Given: a and b are parallel and c is a transversal.
Prove: ∠2 ≅ ∠7
Parallel lines b and a are cut by transversal c. On line b where it intersects with line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 5, 6, 2. On line a where it intersects with line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 3, 7, 8, 4.

Use the drop-down menus to complete the paragraph proof showing that alternate interior angles are congruent.

We know that lines a and b are parallel and that line c is a transversal because that is given. We can tell that angles 2 and 5 are congruent because
angles are congruent. Angles 5 and 7 are congruent because angles by parallel lines cut by a transversal are congruent. Therefore, angles 2 and 7 are congruent based on the

.

Answer: [tex]\frac{7\sqrt{2}}{2}[/tex]

Step-by-step explanation:

[tex]\sin 45^{\circ}=\frac{7}{y}\\\\\frac{1}{\sqrt{2}}=\frac{7}{y}\\\\y=\frac{7}{\sqrt{2}}=\boxed{\frac{7\sqrt{2}}{2}}[/tex]

Answer:

4x^2+3x+1

Step-by-step explanation:

4x^2+3x+1 is the answer I hope this helps

Answer:

the answer is A. 2 thin crust pizzas

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:x = 3 [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 7(x + 2) = 35[/tex]

[tex]\qquad \tt \rightarrow \: 7x + 14 = 35[/tex]

[tex]\qquad \tt \rightarrow \: 7x = 35 - 14[/tex]

[tex]\qquad \tt \rightarrow \: 7x = 21[/tex]

[tex]\qquad \tt \rightarrow \: x = \cfrac{21}{7} [/tex]

[tex]\qquad \tt \rightarrow \: x = 3[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

An architect uses geometry  to charge for their design to design the floorplan of a sructure.

Architects use geometry to help them design buildings and structures. Mathematics can help architects express design images and to analyze as well as calculate possible structural problems.

The shapes and sizes used in the architect’s design are often possible due to mathematical principles.

An example of this would be the Pythagorean Theorem. Architects are required to know college level algebra, trigonometry, probability and statistics, linear programming, calculus I and calculus II. They are also required to obtain a professional degree, gather work experience in an internship setting and pass the Architect registration exam for licensing purposes.

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Answer:

to design the floorplan of a structure

Step-by-step explanation:

Geometry describes the properties and arrangement of shapes in space. Designing the floor plan of a structure would involve the arrangement of shapes in a defined space.

Answer:

This is impossible.

Step-by-step explanation:

The interior angle of a regular polygon is equal to

[tex] \frac{180(n - 2)}{n} [/tex]

where n is the number of sides.

Setting this equal to 180°,

[tex] \frac{180(n - 2)}{n} = 180 \\ \\ \frac{n - 2}{n} = 1 \\ \\ n = n - 2 \\ \\ 0 = - 2[/tex]

which is false.

Answer:

the answer to that is B. 5 cells

Answer:

45750 cm²

Step-by-step explanation:

    a = 4 and c = 5

 base length = 3ac²

                      = 3 * 4 * 5 * 5

                     = 300 cm

    height = 5 cm more than the base length

               = 300 + 5

               = 305 cm

      [tex]\sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}*base \ length * height}[/tex]

                                    [tex]\sf =\dfrac{1}{2}*300*305\\\\= 150 * 305\\\\= 45750 \ cm^2[/tex]

Answer:

253=232×k

Step-by-step explanation:

please mark me as brainlest

Answer:

k=7,y=2.33 and y=k/x^2

Step-by-step explanation:

y=k/x^2

7=k/1

k=7

y=k/x^2

y=7/3

y=2.33

hope it helpful

Equation 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p has the same soltion as the provided equation option second and third are correct.

It is defined as the combination of constants and variables with mathematical operators.

We have an equation:

2.3p – 10.1 = 6.5p – 4 – 0.01p

Combine like terms:

2.3p – 10.1 = 6.49p – 4

Or in the equation 2.3p – 10.1 = 6.5p – 4 – 0.01p mulitply by 100 on both sides.

We get:

230p – 1010 = 650p – 400 – p

Thus, equation 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p has the same soltion as the provided equation option second and third are correct.

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The answer choice which explains whether the function is a direct variation or not is; This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.

It follows from the task content that the function passes through the origin and hence, if the function was represents as a linear function, it's y-intercept would be zero.

Furthermore, the slope, otherwise termed it's rate of chage is constant and is evaluated as; $5 per hour. Hence, the aforementioned form the basis for the classification of the function as a direct variation.

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Answer:

D. (90, 60)

Step-by-step explanation:

A proportional relationship is a relationship in which the ratios of two variables are equivalent.

If we take two points on the graph such as (45, 30) and (30, 20), we can see that they can both be simplified to the ratio 3:2. Using this we can find the correct answer. From looking at all the points we can see that only (90,60) would also form a ratio of 3:2, thus d would be the correct answer.

Answer:

telmhtkhknrkh

Step-by-step explanation:

eg

Answer:

4.08x^2

Step-by-step explanation:

When you acquire stock in a firm, you are acquiring a little portion of that company known as a share. The correct option is A.

When you acquire stock in a firm, you are acquiring a little portion of that company known as a share. Investors buy stocks in firms they believe will increase in value. If this occurs, the value of the company's shares rises as well.

For a 70-year-old investor, selling a weak stock at a loss may be a smart move to avoid potential additional future losses.

Hence, the correct option is A.

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Answer: Domain: (-∞, 0) U (0, ∞)

Step-by-step explanation:

[tex]\frac{12}{x} *-8x^{3}[/tex]

[tex]=-96x^2[/tex]

Domain: (-∞, 0) U (0, ∞)

For the matrix given , the element a₂₃ is the number at 2nd row and 3 column ,which is 6 , Option B is the correct answer.

It is a table or a rectangular array of numbers or expressions arranged in rows and columns ,

For a Matrix of m x n , m is the no. of rows and n is the no. of column

For the matrix given the element a₂₃ is the number at 2nd row and 3 column ,

which is 6 ,

Therefore Option B is the correct answer.

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Answer:

Step-by-step explanation:

ore energy entered the Earth system than exited due to the greenhouse effect, solar energy trapping systems like solar panel, etc.

How CO₂ changed the energy in the Earth system due to many reasons:-

Carbon dioxide forces the Earth's energy budget out of balance by absorbing thermal infrared energy radiated by the surface. It absorbs thermal infrared energy with wavelengths in a part of the energy spectrum that other gases, such as water vapor, co₂, etc.

The greenhouse effect also increases energy in the earth's system.

An increase in the amount of carbon dioxide creates an overabundance of greenhouse gases that trap additional heat.

These greenhouse gas emissions have increased the greenhouse effect and caused the earth's surface temperature to rise.

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Answer:

18.66

Step-by-step explanation:

Using the pythagorean theorem:

a^2 + b^2 = c^2

a^2 + 13^2 = 16^2

a^2 + 169 = 256

a^2 = 87

a = 9.33

Since we need to figure out length AC and not just AB, we can multiply our answer by 2:

9.33 x 2 = 18.66

Answer:

  71.32°

Step-by-step explanation:

The measure of angle ADB can be found using the trig relation ...

  Cos = Adjacent/Hypotenuse

__

  cos(ADB) = DB/AD = 13/16

Using the inverse function, ...

  ∠ADB = arccos(13/16) ≈ 35.659°

Arc AC has the same measure as angle ADC, which is double the measure of angle ADB.

  Arc AC = 2×35.659° = 71.318° ≈ 71.32°

The measure of arc AC is about 71.32°.

_____

Additional comment

The length of arc AC is the product of the radius and its radian measure:

  length AC = (16)(71.32π/180) ≈ 19.92 . . . units

Answer:

A) City A was 5°C and City B was 4°C

Step-by-step explanation:

let temperature of City A be x and City B be y

According to the conditions of the question

4x = 8 + 3y (first temperature)

x - 2y = -3 (second temperature)

x = -3 + 2y

4(x) = (-3 + 2y)×4

4x = -12 + 8y

But it's already given that 4x = 8 + 3y

So,

8 + 3y = -12 + 8y

8 + 12 = 8y - 3y

20 = 5y

y = 20/5

y = 4

That means City B temperature was 4°C

So Option A

If you want you can find x to find City A temperature

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The equation of the line will be y = [tex]\dfrac{1}{5}x + \dfrac{12}{5}[/tex]

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

First, we need to find the equation of the line that is given:

We can use the formula,

[tex]m = \dfrac{y_1 - y_2}{x_1-x_2}[/tex]

[tex]m=\dfrac{-3-(-4)}{0-(-5)}=\dfrac{1}{5}[/tex]

So the equation for this line is  

y = (1/5) x - 3

This means that the equation for the line we are trying to find has a slope of as well

Let's put the points in the equation and try to find the y-intercept:

2 = [tex]\dfrac{1}{5}[/tex] ( -2 ) + b

[tex]\dfrac{15}{5} = b[/tex]

So the final equation for the line we are trying to find is y = [tex]\dfrac{1}{5}x + \dfrac{12}{5}[/tex]

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Answer:

Let x= cost of 20 pepsi

so 1 Pepsi = 20 naira

20 = x

x= 20*20

x= 400 naira

Therefore the cost of 20 pepsi is 400 naira

Answer:

894.035793467 or roughly 894

Step-by-step explanation:

I square rooted it by using a calculator, and by working it out on paper.

Answer:

y= x +4

Step-by-step explanation:

The slope-intercept form of an equation is given by y= mx +c, where m is the slope and c is the y-intercept.

Start by finding the slope of the line.

[tex]\boxed{\text{slope}=\frac{y_1-y_2}{x_1-x_2} }[/tex]

Slope

[tex]=\frac{5-3}{1-(-1)}[/tex]

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

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

= 1

Substitute m= 1:

y= x+c

Finally, find c by substituting a pair of coordinates.

When x= 1, y= 5,

5= 1 +c

c= 5 -1

c= 4

Thus, the equation of the line is y= x +4.

Additional:

For more questions on slope-intercept form, do check out

Answer:

(x+2)(x-3)(x+3) this is ans

Answer:

a. (x + 2)

Step-by-step explanation:

x^2(x + 2) - 9(x + 2)

(x + 2)(x^2 - 9)

(x + 2)(x - 3)(x + 3)

Therefore the answer is (x + 2)

The solution for the given equation will be x=7.8873 and x=0.112699.

The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.

Find the Solution for

9x²−72x+8=0

using the Quadratic Formula where

a = 9, b = -72, and c = 8

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{(-72)\pm\sqrt{(-72)^2-4(9)(8)}}{2(9)}[/tex]

x=   [tex]\dfrac{72\pm4896}{\sqrt{18}}[/tex]

The discriminant b2−4ac>0

so, there are two real roots. After solving for plus and then minus we will get two values as follows.

x=7.8873

x=0.112699

Therefore the solution for the given equation will be x=7.8873 and x=0.112699.

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