I am going to have to send you a photo of the problem because it is to large to crop into this.

Angle two and angle six line up with one another. Angle three would consequently be consistent with angle six. Angles two and three are congruent because they both have vertical angles.

Alternate internal angles are the pair of angles formed on the inner side of the parallel lines and on the opposing sides of the transversal when two parallel lines are intersected by a transversal. These angles are all equal. There is an alternative perspective on this. The parallelism or non-parallelism of the provided lines can be determined by the alternative inner angles. If these angles are equivalent, the given lines that a transversal crosses are said to as being parallel.

To see the many internal angles, look at the following diagram. Here, a transversal divides AB and CD, two parallel lines.

The two lines are said to be parallel if a transversal intersects them such that their alternate interior angles are equal, according to the converse of the alternate interior angles theorem.

Let's examine the following diagram to better comprehend this: 1 = 5 (matching angles), 3 = 5 (vertically opposite angles). Thus, ∠1 = ∠3. The same goes for the demonstration of 2 = 4. This demonstrates that the two supplied lines are parallel to one another since their alternate inner angles are equal.

Example: Two lines are parallel to one another if the alternate interior angles created by the transversal line on two coplanar are congruent. As a result, we can write that 2 and 5 are corresponding angles.

Transformations would show that the accompanying exterior angles EBI and BCJ are congruent, proving that an is parallel to a pair of alternate exterior angles with measurements of 130° and 50°.

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Since the amount of yarn available is what defines the size of the blanket, the amount of yarn is the independent variable, and it is the input for the table or equation.

The size of the blanket depends on the amount of yarn, so the size of the blanket is the dependent variable, and it is the output of the table or equation.

Therefore the option that shows the true statement is C.

Answer:

Step-by-step explanation:

Laundry washed:

Who washed more?

Compare the fractions by bringing them to common denominator:

Compare the numerators:

It means Mrs. Stem washed more than laundry her son.

Total portion of laundry washed:

Laundry left to wash is the difference of full and the fraction of washed laundry:

Answer:

7/20 of laundry is still pending.

Step-by-step explanation:

Now the both washed is,

→ (2/5) + (1/4)

→ ((2 × 4)/(5 × 4)) + ((1 × 5)/(4 × 5))

→ (8/20) + (5/20)

→ 13/20

Forming the equation,

→ (13/20) + x = 1

Then required value of x will be,

→ (13/20) + x = 1

→ x = 1 - (13/20)

→ x = (20/20) - (13/20)

→ x = (20 - 13)/20

→ [ x = 7/20 ]

Hence, 7/20 of laundry is pending.

The ratio shows how many times one value is contained in another value.

1 part = $28

2 parts = $56

3 parts = $84

The amount 84 in the ratio 2:1 is 56:28.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

Amount = $84.

We will divide the amount into 2:1

This means,

There are 3 parts.

2 + 1 = 3

The amount for each part.

= 84/3

= 28

Now,

1 parts = $28

2 parts = 2 x $28

2 parts = $56

The ratio 2:1 of 84 is 56:28

Thus,

The amount 84 in the ratio 2:1 is 56:28.

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We would apply the formula for calculating the expectation of the mean or expected value which is expressed as

Ex = ΣxP(x)

In this scenario, from the information given,

12000 is profit at 50%

Breakeven mean = 0 because there is no profit or loss' at 20%

loss = - 6600 at 30 %

Thus,

Expectation = 50/100 * 12000 + 20/100 * 0 + 30/100 * 6600

Expectation = 6000 + 0 + 1980

Expectation = 7980

the expectation of this purchase is $7980

Answer:

≈ 466 cm

Step-by-step explanation:

the total length of wire required is

outside sides of square + 4 straight pieces + circumference of circle

= (4 × 70) + (4 × 15) + (π d ← d is the diameter )

= 280 + 60 + 40π

= 340 + 125.66

= 465.66

≈ 466 cm ( to the nearest cm )

We need to find out the total length of wire needed to make this design. We can do this by finding out the perimeter of square and Circle and finally adding the lengths of the four 15cm wire used .

Given data:-

Perimeter of the square:-

[tex]\longrightarrow p_s = 4(side) \\ [/tex]

[tex]\longrightarrow p_s = 4(70cm) \\ [/tex]

[tex]\longrightarrow p_s = 280cm \\ [/tex]

Perimeter/circumference of the circle:-

[tex]\longrightarrow p_c = 2\pi r \\ [/tex]

[tex]\longrightarrow p_c = 2(3.14)(20cm) \\ [/tex]

[tex]\longrightarrow p_c = 125.71 cm \\ [/tex]

Additionally length of four wires would be 15cm*4 = 60cm .

So , total length of the wire required,

[tex]\longrightarrow l =( 125.71 + 280+60)cm \approx \boxed{466\ cm}\\ [/tex]

and we are done!

Pythagoras theorem is used to find the length of sides in geometry. The number of strips of Balsa wood having length of 13cm is  8 approximately.

Pythagoras theorem states that the square of the hypotenuse in a right angled triangle is equal to the sum of the squares of the remaining two sides.

Given that,

The length of each pole = 100cm.

The distance between the pole = 12cm.

The length of each strip of Balsa wood = 13cm.

The diagram for the given question is as follows,

Apply Pythagoras theorem, h² = p² + b² in the given triangle to find the hypotenuse as,

h² = 100² + 12²

=> h² = 10144

=> h = 100.71

Now, the number of strips of balsa wood is equal to hypotenuse divided by 13 which is given as,

100.71 ÷ 13 = 7.74.

Hence, the number of small strips of Balsa wood is 8 approximately.

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Step-by-step explanation:

so, we have 1 + 2 + 3 = 6 total spaces.

a probability is always the ratio

desired cases / totally possible cases

the probability to spin red is therefore

1 desired case

6 total possible cases

1/6 = 0.166666666...

a probability of 1 means a sure result = anyone of the totally possible cases.

so, 6/6 = 1 in our case.

if the desired cases are everything but red, we need to eliminate the possible red results (1) from the amount of our desired cases : 6 - 1 = 5

so the probability of not spinning a red is

5/6 = 0.833333333...

formally we can also say this is the sure thing minus the opposite of what we want to have. the opposite of not spinning a red is spinning a red (1/6) :

1 - 1/6 = 5/6 = 0.833333333...

Answer: 6x + y = 16

Step-by-step explanation:

The function best represented by the graph is y = - 5 x + 5 2y = - 5 x + 5². Option B.

Use the vertical line test to determine if a graph represents a function. A graph is a function if a vertical line moves across it and touches it only at one point at a time. If a vertical line touches a graph at multiple points, the graph is not a function.

Calculation:-

X intercept = 2

y intercept = 5

slopt = y/x

= 5/2

= 2.5

For the line to be perpendicular to each other angle must be 90⁰.

Hence option B.

B.y = - 5 x + 5

2y = - 5 x + 5 2

slope m = 5/2

2.5.

A function is defined as a relation between a set of inputs each with an output. Simply put, a function is a relationship between inputs, each associated with exactly one output. Each function has a domain and a codomain or scope. The graph of a quadratic function is called a parabola and has a curved shape. One of the main points of the parabola is the vertex.

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By simplifiying the linear equation we will see that it is false, then the correct option is C, there are no solutions.

Here we have the following linear equation:

2x - 5x - 9 = -3x + 2 - 9

We want to solve this linear equation for the variable x, to do so, we need to isolate the variable x in one of the sides of the equation, so let's do that.

First we move all te terms with x to the left side and the terms without x to the right side, so we get:

2x - 5x + 3x = 2 - 9 + 9

(2 - 5 + 3)*x = 2

0*x = 2

0 = 2

So we have a false equation, this means that there is no value of x such that the equation is true, then the equation has no solutions, and the correct option is C.

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Answer:

15/120 simplified is 1/8

Let cheryl score "c", Adam score "a", Laura score "l" and Tom score "t", points.

Now, let's write equations for statements given.

Adam scores 8 more than Cheryl, so:

a = c + 8

or

c = a - 8

Laura scored twice as Adam, so:

l = 2a

Tom scores 10 less than Laura:

t = l - 10

or

t = 2a - 10

Altogether, they scored 66, so:

c + a + l + t = 66

Putting the 3 bold equations in the last one, we can solve for "a" first. Shown below:

So,

c = a - 8

c = 14 - 8

c = 6

l = 2a

l = 2(14)

l = 28

t = 2a - 10

t = 2(14) - 10

t = 28 - 10

t = 18

So,

Adam = 14 points

Cheryl = 6 points

Laura = 28 points

Tom = 18 points

Answer:

Step-by-step explanation:

1. -17x+1

2. -5/6a-1/2

3.-2/3x+2/5

4.-6(2x+3y+0.6)

5.2/3(x+6)

Answer:7

Step-by-step explanation:

3x-5

replace x for 4

3(4)-5

=12-5

=7

The greatest number of eggs laid by the chicken any day is 7

A frequency table is a table that lists items and shows the number of times the items occur.Frequency refers to the number of times an event or a value occurs.

A frequency table lists a set of values and how often each one appears.

The frequency table above shows the number of eggs laid for 3weeks.

From the table, the least number of egg laid in anyday is 3 and the greatest number of egg laid in a day is 7.

Therefore the greatest number of egg that can be laid by the chickens in anyday is 7

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Answer:

The distribution is spread from 3 eggs to 7 eggs.

Answer: 4.38

Step-by-step explanation:

Firstly to answer this question we need to take a look at both of the mpg for each of them. We already know that the SUV has 25 mpg and the Sedan has 32 mpg, to figure this out we need to get the answer to $4 x 25 and $4 x 32.

The answer to that is $100 for the SUV and $128 for the Sedan. Next, we need to figure out the mile difference between to 2 vehicles.

100 x 2 = 200

128 x 2 = 256

knowing those numbers overall we can conclude that the sedan will cost $4.38 less than the Suv

SOLUTION

3(a)

The diagram below would be helpful

From the diagram above, a segment has been made from C to O indicating the radius of the circle, so CO is a radius.

Also any line drawn from the center of a circle to touch the circumference is a radius, So, OB is a radius too.

Since CO and OB are radii of the circle, then their sides are equal,

Hence triangle COB is an isosceles triangle.

Also the line OA represents the radius of the circle just like CO. Since OA and CO are radii,

Hence triangle COA is an isosceles triangle.

(b) Statement: AOB is a straight line and at the center of a circle

Reason: Given

Statement: AOB is also an angle, which is 180 degrees

Reason: Angle on a straight line is 180 degrees

Statement: Angle AOB is an angle at the center of the circle, and angle C is at the circumference

Reason: same arc AB

Statement: Angle AOB = 2C

Reason: Angle at the center of a circle is twice angle at the circumference.

Hence

Therefore C is a right-angle (90 degrees)

The correct option is B that is g(x)=f(4x) as the condition says, "A parabola labeled lowercase g declines through the points (negative 4, 4), (negative 3, 2 point 2), (negative 2, 1), (0, 0), (2, 1) and (3 point 5, 3) on the x y coordinate plane".

A symmetrical open plane curve created when a cone and a plane that runs perpendicular to its side intersect. Ideally, a projectile traveling under the pull of gravity will travel along a curve similar to this one. A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.

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Answer:

3,360 ways.

Explanation:

In the word PARALLEL

• Number of letters = 8

• Number of Ls = 3

• Number of As = 2

Since no other restriction is given, the number of ways in which the letters can be arranged is:

We solve to obtain our result.

The word can be arranged in 3,360 ways.

The y intercept of the graph of the linear equation 2y = x - 4 is -2 obtained through the following graph.

Linear equation:

Linear equation means an equation in which the highest power of the variable is always 1 also known as a one-degree equation.

The standard form of a linear equation is ax + b = c

Given,

Here we have the linear equation 2y = x - 4.

Now, we have to find the y - intercept from this equation's graph.

In order to plot the graph for this equation we have to rewrite the given equation then we get,

=> 2y = x - 4

=> y = (x-4)/2

Now we have to take sample value for x, in order to get the table for the equation.

For that we have to take the sample value of x as -2, -1, 0, 1, and 2, then we get the table like the following.

By using the table we have to plot the graph, then the resulting graph is attached below.

Through the graph we have identified that the y - intercept is -2.

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the interior angles of the triangle must sum 180°

if we have two angles that measure 100° the sum of interior angles of a triangle will be more than 180°, and that can't be true.

so the answer is FALSE

Let:

x = Unknown number

Solution

Step1

The AA criterion for triangle similarity states that if two triangles have two pairs of congruent angles, then the triangles are similar.

Step2

Two pairs angles are equal, hence they are similar

Answer

Are similar by AA

The greatest possible sum of c and d? is 5.

From the information, the product is -6. The numbers that can given this value include:

(-1) × (6) = -6

(-2) × (3) = -6

(-6) × 1 = -6

(-3) × (2) = -6

Therefore from the information, the number that will give the greatest sum will be:

-1 + 6

= 5

Therefore, the greatest sum is 5.

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Given:

A 6-inch personal pizza has 620 calories, with 240 of those from fat.

A 16-inch pizza is cut into 8 slices.

So, the total number of calories in a 16-inch pizza will be calculated using the ratio and the proportions:

A 6-inch pizza : A 16-inch pizza

6 : 16

620 : x

Using the cross product:

A 16-inch pizza is cut into 8 slices.

So, the number of calories in one slice =

So, the answer will be:

The number of calories in one slice = 206.67 calories

Answer:

1.4422

Step-by-step explanation:

Depends what they are asking for in some cases they will want you to simplify it to 1.4 or

[tex]\sqrt[n]{x}[/tex]      It might also look like this with a 3 on top and bottom

sry if this is confusing

If you have any questions just ask : )

Answer:

b= −1/2m

Step-by-step explanation:

Step 1: Multiply both sides by b+m.

6b+6m=−2b+2m

Step 2: Add 2b to both sides.

6b+6m+2b=−2b+2m+2b

8b+6m=2m

Step 3: Add -6m to both sides.

8b+6m+−6m=2m+−6m

8b=−4m

Step 4: Divide both sides by 8.

Answer:

3ggjurfyeyryeyryryryr

Answer:

see the answer

Step-by-step explanation:

4x-3y=1xy