Using the diagram below, which of the following parts of the triangles are
congruent?
7 miles
B
С
16 ft
12 ft
D
21 ft
E
1 mile = 5280 ft
Given:
1. ACAB-ACED
2. AB ||ED
A. ZA ZB
B. ZASZC
y

Using The Diagram Below, Which Of The Following Parts Of The Triangles Arecongruent?7 MilesB16 Ft12 FtD21

Answers

Answer 1

Answer: Choice D. [tex]\angle A \cong \angle E[/tex]

Explanation: Since AB is parallel to ED, this means the alternate interior angles A and E are congruent as marked below.

Using The Diagram Below, Which Of The Following Parts Of The Triangles Arecongruent?7 MilesB16 Ft12 FtD21
Answer 2

Angle A is congruent to angle E by alternate interior angle theorem. Therefore, option D is the correct answer.

What are similar triangles?

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle CAB is similar to triangle CED and AB is parallel to ED.

From the given figure, AB=7 miles, DC=16 ft, EC=12 ft and DE=21 ft.

Here, in figure,

∠A ≅ ∠E  (Alternate interior angles)

∠B ≅ ∠D  (Alternate interior angles)

∠ACB ≅ ∠DCE  (Vertically opposite angles are congruent)

Therefore, option D is the correct answer.

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Related Questions

steps to describe an inscribed regular hexagon.

Answers

Answer:

many sides

unique shape

If necessary, write in simplest radical form

Answers

Answer:

2*sqrt(5)

Step-by-step explanation:

By using Pythagoras theorem, we have

4^2+2^2=(the third side)^2

16+4=(the third side)^2

Third side=sqrt(20)=2*sqrt(5)

which of the following are remote interior angles of 5 ?

Answers

Answer:

The answer is B and C.

Answer: B AND C

Step-by-step explanation:

Remote interior angles are angles that are opposite from the exterior angles (5 in this case).

PLEASER HELP WILL GIVE BRAINLIEST!

Answers

Answer:

$250

Step-by-step explanation:

the class width (just choose one of the rows, it could be the same) =>for example:the first row = $(749-500+1) = $250

how do you figure this out step-by-step?

5x + 3y = 10
6x + 3y = 33

Answers

Multiply the second equation by -1.

5x+3y=10

-6x-3y=-33

The postive and negative 3ys cancel

-x=-23

x=23

10=5x-3y=3xy+10=13xy

Find the measure of the indicated angle to the nearest degree.
13
6

Answers

Answer:

62.5 or 63

Step-by-step explanation:

the length of the side adjacent to the angle is given (6), and the length of the hypotenuse is also given (13)

the trig function that deals with adjacent and hypotenuse lengths is cosine.

cos(x) = adj/hyp

cos(x) = 6/13

x = 62.5

HELP ASAP

The graph of f(x)= |x| is chosen below. Write the equation for the stretched graph, g(x).

Answers

Answer:

y = |3x|

Step-by-step explanation:

You are in a hot air balloon that is 600 feet above the ground where you can see your friend. If the angle from your line of sight to your friend is 20°, how far is he from the point on the ground below the hot air balloon to the nearest foot?

Answers

Answer:

218.38 feet

Step-by-step explanation:

tan(20) = x/600

tan(20) = 0.3639

600 x 0.3639 = 218.38 feet

hope this helps

Tìm giá trị lớn nhất giá trị nhỏ nhất
Cos(x+π/3)+ cos(x-π/3)

Answers

Answer:

GTLN : 1  GTNN: -1

Step-by-step explanation:

Ta có:

[tex]y=cos(x+\frac{\pi }{3} ) + cos(x-\frac{\pi }{3} ) \\ = 2.cosx.cos\frac{\pi }{3} \\ = cosx[/tex]

mà [tex]-1\leq cosx \leq 1[/tex]

Nên Max [tex]y=1[/tex]  , [tex]x[/tex] ∈ [tex]R[/tex]

       Min [tex]y = -1[/tex], [tex]x[/tex] ∈ [tex]R[/tex]

What is the volume of the sphere below PLEASE HELP FAST

Answers

Answer:

c. 256π/3 units^3

Step-by-step explanation:

Recall that the volume V of a sphere with radius r is given as

V = 4 /3πr3

Hence from the image given, the radius of the sphere which is the distance from the center to any point on the circumference is 4 units hence the volume

V = 4/3 * π * 4^3

= 4/3 * π * 64

= 4*64/3 * π

= 256π/3 units^3

Option c is right

Tìm m để hàm số sau là hàm số bậc nhất:
(2m-1)x+2018

Answers

Answer:

2mx-x+2018

Step-by-step explanation:

multiply each term in the parentheses by x

If a = x+21, b = 4, c = x + 3, and d = 10, then the value of x =

Answers

Using the intersecting chord theorem:

a x b = c x d

x+21 * 4 = x+3 * 10

Simplify:

4x+84 = 10x+30

Subtract 30 from both sides:

4x + 54 = 10x

Subtract 4x from both sides:

54 = 6x

Divide both sides by 6:

x = 9

Answer:

x=9

Step-by-step explanation:

(segment piece) x (segment piece) =   (segment piece) x (segment piece)

ab = cd

(x+21) *4 = (x+3)*10

Distribute

4x+84=10x+30

Subtract 4x from each side

84 = 10x-4x+30

84 = 6x+30

Subtract 30 from each side

54 = 6x

Divide by 6

54/6 = 6x/6

9=x

Find the value of x in each case

Answers

Answer: x=45

Step-by-step explanation:

To solve for x, we first need to understand the figure. We know TV and RS are parallel lines. If we extend TV to the left, we get a straight line parallel to RS. By Alternate Interior Angles, We know ∠R is equivalent to ∠T on the very left. Therefore, we can set it equal to 180° and solve.

x+2x+x=180          [combine like terms]

4x=180                  [divide both sides by 4]

x=45

Now, we know x=45.

John has $132.55 in his bank account. He wants to join a guitar class that charges a $15 fee every week. John plans to take the class for 12 weeks.

Answers

Answer:

Not exactly sure what the question is but John would have to pay 180 to be in the class, he does not have enough for the class right now.

HELP ASAP PLEASEREEEEE

Answers

Answer:

uh

Step-by-step explanation:

my guy, I DK.

Question 4 of 40
If cose= -
5
in quadrant II, what is sine?

Answers

Step-by-step explanation:

cosx=adjacent/hypotenuse

adj=3, hyp=5

by pythagoras theorem,

opp^2+3^2=5^2

opposite=4

sine=opp/hyp

sinex=4/5 (second quadrant so sin is positive)

The solution is, The value of sin ∅ in quadrant 2 is 4/5.

What are trigonometric relations?

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

here, we have,

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

here, we have,

given that,

cos∅ = - 3/5, in quadrant II,

We have;

adjacent = -3

hypotenuse = 5

Let's find the opposite side, using Pythagorean theorem

5^2 = x^2 + (-3)^2

25 = x^2 + 9

collect like terms

x^2 = 25 - 9

x^2 = 16

x = √ 16

x = 4

We have that

sin ∅ = opposite/hypotenuse

sin ∅ = 4/5

It is important to note that the trigonometric identity 'sine' is positive in quadrant 2

sin ∅ = 4/5

Hence, the value of sin ∅ in quadrant 2 is 4/5

Learn more about trigonometric relations here:

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Write this rate as a unit rate 1/7inch 1/14 minute

Answers

Answer:

2 inches per minute

Step-by-step explanation:

CKPenny is selling 50 coats. Each coat with a hood have 5 buttons and each coat without a hood have 10 buttons. If there are 400 buttons among all the coats, how many coats don't have hoods?

Answers

Answer:

40 coats don't have hoods

which of the following inequalities represents all values of x for which the quotient below is defined? sqrt 21(x-1) divided by sqrt 7x²
A. x < -1
B. x > -1
C. x < 1
D. x > 1

Answers

Answer:

the answer to your question is D

The surface area of a cylinder is given by the formula

S = 30πr + 2πr2

How many times greater is this compared to a circle with A = πr2

Answers

Answer:

[tex] x = \frac {30}{r} + 2 [/tex]

Step-by-step explanation:

Given the following data;

S.A of cylinder = 30πr + 2πr²Area of circle = πr²

To find how many times greater is the S.A compared to the area, we would have to divide the surface area (S.A) of the cylinder by the area of circle.

Let the unknown variable be x.

[tex] x = \frac {30 \pi r + 2 \pi r^{2}}{\pi r^{2}} [/tex]

Factorizing the numerator, we have;

[tex] x = \frac {\pi r(30 + 2r)}{\pi r^{2}} [/tex]

Dividing both sides by πr, we have;

[tex] x = \frac {30 + 2r}{r} [/tex]

Simplifying further, we would have;

[tex] x = \frac {30}{r} + 2 [/tex]

5sinA=4, find the value of tanA.​

Answers

Answer: tan A=4/3

Step-by-step explanation:

Theo đề ta có: 5sinA=4 suy ra: sinA=4/5, mà ta đã biết là: sinA= cạnh đối/cạnh huyền, suy ra: cạnh đối của góc A =4, cạnh huyền =5

Áp dụng định lí py ta go ta đc:

5^2=4^2+x^2

=) x=3

Vậy cạnh kề của góc A=3

Mà tanA = cạnh đối/cạnh kề

Vậy giá trị của tanA=4/3

(bạn vẽ hình ra thì có thể nhìn rõ hơn đấy, cảm ơn bạn đã tham khảo câu trả lời của mik)

I NEEEDDDD HELPPPP ITS URGENTTTTT!!!!!! I’ll mark you brainliest

Answers

Answer:

(x+2)^2 + (y-15)^-1 = 64

Step-by-step explanation:

plz mark brainlist

(x + 15)^2 + (y + 1)^2 = 4
if it’s urgent, trust me on this. desmos doesn’t lie ;))

If x and y vary inversely . When x = 4 and y = 2x , what is the value of y when x = 16 ?

Answers

the value of y is thirty-two (32)

It’s 11 but I need help

Answers

A,12/15=4/5

B,20/25=4/5

C,25/30=5/6

D,28/35=4/5

=> C

In the figure. PQ = PR and AQSR = 90°. Write the name of an isosceles triangle and a right angled triangle.​

Answers

Answer:

see explanation

Step-by-step explanation:

Since PQ = PR , that is congruent legs of the triangle, then

Δ PQR is isosceles

Since ∠ QSR = 90° , then

Δ QSR is right angled

due to Deepavali or TV is sold for rupees 14900 after allowing a discount of 23% what is the Marked price​

Answers

Answer:

Correct option is

C

Rs.8000

SP=xRs

CP=(0.8x+600)Rs

P%=14

7

2

%

SP=

100

CP(100+P%)

x=

100

(0.8x+600)(100+

7

100

)

x=

7×100

(0.8x+600)(800)

700x=640x+480,000

x=8,000

Find the rare of change for the situations , You run 7 miles in one hour and 14 miles in two hours

Answers

The rate of change is 7 because its 7 miles per hour

3. The volume of a cube is 216 cm'. What is the length of one side?
O 6 cm
6 cm3
72 cm
O 72 cm

Answers

Answer:

6 cm

Step-by-step explanation:

6 cm×6cm×6cm=216 cm³

6cm should be the answer


often contains information about the author's experiences with the subject matter of
9. The author's introduction to a book, also called a/an
the book.
A. glossary
B. Index
C. table of contents
D. preface


Im quite sure it’s d wanna make sure

Answers

you’re correct, it’s d
The answer is D - preface.

indices-find The value of 6*7^3​

Answers

Answer:

[tex]6 * 7^3 = 2058[/tex]

Step-by-step explanation:

Given

[tex]6 * 7^3[/tex]

Required

Solve

App;y law of indices:

[tex]6 * 7^3 = 6 * 7*7*7[/tex]

Multiply

[tex]6 * 7^3 = 2058[/tex]

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