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
Answers
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.
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.
To learn more about the similar triangles visit:
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Related Questions
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
if it’s urgent, trust me on this. desmos doesn’t lie ;))
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)
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
HELP ASAP PLEASEREEEEE
Answers
Answer:
uh
Step-by-step explanation:
my guy, I DK.
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
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:
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
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
steps to describe an inscribed regular hexagon.
Answers
Answer:
many sides
unique shape
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
Write this rate as a unit rate 1/7inch 1/14 minute
Answers
Answer:
2 inches per minute
Step-by-step explanation:
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]
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
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
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
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.
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
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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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
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 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.
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 = πr²To 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]
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]
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)
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)
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
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).
