality is x < 4.5.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
Given expression,
15x - 43 < 5x + 2

Adding 43 on both sides,
15x < 5x + 45

Subtract 5x from both sides,
10x < 45

Divide the inequality by 10
x < 4.5


Thus, the required value of the x in the given inequality is x < 4.5.

Learn more about inequality here:

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Karl is purchasing a $205,000 home with a 30-year mortgage at 5.5%. Because he is not making a down payment, PMI in the amount of $97.50/month is required for the first 2 years of the loan. Based on this information, what is the total cost of this loan? A. $421,369.20 B. $444,923.03 C. $423,042.96 D.$452,092.10​

Answers

The answer is A ........

The total loan payment is $1,024,050.

What is Mortgage Loan?

Another name for mortgage loans is "loans against property." A mortgage loan can be used to refinance real estate or to buy, build, or remodel a home. Getting a new loan for a piece of property while the old one is still being paid off is referred to as refinancing. Typically, it is done to obtain a loan with better terms.

We have,

The 30-year mortgage loan of $205,000 at 5.5% interest rate

We know, the total cost of this loan can be calculated as

L=LM+PMI

So, LM=$205,000 x (1+0.055[tex])^{30[/tex]

LM=$205,000 x 4.984

LM = $1,021,710

Now, the PMI over 24 months

= $97.5 x 24

= $2,340

So, the total loan payment is:

= $1,021,710 + $2,340

= $1,024,050

Learn more about mortgage loan here:

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X X 7
What is the solution to the equation 3+ 6 = ?
3
OX= 2
7
OX=3
O x= 3
O x=7

Answers

Answer:

x=7

Step-by-step explanation:

x/3 +  x/6 = 7/2

Multiply each side by 6 to clear the fractions

6(x/3 +  x/6) = 7/2 *6

Distribute

2x +x = 21

Combine like terms

3x = 21

Divide by 3

3x/3 = 21/3

x = 7

Answer:

x = 7

Step-by-step explanation:

Given

[tex]\frac{x}{3}[/tex] + [tex]\frac{x}{6}[/tex] = [tex]\frac{7}{2}[/tex] ( multiply through by 6, the LCM of 3,6, 2 to clear the fractions )

2x + x = 21

3x = 21 ( divide both sides by 3 )

x = 7


A sum of money is deposited in a bank which offers a simple interest rate of 0.325% per annum. At
the end of the 4 years, the total amount receives is $50 650. Find the sum of money deposited.

Answers

Answer:

The sum of money deposited is approximately $22,021.74

Step-by-step explanation:

The given interest and amounts of the deposit are outlined as follows;

The simple interest per annum, R = 0.325%

The number of years the money is deposited, T = 4 years

The total amount received (Interest + Initial deposit), A = $50,650

We have;

I = P × R × T

Where;

P = The principal (initial amount deposited)

R = The (annual) interest rate = 0.325%

T = The time = 4 years

Therefore;

The total amount received, A = P + I

P + I = P + P × R × T = P × (1 + R × T)

∴ A = P + I = P × (1 + R × T)

P = A/(1 + R × T)

Plugging in the values, gives;

P = 50,650/(1 + 0.325 × 4) = 506,500/23 ≈ 22,021.74

The sum of money deposited, P = $22,021.74

Pls I need help with thia

Answers

Answer:

6

Step-by-step explanation:

Use Pythagorean Theorem to solve for the missing side:

[tex]a^2+b^2=c^2\\a^2+(7)^2=(\sqrt{85})^2\\a^2+49=85\\a^2=36\\\sqrt{a^2} =\sqrt{36}\\a=6[/tex]

I need help please!!!!!!!!!!!!!!

Answers

According to my calculations it’s $51.04

Answer:

Step-by-step explanation:

Liz earnings per hour = $ 9.28

Liz earnings for 5.5 hours = 9.28 * 5.5

                                          = $ 51.04

Help needed!!! Will give 20 points!!!

Answers

Answer:

1st answer

Step-by-step explanation:

[tex]f(g(x)) = f(4x)=(4x)^2-8(4x)+4\\=16x^2-32x+4[/tex]

If the 12th term of the arithmetic sequence is 15 and the 11th term is 10, find the common difference of the sequence.​

Answers

Answer:

12? 10 + d = 15 so d = 5.

Step-by-step explanation:

Answer:

d = 5

Step-by-step explanation:

The common difference d is the difference between consecutive terms, then

d = a₁₂ - a₁₁ = 15 - 10 = 5

Please help if you can!

Answers

Answer:

D: 78 ft2    

Step-by-step explanation:

6x13=78

Answer:

Rectangle

Result

Area = l × w

= 13 × 6

= 78 feet2

Step-by-step explanation:

#Brainliestbunch

Which of the following shows the correct order of the given numbers?

1, 1, 1.6

Answers

1.6, 1, 1 because 1.6 is more than one so it is bigger.

Find c Round to the nearest tenth 27 201 28 c=?cm

Answers

Answer:

[tex]56.3[/tex]

Step-by-step explanation:

The Law of Sines works for any triangle and is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] (the ratio of any angle and its opposite side is equal to the ratio of all other angles and their respective opposite sides).

Thus, we have:

[tex]\frac{\sin 28^{\circ}}{27}=\frac{\sin 102^{\circ}}{c},\\c=\frac{27\sin 102^{\circ}}{\sin 28^{\circ}}=56.2547070223\approx \boxed{56.3}[/tex]

At Shimla, the temperature was -14°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Shimla on Tuesday?

Answers

Answer:

-14-2= -16

I hope it helps :)

Help?,?,?,?.!.??.?.?.?.?.?.

Answers

Answer:

Step-by-step explanation:

b(a + 1) + a = b*a + b + a = ab + b + a

1) b(2a +1 ) = b*2a + b*1 = 2ab + b  Not equivalent.

2)a + (a +1)*b = a + ab+ b     Equivalent

3) (a +1)(b+ a) = a*(b +a) + 1*(b+a) = ab+ a² +b + a  Not equivalent.

4) (a + 1)b + a = ab+ b + a   Equivalent

5) a + b(a+1) = a +ab + b Equivalent

6) a + (a +1) + b = a + a + 1 + b = 2a + 1 +b  Not equivalent.

7) a(b +1) + b = ab + a + b  Equivalent

Use the completing the square method to transform the equation x2 + 2x = 13 into an equation of the form (x + a)2 = b, where ɑ and b are real numbers What are the values ​​of ɑ and b?

Answers

Answer:

(x+1)² = 14

a = 1, b = 14

Step-by-step explanation:

Given the equation, x² + 2x = 13

We are to use the completing the square method to express in the form

(x + a)² = b

x² + 2x = 13

Add the square of half of the coefficient of x to both sides

Coefficient of x = 2

Half of the coefficient of x = 2/2

Square of the result = (2/2)²

Square of the result = 1²

Add (1/2)² to both sides

x² + 2x + (1)² = 13 + (1)²

(x+1)² = 13 + 1

(x+1)² = 14

Compare with  (x+a)² = b

a = 1 and b = 14

Nancy is baking a cake. The recipe calls for seven cups of flour and three cups of sugar. She already put in 1/2 a cup of flour. How many more cups of flour does she need to add? Write your answer in decimal form.

Answers

6.5 cups of flour should be the correct answer

Write an equation of the line that goes through the point (0,5) and has a slope of 4.

Answers

Solution :

The Equation of the line can be represented as :

[tex] \longrightarrow \: y = mx + b[/tex]

where, m is slope of the line.

now, let's solve for b , by plugging the values of "x" , "y" and "m"

[tex] \longrightarrow \: 5 = (4 \times 0) + b[/tex]

[tex] \longrightarrow \: b = 5[/tex]

Therefore, the equation of above line is

[tex] \large \boxed{ \mathrm{y = 4x + 5}}[/tex]

[tex] { \orange{ \mathfrak{ \underline{hope \: \: it \: \: helps \: \: you.....}}}}[/tex]

In 6 seconds, a total of 3 waves crash into a cliff. The distance between 2 adjacent wave crests on the water is 8 meters.

Answers

Answer:

Wavelength = 16 m

Step-by-step explanation:

Given that,

In 6 seconds, a total of 3 waves crash into a cliff.

The distance between 2 adjacent wave crests on the water is 8 meters.

We need to find the wavelength of the wave.

We know that, the distance between two consecutive wave is called wavelength of a wave.

We can understand that, total of 3 wave crests, the distance between first and second wave crest is 8 meters.

Hence, the wavelength is 8 m + 8 m = 16 m

Zikri wins a cash prize of one million ringgit. She invests the money into an investment institution that offer
a return of 6% per year. The total amount of Zikris investment after n years is calculated by using the formula
J = P(1 + k)" with p is the initial investment and k is the rate of return per year. Find Zikris total investment
after 15 years.​

Answers

Answer: 2,396,558 Ringgit

Step-by-step explanation:

J = P * ( 1 + k)^n

P = initial investment of 1,000,000 Ringgit

k = rate of return of 6% per annum

n = Number of years of investment

J = 1,000,000 * ( 1 + 6%)¹⁵

= 1,000,000 * 2.396558193

= 2,396,558 Ringgit

A line that includes the point (4,4) has a slope of 3. What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y = 3x - 8

Step-by-step explanation:

Finding the equation in point-slope form is easier.  The result can then be put into slope-intercept form.

The point-slope formula is y - k = m(x - h).  With the given point (h, k) being (4, 4), h = 4 and k = 4.  The slope is 3.  Therefore, we have:

y - 4 = 3(x - 4), or

y = 4 + 3x - 12

This simplifies to the slope-intercept form y = 3x - 8

Una alberca, tiene las siguientes dimensiones: 15 metros de largo, 4 metros de ancho y una profundidad de 1.8 metros. Si se desea que solo se llene a un 95% de su capacidad y para eso se abre una llave la cual deposita 90 litros de agua en tan solo 1 minuto. ¿En Cuánto tiempo estará lista la alberca? *

Answers

Answer:

please transalate

porfavor transalate

Step-by-step explanation:

A sandwich shop offers 6 different types of bread, 4 different
types of meat, and 3 different types of toppings. A sandwich
is made with 1 type of bread, 1 type of meat, and 1 topping.
How many different kinds of sandwiches are there?

Answers

Answer:

36

Step-by-step explanation:

 72 different kinds of sandwiches can be made using 6 different types of bread, 4 different types of meat, and 3 different types of toppings

Given :

A sandwich shop offers 6 different types of bread, 4 different types of meat, and 3 different types of toppings

bread = 6 , meat=4, toppings=3

Sandwich is made of 1 type of bread, 1 type of meat, and 1 topping.

To find the number of combinations we multiply all the possible types we have

Number of combinations of sandwiches = [tex]6 \cdot 4 \cdot 3=72[/tex]

There are 72 different kinds of sandwiches.

Learn more : brainly.com/question/23045449

PLS HELP ILL MARK BRAINLIEST Complete each sentence with minimum or maximum and the corresponding numeric values. The _____________ value of f(x) = –|x – 4| – 5 is __________ when x = _________ . The _______ value of f(x) = x2 – 2x +­ 1 is ___________ when x = _________ .

Answers

Answer:

Step-by-step explanation:

1) the maximum value of f(x) = –|x – 4| – 5 is -5 when x = 4

2) the minimum value of f(x) = x2 – 2x +­ 1 is  0 when x = 1

Someone help me with this please

Answers

Answer:

-1

Step-by-step explanation:

use a calculator and u will get this answer:)

Find the missing side. Round to the nearest tenth. X=?

Answers

Answer:

x = 12.2

Step-by-step explanation:

to solve for 'x', we can use the sine ratio of opposite/hypotenuse

we need to find the angle opposite side 'x', which can be found by:

180-(44+90) = 46

sin46° = x/17

x = 17·sin46°

x = 12.2

Y’all help meeee imma fail fr!!.!.

Answers

Answer:

Altitude of cylinder = 10 cm

Step-by-step explanation:

Given:

lateral surface area of cylinder = 90 cm²

Circumference of base = 9 cm

Find:

Altitude of cylinder

Computation:

Circumference of base = Circumference of cylinder

So,

2πr = 9

lateral surface area of cylinder = 2πrh

2πrh = 90

We know that; 2πr = 9

So,

9(h) = 90

h = 90 / 9

Altitude of cylinder = 10 cm

find the value of x

16
14
10
9

Answers

Answer:

x = 9

Step-by-step explanation:

create a ratio between the triangles:

x/6 = 12/8; cross multiply

72 = 8x; divide 8 on both sides

x = 9

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