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

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Related Questions


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

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

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

:)

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

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

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

plsssssssssssssssshelppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Help with what?

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.

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

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

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

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

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

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

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.

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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

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

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:

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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

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]

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

- 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.

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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

Help me please! I need this solved.

Answers

Answer:

c(10) = 10c i believe

Step-by-step explanation:

or the answer in the picture

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

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

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

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.

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

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

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