AC=36cm, and BC=27cm. Verify that DE\\AB.

$AC=36cm, And BC=27cm. Verify That DE\\AB.$

Answers

Answer 1

Answer:

[tex]\overline {DE} \parallel \overline{AB}[/tex] because [tex]\frac{EC}{DC} = \frac{AC}{BC}[/tex].

Step-by-step explanation:

According to the Theorem of Thales and definition of proportionality, [tex]\overline {DE} \parallel \overline{AB}[/tex] if and only if [tex]\frac{EC}{DC} = \frac{AC}{BC}[/tex]. If we know that [tex]EC = 15\,cm[/tex], [tex]DC = 20\,cm[/tex], [tex]BC = 36\,cm[/tex] and [tex]AC = 27\,cm[/tex], then we have the following result:

[tex]\frac{15\,cm}{20\,cm} = \frac{27\,cm}{36\,cm}[/tex]

[tex]\frac{3}{4} = \frac{3}{4}[/tex]

Hence, [tex]\overline {DE} \parallel \overline{AB}[/tex].

Related Questions

What is the discontinuity and zero of the function f(x) = the quantity of 3 x squared plus x minus 4, all over x minus 1 ? (Radical Expressions)
Discontinuity at (−1, 1), zero at ( four thirds , 0)
Discontinuity at (−1, 1), zero at ( negative four thirds , 0)
Discontinuity at (1, 7), zero at ( four thirds , 0)
Discontinuity at (1, 7), zero at ( negtive four thirds , 0)

Answers

Answer:

Discontinuity at (1, 7), zero at (-4/3 , 0)

Step-by-step explanation:

[tex]3x^{2} + x - 4[/tex] = (3x + 4)(x - 1) = 0

x = -4/3 or 1

But x = 1 makes f(x) undefined, so there is discontinuity at x = 1

and there is a zero at x = -4/3.

3x + 4 = 3(1) + 4 = 3 + 4 = 7

If you were to graph this function, then you would get the line y = 3x + 4 with a hole at (1, 7). The line would cross the x-axis at (-4/3, 0) with discontinuity at (1, 7)

The answer is the 1.7. You eject know that because

P IS A RECTANGLE WITH A LENGTH OF 80 AND WIDTH OF X.Q IS A RECTANGLE WITHA A WIDTH OF 9.THE LENGTH OF Q IS 25 %MORE THEN THE LENGTH OF P.AREA OD Q IS 20% LESS THEN THE AREA OF P.WORK OUT THE RATIO OF X;Y

Answers

Answer:

X:Y = 3/20

Step-by-step explanation:

Given -

Length of rectangle P = 80

Width of rectangle P = X

Length of rectangle Q, Y = 25% more than the length of rectangle P

Length of rectangle Q = 1.25 X

Width of rectangle Q = 9

Area of rectangle P = 80X

Area of Q = 0.75 % of area of rectangle P

Area of Q = 0.75 * 80X = 60 X

or 9Y = 60 X

X:Y = 9/60

X:Y = 3/20

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Answers

The answer is C, point P

EASY MATH PLEASE HELP!! : )
NO LINKS PLEASE
EXPLANATION REQUIRED!!

A marathon is a 26.2 mile run. Four friends wanted to run an equal amount of the race. The first runner developed an injury after 0.7 miles. How much will each of the remaining runners have to run?
A) 12 miles
B) 6.55 miles
C) 8.5 miles
D) 13.1 miles

Answers

Answer:

Hello! answer: 8.5 miles

Step-by-step explanation:

26.2 - 0.7 = 25.5 25.5 ÷ 3 = 8.5 therefore each runner has 8.5 miles each to run HOPE THAT HELPS!

Answer:

C) 8.5 miles

Step-by-step explanation:

26.2-.7=25.5

25.5/3=8.5

The cost a dog walker for n hours is given by f(n) = 5 + 10n. Which statement is true?

A. For each additional hour of service, the price of the dog walker increases by $15.
B. For each additional hour of service, the price of the dog walker increases by $5.
C. For each additional hour of service, the price of the dog walker increases by $10.
D. For each additional hour of service, the price of the dog walker decreases by $10.

Answers

Answer:

C. For each additional hour of service, the price of the dog walker increases by $10.

Step-by-step explanation:

Hope this helps!

how do u do number 10?

Answers

Answer:

C is the correct option

Multiply the number is parentheses “( )” then the number outside the parentheses. Finally look for the answer that is equivalent to the given equation

Name
1 Translate rectangle ABCD three units to the left
and five units up. Label it ABCD
2. Figure ABC is dited by a sole rector of
Draw and obel the new tre
A

Answers

hi i don’t know what any of this mean I just want u to have an bless day ;)) !

PLEASE HELPP :(

Does the relationship shown in the table represent a direct or inverse variation relationship?

A: Direct, as x increases, y also increases
B: Direct, as x increases, y decreases
C: Inverse, as x increases, y also increases
D: Inverse, as x increases, y decreases

Answers

Step-by-step explanation:

i think

C: Inverse, as x increases, y also increases

Step-by-step explanation:

C: Inverse, as x increases, y also increases

hope it is helpful to you

Which of the following is a true biconditional statement?
O
A. I walk one mile to the store if and only if the store is 5280 feet
away.
B. A person practices yoga if and only the person is relaxed.
c. I wear my raincoat if and only if it is raining.
D. An athlete wears a hat if and only if the athlete is on a baseball
team.

Answers

Answer:

C. I wear my raincoat if and only if it's raining

Which of the following is equivalent to the expression 2/5x4

Answers

Answer:

1 3/5, 1.6 or 8/5

Step-by-step explanation:

Use this rule a/bxc=ac/b

2*4/5

Simplify 2*4 to 8

8/5

Convert to mixed fraction

1 3/5

Decimal form:1.6

Help PLEASE ILL MARK BRAINLIEST!!!

Mario ran backwards 5 spaces then jumped up 3 spaces. How can we show this as an ordered pair?

Answers

I need points pleaseeee

(x-5, y+3)

explanation: going backwards represents subtraction on the x-axis so it would be -5 and jumping up represents increasing the y-axis so it would be +3

Solve 9x + 18 = 6y - 3x for y

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

15 cm
15 cm
16 cm
20 cm
57 cm
What is the area of the polygon?

Answers

Answer:

this is insolveable

Step-by-step explanation:

. The product of 3V5 and 6v5 is

Answers

the product of 3v5 and 16v5 is 18v^10

Please help with this question

Answers

a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
5 = c

A restaurant offers pizzas with 2 types of crust, 6 different toppings, and in 5 different sizes. How many different pizzas could be ordered?

Answers

Answer: 60

Step-by-step explanation:

Given

The restaurant offers 2 types of crust, 6 different toppings, and 5 different sizes

The number of different Pizzas that can be ordered is [tex]2\times 6\times 5[/tex]

Here, multiplication operation is performed because each offers variation to the pizza.

So, the total varieties are [tex]60[/tex]

describe an experiment that the sound propagates in solid

for class 7

Answers

Step-by-step explanation:

Take two empty ice cream cups. Make a small hole at the bottom of each cup and pass a long thread through them. Tie a knot or match stick at each end of the thread so that the thread does not slip out through the holes. ... Thus, sound can travel through a solid

Answer:

Now use the toy telephone as shown in figure and talk to your friend . You will be able to hear the sound of your friend . This shows that sound travels through the thread and reaches your ear. Thus , sound can travel through a solid.

For the quadratic y = x^2 -7x +12, when x = -3, what is the y-value?

Answers

Answer:

y = 0

Step-by-step explanation:

subsitute x = -3 into y = x^2 - 7x + 12

y = -3^2 - 7 x -3 + 12

= 9 - 21 + 12

= 0

Answer: 42

Step-by-step explanation:

y= (-3)^2 -7(-3) +12

= (9) -(-21) +12

= 9+21+12

= 42

Look at this shape:
Which image shows a translation?

Answers

Answer:

The option C

Step-by-step explanation:

In the option A and B the image is been showed in either up-side down or mirror image. Only the option C has the image in a correct way and just moved the shape in a different position

The solution is Option C.

The image which shows a translation is Figure C.

What is Translation?

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the figure be represented as F

Now , the figure is translated up , down, or from side to side

The size of the figure does not change on translation

The figure A has been inverted and it is not a transformation of translation

So , the Figure A is false

The Figure B has been reflected by a factor , and reflection changes the coordinates of the figure F

So , Figure F is False

The Figure C is translated by a factor of x to the left and y to downwards

The size of the figure remains the same

So , Figure C is a translation of Figure F

Hence , the figure C is a translation

To learn more about translation click :

https://brainly.com/question/19007400

#SPJ2

when will i ask another question

Answers

Answer:

I don t understand what you are saying

Answer:

tomorrow

Step-by-step explanation:

I need answer immediately pls!!!!!!!

Answers

given:
total students: 27
basketball: 7
baseball: 18
neither: 7

students who play either basketball or baseball: 27-7=20

18+7=25
25-20=5 <- number of students who play both basketball or baseball

number of students who play both/total
5/27 is your answer

HELP PLEASEEEE I WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

we need to make two rectangles.

one that is 13.1 Km X (9.3-4.2) Km

13.1 * 5.1 = 66.81

the next box is 4.2 X (13.1-8.1)

4.2*5 = 21

area total = 21 + 66.81 = 87.81[tex]Km^{2}[/tex]

Mary made 1/5 of a batch of cookies in 1/10th of an hour, how many batches of cookies can she make in one hour? This is unit rate with fractions.

Answers

Answer:

1/5 ÷ 1/10 = 10/5

Step-by-step explanation:

QUESTION IN THE PICTURE!

Answers

Answer:

Step-by-step explanation:

i used my calculator

Helpppp meeeee plssss

Answers

DONT open file it’s a scam and tracker please don’t open it

Based on the given information, find the measure
of arc DC. (Hint: Try to find angle DBC first.)

Answers

Answer:

122degrees

Step-by-step explanation:

Since triangle BDC is a triangle, hence;

49 + 70 + <DBC = 180

<DBC = 180 - (70+49)

<DBC = 180 - 119

<DBC = 61

Since angle at the vertex is half the angle of its intercepted arc, then;

<DBC = 1/2 x

61 = 1/2 x

x = 61 * 2

x = 122degrees

Hence the measure of arcDC is 122degrees

I need help with this math problem
The sum of 3 and b are greater than or equal to -16
Please help me!!!

Answers

Step-by-step explanation:

i believe thats the answer

help please fast it’s due todag

Answers

Answer:

-1

Step-by-step explanation:

To find the slope given two points use the formula

m = ( y2-y1)/(x2-x1)

= ( 8-2)/(4-10)

= 6/-6

= -1

Please answer if true or false, thank you! links = report

Answers

Answer:

see explanation

Step-by-step explanation:

a: false

b: true

c: true

d: true

hope this helps!

A boat leaves the dock and travels 7 miles due south, then 24 miles due west.

How far is the boat from the dock?

A. 625 mi
B. 31 mi
C. 17 mi
D. 25 mi

Answers

Answer:

Step-by-step explanation:

The boat is a distance of 25 miles far away from the dock. which is the correct would be an option (D).

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

A boat leaves the dock and travels 7 miles due south, then 24 miles due west which is given in the question.

According to Pythagoras's theorem,

In a right-angled triangle, "the square of the hypotenuse is equal to the sum of the squares of the other two sides."

perpendicular²+base²=hypotenuse²

The hypotenuse = c

Here , perpendicular = 7 and base = 24

⇒ 24² + 7² = c²

⇒ 576 + 49 = c²

⇒ 625 = c²

⇒ c² = 625

⇒ c = 25

Therefore, the boat is a distance of 25 miles far away from the dock.

Learn more about the right triangle here:

brainly.com/question/6322314

#SPJ2

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