These two triangles are similar, what does x equal?

Answer:

See Below.

Step-by-step explanation:

In the given figure, O is the center of the circle. Two equal chords AB and CD intersect each other at E.

We want to prove that I) AE = CE and II) BE = DE

First, we will construct two triangles by constructing segments AD and CB. This is shown in Figure 1.

Recall that congruent chords have congruent arcs. Since chords AB ≅ CD, their respective arcs are also congruent:

[tex]\stackrel{\frown}{AB }\, \cong\, \stackrel{\frown}{CD}[/tex]

Arc AB is the sum of Arcs AD and DB:

[tex]\stackrel{\frown}{AB}=\stackrel{\frown}{AD}+\stackrel{\frown}{DB}[/tex]

Likewise, Arc CD is the sum of Arcs CB and DB. So:

[tex]\stackrel{\frown}{CD}=\stackrel{\frown}{CB}+\stackrel{\frown}{DB}[/tex]

Since Arc AB ≅ Arc CD:

[tex]\stackrel{\frown}{AD}+\stackrel{\frown}{DB}=\stackrel{\frown}{CB}+\stackrel{\frown}{DB}[/tex]

Solve:

[tex]\stackrel{\frown}{AD}\, \cong\,\stackrel{\frown}{CB}[/tex]

The converse tells us that congruent arcs have congruent chords. Thus:

[tex]AD\cong CB[/tex]

Note that both ∠ADC and ∠CBA intercept the same arc Arc AC. Therefore:

[tex]\angle ADC\cong \angle CBA[/tex]

Additionally:

[tex]\angle AED\cong \angle CEB[/tex]

Since they are vertical angles.

Thus:

[tex]\Delta AED\cong \Delta CEB[/tex]

By AAS.

Then by CPCTC:

[tex]AE\cong CE\text{ and } BE\cong DE[/tex]

Answer:

this is your answer. look it once.

Answer:

the answer for first is 3

second is 4

Answer:

if ur talking about 36 divided by 12 in terms of divison then its 3

Step-by-step explanation:

I don't know if im right though

Step-by-step explanation:

given x = 6, y = 9,

[tex]17x + 5.5y = 17(6) + 5.5(9) \\ = 102 + 49.5 \\ = 151.5[/tex]

Answer:

151.5

Step-by-step explanation:

= 17(6) + 5.5(9)

= 102 + 49.5

= 151.5

Hope you got it..

Answer:

i) p = 4

ii) p = 8

iii) p = 12

Step-by-step explanation:

Here, we need to understand the initial relation

Mathematically, we have this as;

2.79 * p = c

So let us calculate the value of p for each value of c

i) 2.79p = 11.16

p = 11.16/2.79

p = 4

ii) 2.79p = 22.32

p = 22.32/2.79

p = 8

iii) 2.79p = 33.48

p = 33.48/2.79 = 12

Answer:

m∠JKL = 120°

Step-by-step explanation:

The measure of an angle formed by a two tangents drawn from a point outside the circle is the the difference of the intercepted arcs

minor arc JL = 60     major arc JL =  360 - 60 = 300

m∠JKL = 1/2(300 - 60) = 1/2(240) = 120

Answer:

f(x) has the greatest y-intercept

Step-by-step explanation:

* Lets explain how to solve the problem

- The function f(x) = 7x + 3

- The function g(x) is tangent function with y-intercept at (0 , 2)

- h(x) = 2 sin(3x + π) - 1

* Lets explain how to find the y-intercept

- The y-intercept means the intersection of the graph of the

 function with the y- axis

- Any point on the y-axis has x-coordinate = 0, so to find the y-intercept

of any function substitute x in the function by zero

∵ f(x) = 7x + 3

∵ x = 0

∴ f(x) = 3

∴ The y-intercept of f(x) is 3

∵ g(x) has y-intercept at point (0 , 2)

∴ The y-intercept of g(x) is 2

∵ h(x) = 2 sin(3x + π) - 1

∵ x = 0

∴ h(x) = 2 sin(3 × 0 + π) - 1

∴ h(x) = 2 sin(π) - 1

∵ sin(π) = 0

∴ h(x) = 2 (0) - 1 = 0 - 1 = -1

∴ The y-intercept of h(x) is -1

∵ 3 > 2 and 3 > -1

∴ f(x) has the greatest y-intercept

The function f(x) has the greatest y-intercept i.e. 3.

Given functions are:

[tex]f(x)=7x+3\\[/tex]

[tex]h(x)=2Sin(3x+\pi )-1[/tex]

The y-intercept is the point on the y-axis at which the graph intersects.

We know that on the y-axis, the x-coordinate is zero.

So, by putting x=0 in the function we can get the y-intercept.

1)[tex]f(x)=7x+3\\[/tex]

[tex]f(0)=3[/tex]

So, the y-intercept of f(x) is 3.

2)From the graph we can say the y-intercept of g(x) is 2.

3)[tex]h(x)=2Sin(3x+\pi )-1[/tex]

[tex]h(0)=2Sin\pi -1[/tex]

[tex]h(0)=-1[/tex]

So, the y-intercept of h(x) is -1.

Hence, function f(x) has the greatest y-intercept i.e. 3.

To get more about functions visit:

https://brainly.com/question/2833285

Answer:

x3=y

Step-by-step explanation:

Answer:

r=6

Step-by-step explanation:

r-3=3(r-5)

First distribute:

r-3=3r-15

Then subtract r on both sides

-3=2r-15

Then add 15 on both sides

2r=12

Divide by 2 to isolate r

r=6

Answer:

17

Step-by-step explanation:

Answer:

[tex]a_{n}[/tex] = 3n + 77

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 80 and d = a₂ - a₁ = 83 - 80 = 3 , then

[tex]a_{n}[/tex] = 80 + 3(n - 1) = 80 + 3n - 3 = 3n + 77

Answer:

The tip for the server is 16%

Step-by-step explanation:

13.6 is 16% of 85.

Answer:

192 and 792

Step-by-step explanation:

Given that

The principal is 600 soles

The Time period is 2 years

The Rate of interest is 16%

We need to find out the simple interest and the total amount paid at the end of 2 years

As we know that

SImple interest is

= Principal × rate of interest × time period

= 600 × 16% × 2

= 192

And, the amount is

= Principal + interest

= 600 + 192

= 792

Answer:

I'm not sure for the first one but for the second I got 1255.21

Answer:

200

Step-by-step explanation:

2*5=10

4*5=20

20*10=200

Answer:

11.1

Step-by-step explanation:

To find the side measurement we have to use trig, and the trig function Cosine, or cos. We use the because cosθ=[tex]\frac{adjecent}{hypotenuse}[/tex]. So cosθ=[tex]\frac{x}{15}[/tex], then to isolate x multiply both sides by 15. Now we have 15cos42=x, plugging this into the equation we get that x=11.1

Answer: Uhhhh

Step-by-step explanation:

1 hour 30 but stop saying Uhhhh for the answer to some people's questions okay? Thanks!

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-5}{3}[/tex]

Step-by-step explanation:

let y = f(x) then rearrange making x the subject , that is

y = 3x + 5 ( subtract 5 from both sides )

y - 5 = 3x ( divide both sides by 3 )

[tex]\frac{y-5}{3}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-5}{3}[/tex]

Answer:

as mentioned above we have to solve it by cross multiplication.

Step-by-step explanation:

So,

4(3x-3)=5(2x-2)

12x-12=10x-10

12x-10x=-10+12

2x=2

X=2/2=1 Answer

hope it helps!!

Answer:

x = 1

Step-by-step explanation:

Here's your solution

=> (3x - 3)/5 = (2x - 2)/4

=> 4(3x -3) = 5(2x - 2)

=> 12x - 12 = 10x - 10

=> 2x = 2

=> x = 2/2

=> x = 1

hope it helps

Answer: The answer is 8.808!

Step-by-step explanation: So you need to subtract 1.192 from 10

and its suppose to give you 8.808.

Answer:

7:45

Step-by-step explanation:

Since they both turn red at differnt times, you have to find a multiple to find the time they will be both on

Main St: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105

Elm St. 15, 30, 45, 60, 75, 90, 105

They will both turn on 105 minutes or 1 hour and 45 minutes from 6

6 + 1 hr 45 min = 7:45

Answer:

A straight angle is the same as half the circle and is 180° whereas a right angle is a quarter of a circle and is 90°. You measure the size of an angle with a protractor. Or could be shown by an arc on the figure to indicate which angles that are congruent

Answer:

22÷7×5.2×5.2×18.5

1572.18

I hope this will help you and plz mark me brainlist

Answer: 44 inches

Step-by-step explanation:

You didn't write your question well but I'm guessing that you want to.find the circumference of a circle.

The circumference of a circle = 2πr

= 2 × 22/7 × 7.

= 2 × 22

= 44inches

The circumference is 44 inches

Answer:

44

Step-by-step explanation:

Answer:

We need more info.

Step-by-step explanation:

Even though we need more information to solve this, I can explain how to. if you want me to solve it for you, comment on here and tell me if they gave you any angle measurements. Until then, I'll tell you how.

Look at the attached photo as you read to help you visualize this. Assuming your parallelogram looks roughly like the drawing, you can see that ∠U = ∠W, and ∠X = ∠V. We can determine that because - when working with parallelograms - the angle opposite of the other is always equal. For instance, if the drawing I made is accurate to the one you're looking at, then if ∠U was equal to let's say 120°, then that means that the exact opposite angle, ∠W, would also be equal to 120°.

Offer is still on the table though. If the question gave you any information about any of the degree measures, comment it and I'll solve the problem for you.

Answer:

These dimensions represent area of a shape, or area of each side of a 4 sided 3D shape.

Answer:

$2.96

Step-by-step explanation:

1.15x = 3.40   x = last year's price.  If there price was exactly the same, I would put 1x, but this year's price is 15% or .15 higher.

1.15x = 3.40  Divide both sides by 1.15 and round to the nearest cent.

x = 2.96

Check:

Last year + 15% (.15)

2.96 + .15(2.96)

2.96 + .44 rounded to the nearest cent

3.40

Answer:

y=6

x=5

Step-by-step explanation:

x=(y+4)/2

-2(y+4)/2+2y=2

-y-4+2y=2

y-4=2

y=6

x=(6+4)/2

x=5