Which graph shows a dilation?

Answer: The value of x in trapezoid ABCD is 15

Step-by-step explanation: The trapezoid as described in the question has two bases which are AB and DC and these are parallel. Also it has sides AD and BC described as congruent (that is, equal in length or measurement). These descriptions makes trapezoid ABCD an isosceles trapezoid.

One of the properties of an isosceles trapezoid is that the angles on either side of the two bases are equal. Since line AD is equal to line BC, then angle D is equal to angle C. It also implies that angle A is equal to angle B.

With that bit of information we can conclude that the angles in the trapezoid are identified as 3x, 3x, 9x and 9x.

Also the sum of angles in a quadrilateral equals 360. We can now express this as follows;

3x + 3x + 9x + 9x = 360

24x = 360

Divide both sides of the equation by 24

x = 15

Therefore, in trapezoid ABCD

x = 15  

Answer:

x=15

Step-by-step explanation:

Answer: 2.5 hours or 2 hr and 30 min

Step-by-step explanation:

We can set up an equation to find how many hours you can park.

2.5+4x=12.5

The 2.5 comes from the base fee. The 4x is the hourly rate, where x is hours. The 12.5 is the total amount of money you have.

Since we have our equation, we can solve for x.

4x=10

x=2.5

You can park for 2.5 hours, or 2 hours and 30 min.

Answer:

The slope of the line will be ZERO.

From the question given above, we are told that when the freezer is working perfectly that the temperature will remain constant over time. This means that if the graph of temperature and time is drawn, the slope of the graph will be constant from one point of the graph to the other, which means that the values will cancel each other out and will be zero.

Answer:

The smaller exterior angle is the exterior angle in the vertex P, and it measures 90°

Step-by-step explanation:

The sum of the internal angles of a triangle needs to be 180 degrees, so we have two equations:

[tex]mP = mQ + mR[/tex]

[tex]mP + mQ + mR = 180\°[/tex]

Substituting [tex]mQ + mR[/tex] by [tex]mP[/tex] in the second equation, we have:

[tex]mP + mP = 180\°[/tex]

[tex]mP = 90\°[/tex]

The other two angles need to be lesser than mP, and the exterior angle is the supplement of the internal angle, so the bigger the internal angle, the smaller the exterior angle.

So if the bigger internal angle in this triangle is mP, the smaller exterior angle is also the angle in the vertex P:

[tex]exteriorP = 180\° - mP[/tex]

[tex]exteriorP = 90\°[/tex]

Answer:

rational

Step-by-step explanation:

Answer:

Rational Number

Step-by-step explanation:

A repeating decimal added to a fraction will result in a rational number.

Answer:

27°

Step-by-step explanation:

Angle ABC is 90°

ACB is 63 because it is vertically opposite angle GCJ

Angle CAB is 27° (90-63)

angle x is 27° (vertically opposite CAB)

Answer:

B.

D.

Step-by-step explanation:

Step-by-step explanation:

Let the numbers be x and y

2 consecutive even nos.

therefore y = x+2

twice of the first (2x) is 46 more than y

2x = y+46

Solving both the equations

x - y + 2 = 0

(-)2x - y - 46 = 0

____________

-x + 0 + 48 = 0

____________

x = 48

y = x+2

= 48 +2

= 50

Therefore the 2 nos. are 48 and 50

Hope this answers helps you

Answer:

Step-by-step explanation:

there is no soltion because it is not intersects

Answer:

No solution as it will not intersect.

Answer:

2/3

Step-by-step explanation:

f(x)=g(x)

-3x+4=2

Add 3x

3x+2=4

subtract 2

3x=2

divide by 3

x=2/3

Answer:

x= 2/3

Step-by-step explanation:

The value where f(x) = g(x) is where the two functions intersect

That would be at

f(x) = g(x)

-3x +4 = 2

Subtract 2 from each side

-3x = -2

x = 2/3

We know the y value.  Substitute x into the equation

g(2/3) = 2

y = 2

The point is (2/3,2)

Answer:

45 people prefered coffee, 81 people prefered tea. A total of 126 people were surveyed.

Step-by-step explanation:

Let t be the people who prefer tea, and let c be the people who prefer coffee.

The ratio between tea and coffee is 9:5, thus we have t/c=9/5. Cross products  give us 5t=9c.

Also, we have 36 more people prefer tea than coffee, so we have c+36=t

Thus we have: 5(c+36)=9c

5c+180=9c

180=4c

c=45

c+36=t

45+36=81

Answer:

x = 2

y = 1

Step-by-step explanation:

3x - y = 5..............(1)× 1

2x + y = 5...….......(2)× 1

3x - y = 5..............(3)

2x + y = 5.............(4)

Cancel y

3x + 2x = 5 + 5

5x = 10

Divide both sides by 5

x = 2

Substitute for the value of y

3x - y = 5

3(2) - y = 5

6 - y = 5

6 - 5 = y

1 = y

y = 1

Answer:

a = 94

b = -66√3

Step-by-step explanation:

Given  z = [tex]-1-i\sqrt{3}[/tex]

[tex]z^{6}=(z^{3})^{2}[/tex]

[tex](-1-i\sqrt{3})^6=[(-1-i\sqrt{3})^3]^2[/tex]

                   [tex]=[-(1+i\sqrt{3})^3]^{2}[/tex]

                   [tex]=[(1+i\sqrt{3})^3]^2[/tex]

                   [tex]=[(1)^3+(i\sqrt{3})^3+3(1)^2(i\sqrt{3})+3(1)(i\sqrt{3})^2]^2[/tex] [(a + b)³ = a³ + b³ + 3a²b + 3ab²]

                   = [1 + 3i² + 3i√3 + 9i²]²

                   = [1 - 3 + 3i√3 - 9]²

                   = [-11 + 3i√3]²

                   = (11)² -2(3i√3)(11) + (3i√3)²

                   = 121 - 66i√3 + 27i²

                   = 121 - 66i√3 - 27

                   = (94 - 66i√3)

Comparing it with (a + bi),

a = 94 and  b = -66√3

Answer:

C

Step-by-step explanation:

Δ AQP and Δ ACB are similar triangles, thus the ratios of corresponding sides are equal, that is

[tex]\frac{AQ}{AC}[/tex] = [tex]\frac{PQ}{BC}[/tex] ( note that AC = 3 + 6 = 9 ), substitute values

[tex]\frac{3}{9}[/tex] = [tex]\frac{4.5}{BC}[/tex] ( cross- multiply )

3BC = 40.5 ( divide both sides by 3 )

BC = 13,5 cm → C

Answer:

4 2/3

Step-by-step explanation:

[tex]x^4x^{2/3}= \\\\x^{4+2/3}= \\\\x^{4 \ 2/3}[/tex]

Therefore, a= 4 2/3.

Hope this helps!

Answer:

Step-by-step explanation:

Not liking rock mostly doesn't effect not liking just rap, since half like both rock and rap.

Though, there are 2 more people that like just rock compared to just rap, so you are more likely to like just rock.

Additionally, if you don't like rock, there is a 31.4 % that you don't like rap as well, since 17 people like neither.

Answer:

I think it is D

Step-by-step explanation:

Its saying that f of x is four times x. So if x was one it could be four. But if x was greater than one it would be higher than one. Therefore, I think that the answer should be all real numbers greater than or equal to four.

Hope this helped!!! Let me know if I was correct. Haven't done this in years.

Answer:

d

Step-by-step explanation:

Answer:

m∠1 = 90°

m∠2 = 55°

Step-by-step explanation:

1. m∠1 = 90° because by definition, the diagonals of a rhombus are perpendicular, or intersect at 90°.

2. Because of vertical angles, the angle opposite of ∠1 is also 90°. A triangle has a total of 180°.

m∠2 + 90 + 35 = 180

90 + 35 = 125

m∠2 + 125 = 180

subtract 125 from both sides to solve for m∠2

m∠2 = 55°

hope it helps you tell me in the comment box

(•‿•)

Answer:

0

Step-by-step explanation:

The only possible outcomes on the die are 1,2,3,4,5,6.

Since 7 is not in the possible outcome list, It is impossible to obtain a 7 on this 6-sided die.

If the question had asked for the probability of other values, it would have been 1/6, because you can get each number at least once every 6 rolls. This, however varies in terms of experimental probability

Hope this helps

Answer:

7

Step-by-step explanation:

CD is congruent to BC by CPCTC.

Answer:

a) 2 -2 -4 -4 -2 2 8

b) graph B

c) x = -2.55 or x=1.55

Step-by-step explanation:

a) just fill in the x values

b) look at x=0, you'll find y=-4. Only graph B goes through (0, -4)

c) estimate where graph B passes through the x axis.

Answer:

1. Semi-regular tessellations are made from multiple regular polygons.

2. There are an infinite number of figures that form irregular tessellations!

3. You can create irregular polygons that tessellate the plane easily, by cutting out and adding symmetrically.

An irregular tessellation

An irregular tessellation is simply a group of figures which does not include any regular polygons.

In other words, an irregular tessellation is a group of irregular shapes.

The number of irregular tessellations

There are several irregular shapes and figures that make up an irregular tessellation.

This means that the number of irregular tessellation is non-finite.

How to create an irregular tessellation

There are several ways to do this. Some of them include;

See attachment for an instance of an irregular tessellation

Read more about irregular tessellation at:

https://brainly.com/question/10628997

Answer:

The answer is option 2.

Step-by-step explanation:

You have to substitute the value of y into the equation :

[tex]8x - 2y = 48[/tex]

[tex]let \: y = 4[/tex]

[tex]8x - 2(4) = 48[/tex]

[tex]8x - 8 = 48[/tex]

[tex]8x = 48 + 8[/tex]

[tex]8x = 56[/tex]

[tex]x = 56 \div 8[/tex]

[tex]x = 7[/tex]

The value of x in the equation 8x - 2y = 48 is 7.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have,

8x - 2y = 48

Now, for y=4 put the value of y as 4 in given equation we get

8x- 2(4)= 48

8x -8= 48

8x = 48+ 8

8x = 56

x= 56/8

x= 7

Thus, the value of x is 7.

Learn more about Equation here:https://brainly.com/question/29657983

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Answer:B

Step-by-step explanation:

Answer:

The real correct answer is C

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Diameter = 4.4 cm

Radius = 2.2 cm

Now

Area of the circle = πr²

= (3.14)(2.2)²

= (3.14)(4.84)

= 15.1976 cm²

Answer:

A.

Step-by-step explanation:

D=4.4, therefore, the Radius is equal to 2.2, half of the diameter.

The formula for Area:

A=pir^2.

A=(3.14)(2.2)^2

A=(3.14)(4.84)

A=15.1976

A=15.1976, which is identical to option A.

Answer:

the best estimate is 25 cm

Step-by-step explanation:

the best estimate is 25 cm

because A would be too small

C too long

D way too much

Answer:

C ) 25 is your answer

Step-by-step explanation:

the other answers are unreasonable and don't make

sense so this is your best estimate.

Answer:

Area of a semi circle is 1/2πr²

r = radius

Area = 1/2 × π × 18²

= 162π

= 508.94km²

Hope this helps.

Answer:

Step-by-step explanation:

[tex]r= 18\\A of semicircle = \frac{\pi*r^{2} }{2} \\A = \frac{3.14 *18^2}{2} \\\\A = \frac{3.14*324}{2} \\\\A = \frac{1,017.36‬}{2} \\A = 508.68[/tex]

Answer:

X = 0

Step-by-step explanation: