Given:



A

E

D





A

C

B

.

∠AED≅∠ACB.


Prove:



A

B

C





A

D

E

∠ABC≅∠ADE.


Given: AEDACB.AEDACB.Prove: ABCADEABCADE.

Answers

Answer 1

The triangles have a common vertex angle, and a given pair of

corresponding and congruent angles, they are therefore similar triangles.

∠ABC ≅ ∠ADE  (CASTC)

Reasons:

The given parameters are;

∠AED ≅ ∠ACB

By observation, we have that ΔAED and ΔACB have ∠A = ∠DAE and ∠A =

∠BAC in common.

Therefore, ∠DAE ≅ ∠BAC, by reflexive property.

Two angles of ΔAED (∠AED and ∠DAE) are congruent to two angles in

ΔACB.

(∠ACB and ∠BAC), which gives that ΔAED and ΔACB are similar by AA

Angle-Angle similarity postulate, and by Corresponding Angles of Similar

Triangles are Congruent CASTC we have;

∠AED ≅ ∠ACB

∠DAE ≅ ∠BAC

∠ABC ≅ ∠ADE

Learn more here:

https://brainly.com/question/4638844


Related Questions

f(x) = -x^2-3x
find f (10)

Answers

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    f*(x)-(-x^2-3*x)=0  

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  fx + x2 + 3x  =   x • (f + x + 3)  

Equation at the end of step

2

:

 x • (f + x + 3)  = 0  

STEP

3

:

Theory - Roots of a product

3.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

3.2      Solve  :    x = 0  

 Solution is  x = 0

Equation of a Straight Line

3.3     Solve   f+x+3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  f+x+3  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of f is -3/1 so this line "cuts" the f axis at f=-3.00000

 f-intercept = -3/1  = -3.00000  

Calculate the X-Intercept :

When f = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

 x-intercept = -3/1  = -3.00000  

Calculate the Slope :

Slope is defined as the change in f divided by the change in x. We note that for x=0, the value of f is -3.000 and for x=2.000, the value of f is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -2.000/2.000 = -1.000  

Geometric figure: Straight Line

 Slope = -2.000/2.000 = -1.000

 x-intercept = -3/1 = -3.00000

 f-intercept = -3/1 = -3.00000

x = 0

2 3/5 + 5 1/4 in a fraction

Answers

Step-by-step explanation:

[tex]2\frac{3}{5} +5\frac{1}{4}[/tex]

= [tex]\frac{13}{5} +\frac{21}{4}[/tex]

= [tex]\frac{52 + 105}{20}[/tex]

= [tex]\frac{157}{20}[/tex] Or [tex]7\frac{17}{20}[/tex]

Please give me a brainliest answer

What is the two perfect squares of 237?

Answers

Answer:

What is the two perfect squares of 237?

Step-by-step explanation:

The Two perfect squares of 237

I guess It didn't have any square

although its square is 15.39480432


A spinner has 8 sections: 2 purple, 2 yellow, 3 blue,
and 1 red.
What is the probability of spinning and landing on
a color that is not yellow?
6
3
P(not yellow) = 6
P(not yellow) = 6/8
P(not yellow) = 2/8

Answers

Answer:

p=6/8

Step-by-step explanation:

there are 8 sections total and 6 sections that are not yellow

you have a 6 in 8 chance of landing on a color that isn't yellow/

6/8

hope this helps!

yooooooo anyone else tired of school

What is the slope of a line parallel to y = 4x + 3.​

Answers

Answer:Using the slope-intercept form, the slope is −4 - 4 .

Step-by-step explanation:To find an equation that is parallel to y=−4x−3 y = - 4 x - 3 , the slopes must be equal.

Answer:

the slope is −4 - 4

sorry if it’s wrong

The graph shown below expresses a radical function that can be written in the for f(x)=a(x+6)

Answers

Answer:

Step-by-step explanation:

MY SISTER HAVE DIS EQUETION I TELL YOU

The next model of a sports car will cost 4.1%, more than the current model. The current model costs $58,000 How much will the price increase in dollars? What
will be the price of the next model?

Answers

Answer:

$60378

Step-by-step explanation:

$58,000 represents 100% of the original cost

100 + 4.1= 104.1% = 104.1/100 = 1.041

Multiplying by 1.041 gives the cost after the increase

price = 53000 x 1.041  = $60378

The product of twice a number and four is the same as the difference of seven times the number and 2/7 Find the number.

Answers

Answer:

the number is -2/7

Step-by-step explanation:

let the number be x

2x ×4= 7x-2/7

8x = 7x-2/7

collect like terms

8x-7x = -2/7

X= -2/7

Choose all of the ordered pairs that are solutions to the equation y = x2 + 1.
A. (-2, 5)
B. (-1,0)
7. (1, 2)
D. (2, 4)
E. (3, 10)

Answers

Answer:

A, C, E

Step-by-step explanation:

Substitute the x- coordinate of the points into the equation and if the result is equal to the y- coordinate of the point then it is a solution.

A (- 2, 5 )

y = 2² + 1 = 4 + 1 = 5 → (- 2, 5 ) is a solution

B (- 1, 0 )

y = (- 1)² + 1 = 1 + 1 = 2 ≠ 0 ← not a solution

C (1, 2 )

y = 1² + 1 = 1 + 1 = 2 → (1, 2 ) is a solution

D (2, 4 )

y = 2² + 1 = 4 + 1 = 5 ≠ 4 ← not a solution

E (3, 10 )

y = 3² + 1 = 9 + 1 = 10 → (3, 10 ) is a solution

Can anyone help me solve this? Thank you. The question is provided on the attachment

Answers

Answer:

V I R T U E

Step-by-step explanation:

I) 3d = 3 × 3 = 9

E) 4d + a = 4(3) + 1 = 12 + 1 = 13

R) d² + 5 = (3)² + 5 = 9 + 5 = 14

V) bc + 3d = 1/2 × (-2)  + 3(3) = -1 + 9 = 8

T) a - 3c = 1 - (3 × -2) = 1 - -6 = 7

U) √3c²d = √3 × (-2)² × 3 = √3 × 4 × 3 = √36 = 6

Correct order:

V I R T U E

Activity:theresa's mother ask her to buy dressed chicken if a kilo of dressed chick cost​

Answers

Step-by-step explanation:

450/180= 2.5 kilos

it is a one to one relationship

f(x)=x/180

where x is the amount given to her

find x if the base angles of an isosceles triangle are 47 degrees and 3x+14

Answers

Answer:

Step-by-step explanation:

The value of x is 11.

Given,

The base angles of an isosceles triangle are 47 degrees and 3x+14 degrees.

We need to find x.

What is an isosceles triangle?

An isosceles triangle is a triangle that has two equal sides and two equal angles.

The equal angles are the base angles.

Find x.

We have,

Base angles: 47 degrees and (3x + 14) degrees

Since base angles are equal in an isosceles triangle.

We have,

47 = 3x + 14

47 - 14 = 3x

33 = 3x

x = 33/3 = 11

x = 11

Thus the value of x is 11.

Learn more about the isosceles triangle here:

https://brainly.com/question/10147636

#SPJ2

What is the number if 4 is subtracted from sum of 1 fourth of 5 times of 8 and 10

Answers

Answer:

Answer:18.5

Step-by-step explanation:

10+8=18

18*5=90

90/4

22.5-4=18.5

Have a happy day! <3Miss Hawaii

Answer:

16

Step-by-step explanation:

sum of 8 and 10=18

5 times of sum of 8 and

10= 18×5=80

1/4 of 5 times of sum of 8 and

10= 1/4×80=20

and then subtracted 4 from

20 =20-4=16

Bentley is deciding between two truck rental companies. Company A charges an initial fee of $50 for the rental plus $2 per mile driven. Company B charges an initial fee of $10 for the rental plus $3 per mile driven. Let AA represent the amount Company A would charge if Bentley drives xx miles, and let BB represent the amount Company B would charge if Bentley drives xx miles. Graph each function and determine the interval of miles driven, x,x, for which Company A is cheaper than Company B.


Company A is cheaper than Company B when x ___ _ ___

Answers

Answer:

after 41 miles A is cheaper than B

Step-by-step explanation:

not sure if this is what the question is asking for

6. Write the following cubes in expanded form:

(iii) (3a + 4b)³

8. Evaluate the following cubes using suitable Identities:

(ii) (999)³

Answers

Answer:

Step-by-step explanation:

we can use this algebraic identity:

[tex](a+b)^{3} =a^{3} +b^{3} +3ab(a+b)[/tex]

So,[tex](3a+4b)^{3} =(3a)^{3} +(4b)^{3}+3(3a)(4b)(3a+4b)[/tex]

=[tex](3a+4b)^{3} =27a^{3} +64b^{3} +36ab(3a+4b)[/tex]

=[tex](3a+4b)^{3} =27a^{3} +64b^{3} +108a^{2} b+144ab^{2}[/tex]

[tex](999)^{3}[/tex]=[tex](1000-1)^{3}[/tex]

Now, we can use the following identity:

[tex](a-b)^{3} =a^{3} -b^{3} -3ab(a-b)[/tex]

=[tex](1000-1)^{3} =1000^{3} -1^{3} -3(1000)(1)(1000-1)\\[/tex]

[tex](1000-1)^{3} =1,000,000,000-1-2,997,000[/tex]

[tex](1000-1)^{3} =997,002,999[/tex]

Use the following graph to find the slope, y-intercept, and x-intercept. 2 (-6,0) (2,-2) ​

Answers

M= -1/4 B= -1.5 X intercept= -6

8(-x - 7) > 16 I need the answer for it, I honestly don’t get it

Answers

Answer:

x > 8.125 or 8 & 1/8

Step-by-step explanation:

8( -x - 7) > 16

-8x - 49 > 16

     + 49 + 49

-8x > 65

x > 8.125 or 8 & 1/8

if i had 475 cannolis ans a box can only carry 15 how many boxes will i need.​

Answers

Answer:

you would need 32 boxes

Step-by-step explanation:

475/15 = 31.666

32 boxes

475/15=31.7 but you can't get 0.7 boxes so you would need 32 to carry all of the cannolis.

Help me please! I need this solved.

Answers

Answer:

c(10) = 10c i believe

Step-by-step explanation:

or the answer in the picture

giải bài tập toán giúp tôi

Answers

Answer:

5x2 + 5x -1

Step-by-step explanation:

jus multiply 3x to 2x because there to the same power. it becomes a postive and you leave the rest.

Answer:

the first answer is right


What is the domain of the relation {(0,4), (4,9), (5,2), (10,4)}
a. 0, 2, 9, 10
b. 0, 2, 4, 10
c. 0, 4, 9, 10
d. 0, 4, 5, 10

Answers

Answer:

The domain is the set of all the values of x .

The range is the set of all the values of y.

Domain:

{0,4,5,10}

Range:

{4,9,2}

Step-by-step explanation:

your answer is is from an algebra solver called mathwey but an a instead of  an e it solves everything i promise i use it all the time

plsssssssssssssssshelppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Help with what?

Find the measures of the interior angles.

Answers

The three inside angles of a triangle when added together need to equal 180 degrees.

To find x subtract the other two angles from 180:

X = 180 - 65 - 40

X = 75

The table shows sets of ordered pads that form a relation

Does each set of ordered pairs represent a function?

Select Function or Not a Function for each set of ordered pairs

{(2,4),(3,1),(0,5),(-1,3)}
{(2,4),(4,1),(0,4), (3,0)}
{(-23),(4,1),(4,4),(3, 2)}
{(7-3),(3; -7), (2,4),(4, 2)}

Answers

Answer:

(5,2) (-2,5) this is how you solve an equation using simple graphd

guys pls help me!!!!!!

Answers

Answer:

Step-by-step explanation:

i think its 64 degrees

Angles on a straight line equals 180⁰

180⁰-64⁰

116⁰

x=116⁰

On the grid below draw a right triangle
with vertices at P(2, 4), Q(7, 9), and
R(10,6). what is the lengths of the three sides to the nearest tenth.

Answers

Answer: See attached image for graph

PQ: √50

QR: √18

PR: √68

Step-by-step explanation: We will use the 2D distance formula in order to get each side length. The distance formula is:

distance = √(x₂-x₁)² + (y₂-y₁)²

Thus, we just apply this formula for each side length.

A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum height of 10 mm halfway across a horizontal distance of 80 mm.

Part A: Write the equation of the parabola in standard form that models the spider's jump. Show your work. (4 points)

Part B: Identify the focus, directrix, and axis of symmetry of the parabola. (6 points)

Answers

The spider's movement is an illustration of a parabola.

The equation of the parabola is: [tex]\mathbf{y = -\frac{1}{320}(x - 80)^2 + 20}[/tex]The focus of the parabola is [tex]\mathbf{Focus = (80 ,-60)}[/tex]The directrix is: [tex]\mathbf{y = 100}[/tex].The axis of symmetry is: [tex]\mathbf{x = 80}[/tex]

(a) The equation

The spider passes through the origin.

So, we have:

[tex]\mathbf{(x,y) = (0,0)}[/tex]

The spider jumps to a maximum height of 20mm, midway 160mm.

So, the vertex is:

[tex]\mathbf{(h,k) = (80,20)}[/tex]

The equation of a parabola is:

[tex]\mathbf{y = a(x - h)^2 + k}[/tex]

So, we have:

[tex]\mathbf{0 = a(0 - 80)^2 + 20}[/tex]

[tex]\mathbf{0 = 6400a + 20}[/tex]

Subtract 20 from both sides

[tex]\mathbf{6400a =- 20}[/tex]

Solve for a

[tex]\mathbf{a =- \frac{1}{320}}[/tex]

Substitute [tex]\mathbf{a =- \frac{1}{320}}[/tex] and [tex]\mathbf{(h,k) = (80,20)}[/tex] in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]

[tex]\mathbf{y = -\frac{1}{320}(x - 80)^2 + 20}[/tex]

(b) The focus, directrix and the axis of symmetry

The focus of a parabola is:

[tex]\mathbf{Focus = (h,k+p)}[/tex]

Where:

[tex]\mathbf{p = \frac{1}{4a}}[/tex]

So, we have:

[tex]\mathbf{p = \frac{1}{4\times -1/320}}[/tex]

[tex]\mathbf{p = -\frac{320}{4}}[/tex]

[tex]\mathbf{p = -80}[/tex]

So, we have:

[tex]\mathbf{Focus = (80 , 20-80)}[/tex]

[tex]\mathbf{Focus = (80 ,-60)}[/tex]

The axis of symmetry is:

[tex]\mathbf{x = h}[/tex]

So, we have:

[tex]\mathbf{x = 80}[/tex]

The directrix is:

[tex]\mathbf{y = k - p}\\[/tex]

So, we have:

[tex]\mathbf{y = 20+80}[/tex]

[tex]\mathbf{y = 100}[/tex]

Read more about parabolas at:

https://brainly.com/question/5430838

Look at the point in the picture. What is the y coordinate?


(3,-2)

Answers

Answer:

-2

Step-by-step explanation:

It's (x,y)

Here, (3,-2)

-2 is y

:)

prove cos a = 5/13 pls solve it and no link pls..........​

Answers

Answer : The demonstration is below :)

Step-by-step explanation :

We use Pythagoras' theorem :

In the triangle ABC we have :

AB² = AC² - BC² = 15² - 9² = 144 = 12²

In the triangle ABD we have :

DB² = AD² - AB² = 13² - 12² = 5²

cos(a) = BD/AD = 5/13

- Equation Editor A set of curtains normally
sells for $58.99. Roberta used a coupon
good for 20% off the regular price. To the
nearest cent, how much did Roberta pay for
the curtains before sales tax?

Answers

Answer:

89.99

Step-by-step explanation:

u add i48934yr84 r84

Roberta paid the amount of $47.19 for the curtains before the sales tax.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that equation editor A set of curtains normally sells for $58.99. Roberta used a coupon good for 20% off the regular price.

To determine the amount for the curtains before the sales tax

According to the given conditions, the solution would be as:

⇒ 58.99 × (1 - 20%)

⇒ 58.99 × (1 - 0.20)

Calculate the sum or difference and we get

⇒ 58.99 × 0.80

Apply the multiplication operation to get

⇒ 47.192

Round the number nearest to the hundredth,

⇒ 47.19

Therefore, Roberta paid the amount of $47.19 for the curtains before the sales tax.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ5

Other Questions
The radius of a smaller circle is half the length of the radius of a larger circle. The area of the larger circle is 20 square inches. What is the approximate area of the smaller circle? Heroin, cocaine, methamphetamine, cigarettes, and alcohol are all examples of ________. Which sentence best explains how Rizwan use the rising waters to solve a problem 1. Da vo trit hc duy vt bin chng, anh (ch) rt ra trit l g t tnh hung ny? 2. Nu r trit l ca ngi b ng hc gi v trit l ca chnh ng hc gi? Bi 2 PLEASE HELP!!What kind of metal is Co?Alkali MetalTransition MetalAlkaline Earth Metal HELP PLEASE! NO LINKS!! JUST HELP WITH ALL 3 QUSTIONS! why do you think it is important to understand chemistry and chemical cycles? Write at least 5 sentences. find the glide reflection image of the black triangle Select the statements that are true regarding IP addresses. Check All That Apply assigned to your home network by your ISPassigned to your home network by your ISP means by which your network is identified by other servers and computers on the Internetmeans by which your network is identified by other servers and computers on the Internet ISPs often have blocks of IP addresses that they assign as demanded.ISPs often have blocks of IP addresses that they assign as demanded. Your ISP assigns a permanent IP address to your home network.Your ISP assigns a permanent IP address to your home network. Highlight the vague word or phrase in the thesis statement below. Anonymous posting and commenting on the Internet should no longerbe okay. 3. What can we do to raise people's awareness of environmental problems? which planet is blue-green in colour? Three interesting facts about France after WW2 in an oxidation-reduction reaction, how is the reducing agent changed? PLEASE HURRY!!!!!! Read Edward Corsis quotation from the book Immigrant Kids by Russell Freedman.The writer Angelo Pellegrini has recalled his own familys detention at Ellis Island:My sister was indeed momentarily rejected; she had been so ill and had cried so much that her eyes were absolutely bloodshot, and Mother was told, Well, we cant let her in.This quotation adds credibility to the text becauseit comes from an actual immigrant whose experience agrees with Freedmans statement that one out of every five immigrants was detained.it comes from an actual immigrant whose experience proves that no one was detained on Ellis Island.it comes from a young woman who was held on Ellis Island, which supports Freedmans statement that one out of every five immigrants was detained.it comes from a mother whose daughter was detained because her eyes were red and bloodshot. Four people are painting a houseRishi paints of the house, Monique paints 25% of the house, Haley paints 0.02 ofthe house, and Diego paints 0.1 of the house. a tire on a toy car has a diameter of 8 cm. if the toy car travels 12560 cm, approximately how many times does the Tire rotate How service managers could use the pigmalion effect in practice give example 2. Briefly explain F.I.T.T. Principle and give precise example each. I need help with Part B does anybody know