Find the length of AD

Find The Length Of AD

Answers

Answer 1

Answer:

AD = 6

Step-by-step explanation:

5+x-----12

5------10

50+10x = 60

10x = 60-50

10x = 10

x = 1

AD = 5+1

AD = 6


Related Questions

Secant and Tangent Angles in circles.
Solve for x.

Answers

Answer:

x = 1

Step-by-step explanation:

5x + 17 = 1/2[(73x + 5) - (23x - 5)]

5x + 17 = 1/2[37x + 5 - 23x + 5]

5x + 17 = 1/2[14x + 10]

5x + 17 = 1/2 * 2(7x + 5)

5x + 17 = 7x + 5

5x - 17x = 5 - 17

-12x = - 12

x = - 12/-12

x = 1

A circle is a curve sketched out by a point moving in a plane. The value of x that will make the Secant and Tangent Angles true for the circle is 17/25.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

For the given circle, as per the Secant and Tangent Angles theorem, the measure of the angle formed by two tangents can be written as,

∠WVU = (arc WU + arc WU)/2

5x + 17 = [(37x + 5) + (23x - 5)]/2

2(5x + 17) = (37x + 5) + (23x - 5)

10x + 34 = 37x + 5 + 23x - 5

10x - 37x - 23x = 5 - 5 - 34

-50x = -34

x = 34/50

x = 17/25

Hence, the value of x is 17/25.

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Mr. Thompson plans to invest $7,500 in a savings account that earns 2.75% simple annual interest. If he makes no other deposits or withdrawals, how much money will Mr. Thompson's account be worth after 10 years.

Answers

Answer:

Mr. Thompson's account be worth $9,562.50 after 10 years

Step-by-step explanation:

Simple Interest

Interest is calculated on the original principal only of a loan or on the balance of an account.

Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=P.r.t

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Mr. Thompson plans to invest P=7,500 in a savings account that earns r=2.75% = 0.0275.

The interest earned in t=10 years is calculated now:

I=7,500*0.0275*10

I=2,062.50

Now we add the interest to the principal:

A = $7,500 + $2,062.50

A = $9,562.50

Mr. Thompson's account be worth $9,562.50 after 10 years

(-20, -3) U (0,00)
what is the inequality notation?

Answers

Answer:

-20 < x < -3

Step-by-step explanation:

*math*

A phone company charges a base fee of $25 per month plus an additional charge per minute. The monthly phone cost can be represented by this equation: C=25+ a·m/4, where a is the additional charge per minute, and m is the number of minutes used. How can we re-write this equation to solve for the additional charge per minute?
PLZ HURRY

Answers

Answer:

C=25+(a*m)

just simplyfy what it was doing

what is the equation of a line that passes through (4,6) and is parallel to y=2x+2 ?

Answers

Answer:

y=2x-2

Step-by-step explanation:

my work is in the picture I attached. lmk if you'd like me to explain more

Answer:

y = 2x - 2

Step-by-step explanation:

let equation of the line be y = mx + c

since it is parallel to y = 2x + 2, gradient/slope of the two lines would be the same

therefore, m = 2

since it passes through (4, 6),

sub (4, 6):

6 = 2(4) + c

c = -2

therefore equation of the line is y = 2x - 2

The altitude to the hypotenuse of a right triangle divides the hypotenuse into two segments measuring 11 cm and 5 cm. To the nearest tenth, what is the length of the shorter leg of the triangle?

Answers

Answer:

8.4 cm

Step-by-step explanation:

Given that:

A right angled triangle, let [tex]\triangle ABD[/tex]. Right angled at [tex]\angle A[/tex].

Altitude AC to the hypotenuse BD.

Length of side BC = 5 cm

Length of side CD = 11 cm

We have to find the value of shorter leg of triangle. i.e. side AB = ?

Using the concept of similarity, we can say the following:

[tex]\dfrac{AB}{BC} = \dfrac{BD}{AB}\\\Rightarrow AB^2=BC.BD\\\Rightarrow AB^2=5\times (5+11)\\\Rightarrow AB^2=5\times 16\\\Rightarrow AB^2=80\\\Rightarrow AB=\sqrt{80}\\\Rightarrow \bold{AB\approx 8.4\ cm}[/tex]

The length of shorter leg of the triangle = 8.4 cm

Which are are solutions for x^2 + 5x – 1 > 6

Answers

Answer:

it might be b and d

Step-by-step explanation:

Complete the equation of the line through (3,-8)(3,−8)left parenthesis, 3, comma, minus, 8, right parenthesis and (6,-4)(6,−4)left parenthesis, 6, comma, minus, 4, right parenthesis.

Answers

Answer:

[tex]y = \frac{4}{3}x - 12[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (3,-8)[/tex]

[tex](x_2,y_2) = (6,-4)[/tex]

Required

Determine the equation

First, we need to determine the slope (m):

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

[tex]m = \frac{-4 - (-8)}{6 -3}[/tex]

[tex]m = \frac{-4 +8}{3}[/tex]

[tex]m = \frac{4}{3}[/tex]

Next, we determine the line equation using:

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

Where

[tex]m = \frac{4}{3}[/tex]

[tex](x_1,y_1) = (3,-8)[/tex]

[tex]y - (-8) = \frac{4}{3}(x - 3)[/tex]

[tex]y +8 = \frac{4}{3}(x - 3)[/tex]

[tex]y +8 = \frac{4}{3}x - 4[/tex]

[tex]y = \frac{4}{3}x - 4 - 8[/tex]

[tex]y = \frac{4}{3}x - 12[/tex]

The equation of the line that passes through  (3, -8)(6, -4) is y = - 1 / 2 x - 1

The slope intercept equation is as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

The line passes through (3, -8)(6, -4)

m = -4 - 3 / 6 + 8 = -7 / 14 = - 1 / 2

y = - 1 /2 x + b

let's find b using (6, -4)

-4 = - 1 /2 (6) + b

-4 + 3 = b

b = -1

Therefore,

y = - 1 / 2 x - 1

learn more:

what is the answer
9x plus 2 (2x+3)

Answers

Step-by-step explanation:

=9x+2(2x+3)

=9x+4x+6

=13x+6 I hope so,

Answer :
13x+6

Step by step explanation:
9x+2 (2x+3)
= 9x + 4x + 6
= 13x + 6

Write an informal proof to show triangles ABC and DEF are similar.

A.) 12
B.) 10
C.) 6
D.) 8

Answers

Answer:

a

Step-by-step explanation:

Formula One race cars can reach speeds of approximately 100 meters per second. What is this speed in meters per minute?

0.6 meters per minute
1.67 meters per minute
600 meters per minute
6,000 meters per minute

Answers

Answer:

6,000 meters per minute

Step-by-step explanation:

Answer:

D. 6,000 meters per minute

Step-by-step explanation:

It's right on edg 2020

hope it helps (;

Have a good day and good luck !!!!!!!!!!!!!!!!!!!!!!!!!!!!!

I will give brainliest
4 = u/10
what is the value of u?

Answers

u = 40

40/10 is 4

Hope this helps!

Martin Lukarevski, a super-hard problem published by Cambridge:

Let m be an arbitrary integer and let k=3m+1. Find all integer solutions x and y of the equation
(x + y − k)(x + y + k)=1+xy.

Answers

Answer:

Yagub Muallim is watching, grave is loading .

Step-by-step explanation:

Find the distance between each pair of parallel lines with the given equations y=3x, y=3x+10

Answers

Answer:

sqrt10

Step-by-step explanation:

Since the closest distance between two parallel lines is a line that is perpindicular to them, we first find the line of the slope that is perpindicular to both lines. Since slope of line y = 3x+10 is 3, the slope of the line that is perpinduclar is -1/3. Therefore y = -1/3x is perpindicluar to both lines. We then find the intersection point of each line. We find said points by setting the lines equal to each other. 3x+10=-1/3x, x = -3 therefore y = 1. For the second line we get we find the origin is the intersection. Therefore since this forms a right triangle with the x axis, we find that the distance is 3^2+1^2 = sqrt10

help I'll give brainliest and 5 starts and heart thanks​

Answers

Answer:

can you expand on what you're talking about?

Answer:

Question isn't complete dude ...

Fredrick manages a band and sing leads vocal the band charges $700 per concert Frederick receives 175 of that money and he shares the rest equally among the other five members of the band how much money does each of the five band members receive per concert

Answers

Answer:

Each will receive $105

Step-by-step explanation:

Step one:

given data

we are told that the total amount made is $700

If Frederick receives $175 from the amount made the balance left to share is

=700-175

=$525

Step two:

Hence the five band members will share $525

each of them will receive

=525/5

=$105

3.
Lakpa buys 20 items for Rs 6000. He sells them at Rs 390 each. Calculate:
(a)
His total profit on the deal.
(b)
His percentage of profit on the deal​

Answers

Your answer is a your welcome

What is the probability of rolling at least one six on a pair of fair
dice?

Answers

It is a 67% percent chance.

Lorena compró en una tienda una remera, un pantalón y una cartera. Se sabe que el pantalón cuesta $400 más que la remera, y la cartera cuesta 5 veces el valor de la remera. Si por los tres objetos pagó, en total, $2850, ¿cuál es precio de cada uno?

Answers

Responder:

Costo de la camisa = $ 350

Pantalón = $ 750

Billetera = $ 1750

Explicación paso a paso:

Artículos comprados :

Camiseta (t); pantalones (p); y billetera (w)

El pantalón cuesta 400 más que la camisa

La billetera cuesta 5 veces el valor de la camisa

Importe total pagado = 2850

Sea el costo de la camiseta = x

Costo del pantalón = x + 400

Costo de la billetera = 5x

La suma del costo debe dar el monto total pagado:

x + x + 400 + 5x = 2850

7x + 400 = 2850

7x = 2850 - 400

7x = 2450

x = 350

Por lo tanto,

Costo de la camisa = $ 350

Pantalón = x + 400 = 350 + 400 = $ 750

Billetera = 5x = 350 * 5 = $ 1750

A rental car cost 36 for one day plus additional 0.42 per mile. Simplify the expression 36 + 0.42( 78) to determine the cost of renting a car and driving it 78 miles

A. 68.76
B.70.08
C. 93.12
D. 2,808.42

Answers

Answer:

The Answer is A

Step-by-step explanation: What you do is multiply 0.42 by 78 since that is what it costs per mile which is 32.76.

And then you add 36 and you get 68.76

y+4= 2/3 (x+3) written in standard form​

Answers

2x-3y=6 is correct:)

how long is a meter
you can not use google

Answers

1 km=1000 m

1 m=100 cm

please mark as brainliest

PLZ ANSWER WILL GIVE BRAINLIST 15 POINTS AND PLUS THREE FOR CORRECT ANSWER!!!!!!

Answers

Answer:

22

Step-by-step explanation:

just simple deduction

i think 22 i’m not positive

in order to solve for x which trig function would be used cosine sine or tangent​

Answers

Answer:

Cosine

Step-by-step explanation:

I took the test

In order to solve for x , we use the trigonometric function cosine

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be ΔABC , where ∠B = 90°

Let the side AB be x

So , the adjacent side = x

The angle of the triangle ∠A is = 72°

So , θ = 72°

The hypotenuse AC = 8

And , by trigonometric relations , we get

cos θ = adjacent / hypotenuse

Substituting the values in the equations , we get

cos 72° = x / 8

Multiply by 8 on both sides , we get

x = cos 72° × 8

Now , cos 72° = 0.30901

Substituting the value of cos 72° , we get

x = 0.30901 × 8

x = 2.472

Hence , the value of x is determined by cosine function

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2x-3y=4 x+3y=29
A. ( - 11, 3)
B. (11, - 3)
C. (3, 11)
D. (11, 3)

Answers

Answer:

Step-by-step explanation:

2x-3y=4 x+3y=29

Hmmm I got (11,6) and I did it two different ways. Are these the only answers?

Answer:

(11, 6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

2x - 3y = 4

x + 3y = 29

Step 2: Rewrite systems

2x - 3y = 4

x = 29 - 3y

Step 3: Solve for y

Substitute in x:                    2(29 - 3y) - 3y = 4Distribute 2:                        58 - 6y - 3y = 4Combine like terms:           58 - 9y = 4Isolate y term:                     -9y = -54Isolate y:                              y = 6

Step 4: Solve for x

Define:                         x + 3y = 29Substitute in y:            x + 3(6) = 29Multiply:                       x + 18 = 29Isolate x:                      x = 11

Step 5: Check

Graph the systems of equations to verify the solution set.

Complete the steps to find the value of x.
2xº
1282

Answers

Answer: 64°

Explanation: We know this because 2x=128, so if you divide 128/2 you’ll find x which is 64!

Hope this helps :)
It would be 64. You can see the other angel is 128. And both angles are opposite angles. So divided both sides by 2, which gets 64. 64x2 is 128

please help me this question​

Answers

Step-by-step explanation:

Please mark me as the brainliest answer

Answer:

x^3 - 7x^2 + 72

Step-by-step explanation:

you just subtract both equations

how many solutions does -2 + x -3 = 2x + 5 -x have?

Answers

Answer:

No solutions

Step-by-step explanation:

Which situation could be represented by the equation 38.25 = 3x?

A group of 3 friends each had $38.25. What is x, the total amount of money the friends had all together?

A group of friends had $38.25. They decided to triple their money by working for a neighbor. What is x, the total amount of money the friends had all together after working for a neighbor?

A group of 3 friends had $38.25 all together. Each friend had the same amount of money. What is x, the amount of money each friend had?

A group of friends had $38.25. They earned $3 more. What is x, the amount of money the friends have all together?

Answers

Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Rounding decimals. 0.01426; thousandths

Answers

Answer:

0.014

Step-by-step explanation:

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