If AB is parallel to DE, then CD is:

If AB Is Parallel To DE, Then CD Is:

Answers

Answer 1

Answer:

4

Step-by-step explanation:

because BC=CD as it is parallel that means all the sides are equal

Answer 2

The value of CD is 20/3.

The correct option is (A).

What is Similarity in Triangles?

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

In ACB and ECD,

angle CAB= angle DEC

angle CBA= angle EDC

angle DCE = angle ACB

By, AA similarity criteria,

ΔACB~ΔECD

Now,

AC/CE= BC/CD

3/5=4/CD

CD= 20/3

Learn more about similarity property here:

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Related Questions

A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21. Find the number

Answers

Answer:

The number is 5

BRAINLIEST, PLEASE!

Step-by-step explanation:

8x + 2 = 2(21)

8x + 2 = 42

8x = 40

x = 5

In the expression, the value of number is 5.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We can to given that;

The algebraic expression is,

''A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21.''

Now,

Let a number = x

Hence, We can formulate;

⇒ x × 8 + 2 = 2 × 21

⇒ 8x + 2 = 42

Subtract 2 both side,

⇒ 8x + 2 - 2 = 42 - 2

⇒ 8x = 40

Divide by 8;

⇒ x = 5

Thus, The value of number = 5

Learn more about the mathematical expression visit:

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tough one, can any genius help me out?

Answers

Answer:

Both of them. This has a constant slope of -8 and technically starts off after 87.

Simplify the expression.
3 (2 + 9) + 15 simplified is

Answers

Answer: (9)/(15)

Step-by-step explanation:

Start with distributing the 3:

3(2+q)+15 = 6 + 3q + 15

Then combine like terms:

= 3q + 21

Quadrilateral ABCD with parallel sides AB and
CD is shown below.
Quadrilateral RSTU is the image of quadrilateral ABCD after a transformation. Which statement is true?
B
If quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides RS and TU
are not necessarily parallel.
If quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides AB and RS
must be parallel or on the same line.
D
If quadrilateral ABCD is translated to form quadrilateral RSTU, then sides AB and RS are not
necessarily parallel or on the same line.
If quadrilateral ABCD is reflected, rotated, or translated to form quadrilateral RSTU, then sides
RS and T'U must be parallel.

Answers

Answer:

Option D

Step-by-step explanation:

The rotation or reflection will change the direction of the image but the translation will leave the corresponding sides parallel.

Now the answer choices:

A

If quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides RS and TU are not necessarily parallel.

Incorrect. Since RS and TU are parallel sides of same figure, they will remain parallel regardless the mentioned transformation. B

If quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides AB and RS must be parallel or on the same line.

Incorrect. Since AB and RS are corresponding sides of the figures, the rotation will result in different angle between those sides. C

If quadrilateral ABCD is translated to form quadrilateral RSTU, then sides AB and RS are not necessarily parallel or on the same line.

Incorrect. Since it is just  a translation, the corresponding sides will remain parallel. D

If quadrilateral ABCD is reflected, rotated, or translated to form quadrilateral RSTU, then sides RS and T'U must be parallel.

Correct. Since RS and TU are parallel sides of the same figure, they must remain as is regardless the reflection, rotation or translation.

what is an acid or a base​

Answers

an acid is a substance that donates protons ( in the brønsted - lowry definatiom) or accepts a pair of balance electrons to form a bond ( in the Lewis definition ) .

A base is a substance that can accept protons or donate a pair of valence electrons to form a bond . bases can be thought of as the chemical opposite if acids .

hope this helps you

mrk me braniliest plz

Answer:

a acid is a substance that can donate protons . or accepts the balance protons to form a bond .

a base is a substance that can accept protons or donate a pair of valence electrons to form a bond .

In a class of 80 students, 45 are good in math,15 are good in both math and english,13 are good in both math and psychology,16 are good in both english &physchology ,20are good in physchology and 9 are good in all of the three .how many of them are good in mathematics

Answers

Answer:

26 students are good in mathematics only.

28 students are not good in any of the three courses.

can someone explain how to do this? (I would like the answer, but an explanation on how you got it too) - R​

Answers

Answer: When used as a diacritic mark, the term dot is usually reserved for the interpunct, or to the glyphs 'combining dot above' and 'combining dot below' which may be combined with some letters of the extended Latin alphabets in use in Central European languages and Vietnamese

How to find 'w' ?
s is parallel to t​

Answers

Answer:

110°

Step-by-step explanation:

v is 70°, that is opposite to w. The degree of a line is 180°.

180 - 70 = 110

I hope this helps!

pls ❤ and mark brainliest pls!

I need help as soon as possible pleaseeeeeee!!!!!!!

Answers

first youd have to get the least common denominator, which would be 6. you do this by multiplying the denominator and numerator by the number needed to get to the least common denominator. this gives you 1 and 2/6 aswell as 3 and 3/6. from there its easier to count from 1 and 2/6 to 3 and 3/6. the final answer would be 2 and 1/6 unit away.

if this helped please give brainliest!

(4yz)-3(x)
Y=4, z=2, x=-3

Answers

Answer:

=288

Step-by-step explanation:

(4yz)-3(x)

(4(4)(2))-3(-3)

(4x8)x9

32x9

288

Please answer now!
For 66 points!

Answers

Answer:

ok

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

ty for the points so very much

The cost of bowling is $5 per player for shoe rentals and $45 per hour to book a
lane. Suppose a group of f friends go bowling for h hours. Write an expression for
the total cost for the group of friends to go bowling.

Answers

Writing an expression consists of combining two or more variables, symbols, or numbers, with one or more mathematical operators to form a mathematical sentence that is based on a specific context

The expression for the total cost for bowling is 45·h + 5·f

The reason the above expression is correct is as follows:

The given parameters are;

The cost of shoe rentals for bowling per player = $5

The cost to book a lane per hour = $45

The number of people in the group of friends = f

The number of hours the friends go bowling = h

Required:

To write an expression for the total cost for the group of friends to go bowling

Solution:

Let the number of lanes the friends book= 1

The total cost, C, is the cost to book one lane at $45 per hour for h hours, plus the cost for the f number of friends to rent one shoe each at $5 per player (person)

Mathematically,  C = 45·h + 5·f

The expression for the total cost for the group of friends to go bowling, is therefore;

45·h + 5·f

Learn more about mathematical expressions here:

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brainiest to whoever right

Answers

Answer:

Area of a triangle

Step-by-step explanation:

1/2bh is used to find the area for a triangle

Find the decimal number which is exactly halfway between 8.7 and 9.0

Answers

Between 8.7 and 9.0cuh and you not gonna get it wrong

Question
Translate and solve 3084 is what percent of 24,99

Answers

81.03% Hope this helps!

For what values of x and y ( x-2 , y-3) and (2x-6 , 3 ) are   equal to each other.​

Answers

y is given already

[tex]\\ \rm\Rrightarrow 2x-6=2[/tex]

[tex]\\ \rm\Rrightarrow 2x=2+6[/tex]

[tex]\\ \rm\Rrightarrow 2x=8[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{8}{2}[/tex]

[tex]\\ \rm\Rrightarrow x=4[/tex]

Answer:

x = 4; y = 6

Step-by-step explanation:

Set the x-values equal to each other and the y-values equal to each other.

The first value in parentheses is an x-value, and the second value in parentheses is a y-value.

x - 2 = 2x - 6

Subtract x from both sides

-2 = x - 6

Add 6 to both sides to get x by itself on the right.

-2 + 6 = x

4 = x

y - 3 = 3

Add 3 to both sides

y = 6

Check answers for the x-value:

4 - 2 = 2(4) - 6

2 = 8 - 6

2 = 2

Check answers for the y-value:

6 - 3 = 3

3 = 3

Help please and thank you

Answers

Answer:

16

Step-by-step explanation:

(x + 4)(x + 4) = x² + 8x + 16

16! (x+4)(x+4)
You take half of the middle x value (half of 8x in this case). Half of 8 is 4, square that number (4) and you get 16!

Given the functions f(x)=3x−2and g(x)=−4x+1. Find (f+g)(x) and simplify completely.

Answers

[tex]\\ \sf\Rrightarrow f(x)=3x-2[/tex]

[tex]\\ \sf\Rrightarrow g(x)=-4x+1[/tex]

Now

[tex]\\ \sf\Rrightarrow (f+g)(x)[/tex]

[tex]\\ \sf\Rrightarrow f(x)+g(x)[/tex]

[tex]\\ \sf\Rrightarrow 3x-2+(-4x+1)[/tex]

[tex]\\ \sf\Rrightarrow 3x-2-4x+1[/tex]

[tex]\\ \sf\Rrightarrow 3x-4x-2+1[/tex]

[tex]\\ \sf\Rrightarrow -x-1[/tex]

Answer:

(f+g)(x) = -x - 1

Step-by-step explanation:

f(x)=3x−2

g(x)=−4x+1

(f+g)(x) = 3x -2 -4x+1

= -x - 1

PLEASEEE HELP!!!!!!!

Temperatures in Verkhoyansk, Russia have been recorded as low as -90°F and
as high as 98°F. What is the difference between the highest and lowest recorded
temperatures in Verkhoyansk?

Answers

Hi,

The difference is 188 F

solve for X
2x + 5 = 33

Answers

X=14, 2x=28 therefore x=14

Answer:

X = 8

28

Step-by-step explanation:

Here Is How I did this problem:

33 - 5 = 28

X = 8

2x = 28

To Check my answer This is what I did:

28 + 5 = 33

Hope this helps! :)

Express the formula d = rt in terms of the time, t. Use your formula to find the time when the distance is 40 and the rate is 8.
A)t= 4; 1 = 5
B)t= ; t = 0.2
C)t = dr; t = 320
D)t = d-r; t = 32

Answers

Answer:

t = d/r; t = 5

Step-by-step explanation:

Hi there!

1) Isolate t

d = rt

Divide both sides by r

d/r = rt/r

d/r = t

t = d/r

2) Solve for t when distance is 40 and the rate is 8

t = d/r

Replace d with 40 and rate with 8

t = 40/8

t = 5

I hope this helps!

A circle is inscribed with 3 lines. Point x is at the center of the circle. A vertical line goes through point x to point z on the edge of the circle. A horizontal line goes through point x to point y on the edge of the circle. A diagonal line goes through point x to point w on the edge of the circle.
Which line segment is drawn in the figure?

Line segment Y Z
Line segment W Y
Line segment X Z
Line segment W Z

Answers

Answer:

the correct answer is

Line segment X Z

Answer:

Line segment X Z

Step-by-step explanation:

12=-4(-6x-3) please help

Answers

Step-by-step explanation:

12=-4(-6x-3)

when minus is multiplied by minus then the result is plus,

12=24x+12

Now, subtract 12 from both sides,

12-12=24x+12-12

0=24x

Now, divide both sides by 24

0/24=24x/24

0=x

Answer and Step-by-step explanation:

First, distribute the negative 4 onto the negative 6x and negative 3.

12 = 24x + 12

Subtract 12 from both sides of the equation.

0 = 24x

Divide both sides of the equation by 24.

x = 0

To check our answer:

-4(-6(0) - 3) = 12

-4(0 - 3) = 12

-4(-3) = 12

12 = 12 ✓

So, x is equal to 0.

#teamtrees #PAW (Plant And Water)

I hope this helps!

PLEASE HELP

X+11/8 = -3

Show your work in details if you can, I have a hard time understanding this.

Answers

Answer:

[tex] \frac{x + 11}{8} = - 3 \\ x + 11 = - 3 .8 \\ x = - 24 - 11 \\ x = - 33[/tex]

maaf jika salah

Answer:

x=-35

Step-by-step explanation:

x+11=-3*8

x+11=-24

x=-24-11

x=-35

What is the answer and method for this equation?

Answers

Answer:

X = 15/16

Step-by-step explanation:

2(4-8x) + 6 = -1

8 - 16x + 6 = -1

14 - 16x = -1

-16x = -1 -14

-16x = -15

X = 15/16

Answer:

[tex]2(4 - 8x) + 6 = - 1 \\ 8 - 16x + 6 = - 1 \\ - 16x = - 1 - 6 - 8 \\ - 16x = -15 \\ 16x = 15 \\ \boxed{x = \frac{15}{16} }[/tex]

x=15/16 is the right answer.

Referring to the figure, find the area of the
trapezoid shown.

Answers

The shape is 2 triangles. Find the area of each one and add them together.

1/2 x 6 x 10 = 30

1/2 x 10 x 12 = 60

30 + 60 = 90

Area = 90 square inches

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄Given :Base (a) = 12 in.Base (b) = 6 in.Height (h) = 10 in.To Find :Area of Trapezoid

Formula used : ½ (a + b) h

Solution :

Area of Trapezoid = ½ (a + b) h

= ½ (12 + 6) 10

= ½ × 18 × 10

= 1 × 9 × 10

= 9 × 10

= 90 in.²

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

what is the mid point of (27,3) and (18,-1)

Answers

Answer:

(22.5 , 1)

Step-by-step explanation:

Midpoint formula= [tex]\frac{x^1+x^{2} }{2} +\frac{y^{1} +2^{2} }{2} =Midpoint[/tex]

[tex]\frac{27+18}{2}[/tex]=22.5

3+-1=2

2/2=1

So, midpoint is (22.5 , 1)

You can also graph it out and use Pythagorean theorem but that would overcomplicate the problem.

if (a°+10°)and (a°+20°)are supplementry angles ,find them​

Answers

Step-by-step explanation:

a°+10°+a°+20°=180

becasue sum of angle of suplimentary angles is 180.

2a+30=180

2a=180-30

2a=150

a=75

(12m^7-36m) ÷6m
Please answer. Really need help

Answers

[tex]2 {m}^{8} - 6 {m}^{2} [/tex]

Step-by-step explanation:

[tex](12 {m}^{7} - 36m) \div 6m[/tex]

➡️ [tex] \frac{1 {2m}^{7} - 36m }{6} \times m[/tex]

➡️ [tex] \frac{6(2 {m}^{7} - 6m)}{6} \times m[/tex]

➡️ [tex](2 {m}^{7} - 6m)m[/tex]

➡️ [tex]2 {m}^{8} - 6 {m}^{2} [/tex]

Please Help! I will give you a lot of points if you do!

-It's NOT regular subtraction. You have to use Hindu-Arabic number system. If you don't and just use our regular number system then I will report you and give you a red flag

Answers

Answer:

377

Step-by-step explanation:

See attached.

Step-by-step explanation:

510 (base eight)

-111 (base eight)

___

377 (base eight)

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