Sue has one spin of the circular spinner shown below.
Two of the lines shown on the diagram are diameters of the circle.
BLUE
RED
GREEN
WHITE
YELLOW
The table below shows the probabilities of Sue obtaining YELLOW, WHITE and
GREEN with one spin of the spinner.
Complete the table.
Colour
YELLOW
WHITE
GREEN
RED
BLUE
Probability
0.2
0.18
0.12

Answer:

The area of ∆DEF = 4.5in²

Step-by-step explanation:

From the above diagram,

∆BAC ~∆DEF

It is important to note that if two triangles are similar, the ratio of their areas is equal or equivalent to the ratio of the areas of their sides

This means for the above question, that

We have the bigger triangle = ∆BAC has a side of 4 in and Area = 8 in²

The small triangle has a side of 3in

Finding the scale factor k = ratio of the sides of both Triangles

k = 4/3

k² = (4/3)²

k² = 16/9

Hence,

Area of ∆BAC/ Area of ∆DEF = 16/9

8in²/Area of ∆DEF = 16/9

We cross Multiply

8 in² × 9 = Area of ∆DEF × 16

Divide both sides by 16

Area of ∆DEF = 72/16

= 4.5in²

Therefore, the Area of ∆DEF rounded to the nearest tenth = 4.5in²

Answer:

Solution,

Let the number be X

60% of X=13.5

[tex] \frac{60}{100} \times x = 13.5 \\ or \: \frac{60x}{100} = 13.5 \\ or \: 60x = 1350(cross \: multiplication) \\ or \: x = \frac{1350}{60} \\ x = 22.5[/tex]

hope this helps...

Good luck on your assignment..

Answer:

22.5

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Parallel lines have the same slope but different y-int. So if our original equation is y = 2x + 1, then the other equation would have to be y = 2x + b, where b ≠ 1. Only answer C. works.

Answer:

The answer is C) y-1=2(x-3)

Step-by-step explanation:

Two equations are parallel if they have the same slope and different y-intercepts. In the answer (c) 2 represents the slope which is also the slope of the original equation. y=2x-5is the equation that you get when you distibute and isolate y.

Option B is the correct option.

please see the attached picture for full solution..

Hope it helps...

Good luck on your assignment....

Answer:

Option A

Step-by-step explanation:

The triangle most likely got translated. A translation is a rigid transformation. Rigid transformed shapes have the same angle measure and side lengths.

Option A should be the correct answer.

Side Note: You can also tell that the markings on the triangle are the same. This means that the shapes are congruent. They are just in different positions.

The true statement is (a) the transformation is rigid because corresponding side lengths and angles are congruent.

From the figure, we have the following highlights

The above means that the transformation from one triangle to the other is a rigid transformation

Hence, the true statement is (a)

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Answer:

A) 12

Step-by-step explanation:

Since triangles YRZ and QRS are similar by AA, the ratio of their sides should be constant. Since RY=QY, let's call that side length y.

[tex]\dfrac{x+2}{y}=\dfrac{3x-8}{2y}[/tex]

Multiply both sides by 2y:

[tex]2(x+2)=3x-8 \\\\2x+4=3x-8 \\\\4=x-8 \\\\x=12[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

The third picture with 4.5 being theu put the answer is 9.5 not 3

everything else seems good to me

Answer:

The (GCF) greatest common factor is 3

hope this helps ;)

Step-by-step explanation:

Answer:

LCF = 3

Step-by-step explanation:

The factors of 9 are: 1, 3, 9

The factors of 15 are: 1, 3, 5, 15

The least common factor is 3. It is the lowest number that is a factor of both 9 and 15. Technically, 3 is the GCF and the LCF because it is the only common factor of 9 and 15.

I hope this helps!!

Answer:

The equivalent of 5.651 mi is 9945.76  yards

Step-by-step explanation:

Given:

Length of lake = 5.651 mi

Required:

Length of bridge in yards

From table of facts;

1 mile = 1760 yards

This implies that

5.651 miles will be:5.651 * 1760 yards

5.651 * 1760 yards = 9945.76  yards

5.651 * 1760 yards = 9945.8  yards (Aproximated)

Hence, the equivalent of 5.651 mi is 9945.76  yards

Answer:

Option (1)

Step-by-step explanation:

Parent function for both parabolas graphed is, y = x²

For the large parabola,

This parabola is formed by translating the parent function 4 units downwards.

So the equation will be, y = x² - 4

Now graph of the inequality shows the dotted line with shaded area inside the parabola,

Equation of the parabola will be,

y > x² - 4

Similarly, equation of the other parabola will be,

y < x² + 6 [Since shaded region is the region outside the dotted lines of the parabola]

So the system of inequalities will be,

y > x² - 4

y < x² + 6

Therefore, Option (1) will be the answer.

Answer:

Brainliest goes to me

Step-by-step explanation:

if you solved it... it would be 8.75

but you can't like 0.75 of a color so it isn't possible

0.75 is to be rounded up so I would do 9

Answer:All you have to do is multiply

Step-by-step explanation:

Answer:

270°

Step-by-step explanation:

Full circle length is 2πr= πd= 8π

6π/8π= x/360

3/4= x/360

x= 3*360/4

x= 270°

Answer:

This is true.

Answer:

225 seashells

Step-by-step explanation:

4:9

100:x

Cross multiply the ratios.

4x=900

x=900/4

x=225

Answer:

(C)x=3

Step-by-step explanation:

We want to solve for x in: [tex]\dfrac{x}{x-1} -\dfrac{1}{x-2}=\dfrac{2x-5}{x^2-3x+2}[/tex]

Take the LCM of the Left Hand Side

[tex]\dfrac{x(x-2)-1(x-1)}{(x-1)(x-2)} =\dfrac{2x-5}{x^2-3x+2}\\\dfrac{x(x-2)-1(x-1)}{x^2-3x+2} =\dfrac{2x-5}{x^2-3x+2}\\$Since we have the same denominator, then:\\x(x-2)-1(x-1)=2x-5\\x^2-2x-x+1-2x+5=0\\x^2-5x+6=0\\$Factorize\\x^2-3x-2x+6=0\\x(x-3)-2(x-3)=0\\(x-3)(x-2)=0\\x-3=0$ or $x-2=0\\x=3$ or x=2[/tex]

However, substituting x=2 does not satisfy the given equation as it would make it undefined.

Therefore x=3

Answer:

The answer is 6,674.322

Step-by-step explanation:

An easy way to solve this is to move the decimal point up by one space.

You could also multiply 66,743.22 by 0.1 and you would get the answer.

Hope this helps :)

Answer:

6674.322

Step-by-step explanation:

To find 10% we move the decimal one place to the left

66,743.22  moves one place to the left

6674.322

Answer:

D.) The x-coordinate of the center of the circle decreased by 2

Step-by-step explanation:

(consult the diagram attached below)

Consider a circle

(x - 2)² + (y - 3)² =25

Where (h, k ) = (2, 3) which is the center of the circle.

When we want to move the circle to the left by 2 units, it also means the the center of the circle will move 2 units to the left.

If center of the circle moves 2 units to the left, it means that the x coordinate of the center of the circle will be decreases by 2 units, while y coordinate will remain the same.

Hence the new coordinate for the center of the circle is (2-2, 3) = (0, 3)

The new equation of circle will be:

(x - 0)² + (y - 3)² =25

(x )² + (y - 3)² =25

Answer:

Probability = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Total numbers on dice = 6

Those number which are a factor of eight = 3 (1,2,4)

Probability = [tex]\frac{No.OfPossibleOutcomes}{TotalNo. OfOutcomes}[/tex]

Probability = [tex]\frac{3}{6}[/tex]

Probability = [tex]\frac{1}{2}[/tex]

Answer:

1/2

Step-by-step explanation:

hope it helps.

all the best

Answer:

15

Step-by-step explanation:

30/2 = 15

Answer:

7

Step-by-step explanation:

Hey, sorry if this is a little late, but think of the tiles in an arrangement where 4 fit into a rectangle type thing. Now, since you want to find the maximum number of boards, find the closest number that you can multiply by 4 to get something close to 30. Here, you can see that 7x4=28, which is both an even number and the closest number to 30 as you can get. So, the answer is 7.

Answer:

rounding to the thousandths place, the answer is 0.714

Step-by-step explanation:

This can easily be looked up on google

Answer:

1 book and 7 tenths of another book

Step-by-step explanation:

Answer:

.625

Step-by-step explanation:

5/8= About .6

.6x8=4.8

.02x8=.16

.005x8=.04

48+1.6=4.96

49.6+.4=5.0

Answer:-3

Step-by-step explanation:

promise its B

The restriction on the domain of f (x) = (x + 5) / (x - 2) will be;

⇒ x ≠ 2

What is Domain?

The set of all inputs of the function is called Domain of set.

Given that;

The function is,

⇒ f (x) = (x + 5) / (x - 2)

Now,

Since, We know that;

In the Rational function A (x) / B (x), the Restrictions of the Domain are those Real numbers that make the denominator equal to zero, because the division by zero is not defined.

So, We get;

The restriction on the domain of f (x) = (x + 5) / (x - 2) is find as;

Make the denominator zero and solve for x as;

x - 2 = 0

x = 2

Thus, The restriction on the domain of f (x) = (x + 5) / (x - 2) is includes all x not equal to 2.

Therefore, The restriction on the domain of f (x) = (x + 5) / (x - 2) will be;

⇒ x ≠ 2

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Answer:

x ≈ 31.3°

Step-by-step explanation:

We can use sin∅ to solve this:

sinx = 13/25

x = [tex]sin^{-1}(13/25)[/tex]

x = 32.3323

Answer:

See below.

Step-by-step explanation:

It is known that a parallelogram has rotational symmetry, rotated 180 degrees about it's center point. Now by definition a parallelogram is a quadrilateral with two pairs of parallel sides, hence it's name. If you were to take a look at the attachment below, you might see the connection.

Rotational Symmetry will make it so that side AB corresponds to CD, respectively AD and CB. The sides will coincide with one another after a 180 degree rotation, so that AB = CD, and AD = CB. Hence, in the same parallelogram, opposite sides are congruent.

Proved!

Answer:

D, E, F

Step-by-step explanation:

After you prove that the two triangles are congruent, you just need to look for the similair placed angles and lines.

Answer:

D, E, F

Step-by-step explanation:

These three are the only ones that complete CPCTC requirements.

5x-20 = 2x+10

3x-20= 10

3x= 30

x=10

Answer:

x = 10

Step-by-step explanation:

Step 1: Distribute parenthesis

5x - 20 = 2x + 10

Step 2: Add 20 to both sides

5x = 2x + 30

Step 3: Subtract 2x from both sides

3x = 30

Step 4: Divide by 3

x = 10

Answer:

5.507*10^-7%

Step-by-step explanation:

(2.5 * 10^5)/(4.54 * 10^9)*1/100 %= 5.507*10^-7%

Answer:

4512 handshakes

Step-by-step explanation:

We are told in the question, that there are

96 people in the room = 48 couples

Assuming that no husband or wife shakes each others hand but everyone else shakes hands exactly once

This means

48 couples will shake 94 people because they are excluded

This is calculated as

48 × 94 = 4512 handshakes

Answer:

B.) velocity

Step-by-step explanation:

The velocity is determined by calculating the slope of the position vs time graph which is the correct answer would be an option (B).

The velocity is calculated by computing the slope of the location vs. time graph.

If the slope is positive, then the object has a positive velocity, in which it is going forward.

If the slope is negative, then the object has a negative velocity, which means that it's going in the opposite direction, or backward.

If the slope is at a "horizontal" position, this means that the object is stopped or isn't moving at all.

Thus, the velocity is determined by calculating the slope of the position vs time graph

Therefore, the correct answer would be an option (B).

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Answer: A) = 81

Step-by-step explanation:

Say that the four numbers are a,b,c & 97.

Then a+b+c+97/4 = 85

a+b+c+97=340

a+b+c=243

a+b+c/3 = 81

The average of the remaining three numbers is 81.

The average of the numbers a₁, a₂, ..., aₙ is calculated as

Average = (a₁ + a₂ + ··· + aₙ) / n.

Given

Average of the four numbers = 85,

The largest of the four numbers is 97.

Find the sum of all the four numbers

Let the four numbers be a, b, c, and d. Then, using their given average,

(a + b + c + d) / 4 = 85

⇒  a + b + c + d = 85 × 4 = 340.

Find the sum of the numbers excluding the largest one

Let the largest number be d. So, d = 97. Then, the sum of the remaining three is

a + b + c = 340 - d = 340 - 97 = 243.

Find the average of the three numbers

Using the above definition average of the remaining three numbers is calculated as

Av(a,b,c) = (a + b + c)/3 = 243 / 3 = 81.

The required average of the remaining three numbers is 81.

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