please help! I'm almost out of time on my assignment

Answer:

Step-by-step explanation:

You have transversal n crossing parallel lines l and m, creating angles labeled 1–8. Angles 1, 3, 6, 8 are shown as obtuse, and the others are shown as acute. You want values of x and angles, given certain angle expressions.

The acute and obtuse angles are supplementary. Angles 3 and 5 are "consecutive interior angles", so are supplementary.

  ∠3 +∠5 = 180

  (4x -18) +(3x +52) = 180

  7x +34 = 180 . . . . . . . . . . collect terms

  7x = 146 . . . . . . . . . subtract 34

  x = 20 6/7  . . . . divide by 7

The measures of the angles are ...

  ∠3 = 4x -18 = 4(20 6/7) -18 = 83 3/7 -18 = 65 3/7

  ∠5 = 3x +52 = 3(20 6/7) +52 = 62 4/7 +52 = 114 4/7

Note that the total of angles 3 and 5 is 180°.

The problem asks for the measure of angle 8. Angle 8 is an alternate interior angle with respect to angle 3, so is congruent.

  ∠8 = ∠3 = 65 3/7

__

Additional comment

Note that the angle values of question 4 make the angles that appear to be obtuse in the diagram actually have measures less than 90°. The figure is not drawn to scale.

Answer:

31.4 inch

Step-by-step explanation:

So the circumference of a circle is pi times the diameter=10 times 3.14 (pi is around 3.14)=31.4

Answer:

A. obtuse

Step-by-step explanation:

process of elimination when looking at examples of different triangles

Solving the system of equations 5x + 9y = 104x - 3y = 8 and  using elimination, x is 2 and y is 0.

The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients. The addition property of equality is used in the elimination technique to solve systems of linear equations. The same value can be added to both sides of an equation. You can therefore add x + y to the left side of the first equation and add 8 to the right side of the equation if your system is x - 6 = 6 and x + y = 8.

Given,

Equation A: 5x + 9y = 10

Equation B: 4x - 3y = 8

Solving the system of equations using elimination,

Multiplying equation B by 3

5x + 9y = 10

12x - 9y = 24

---------------------

17x = 34

x = 2

Equating x = 2 in equation 2

4x - 8 = 3y

4(2) - 8 = 3y

y = 0

To learn more about elimination method, visit:

https://brainly.com/question/12090959

#SPJ1

The graph of the given equation is attached bellow.

What is a graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.

The relationships between two or more items are frequently represented by the points on a graph.

Here, for instance, we can plot a graph showing the type and quantity of school supplies used by pupils in a class based on the data provided below. Each supply is first counted, and the data is then shown in a table with specific colors in a logical order.

Given equation is y=-5x+50

Where y represents the gift card balance after x number of days.

First find some points on the line.

Putting x = 5 in the given equation:

y = (- 5 × 5) + 50

y = -25+ 50

y = 25

Putting x = 0 in the given equation:

y = (- 5 × 0) + 50

y = -0+ 50

y = 50

Putting x = -1 in the given equation:

y = (- 5 × (-1)) + 50

y = 5+ 50

y = 55

The points on the line are (5, 25), (0,50), and (-1,55).

Plot the points and join them.

To learn more about graph of an equation, click on below link:

https://brainly.com/question/28494690

#SPJ1

The line is the best fit because the sum of the residuals is a small number(1.2), so option D is correct.

A straight line that minimizes the gap between it and some data is called a line of best fit. In a scatter plot containing various data points, a relationship is expressed using the line of best fit.

Calculate the residual as shown below,

[tex]Residual = y - \hat{y}[/tex]

12 - 9.1 = 2.9

9 - 11.9 = -2.9

16 - 13.3 = 2.7

14 - 14 = 0

5 - 15.4 = -10.4

24 - 17.5 = 6.5.

Hence, the sum of the residuals is given as follows:

2.9 - 2.9 + 2.7 + 0 - 10.4 + 6.5 = 1.2

The sum of the residual is a small number, so it is the best fit.

To know more about the line of fits:

brainly.com/question/22992800

#SPJ1

The true statement similar to the rectangle is that  the product of the length and width is 50 cm².

A rectangle is a quadrilateral that has opposite sides equal to each other and the opposite sides of a rectangle is parallel to each other.

Each angles of a rectangle is 90 degrees. The diagonals bisect each other. The length of the diagonals is equal.  The sum of all the interior angles of a rectangle is 360°.

The figure is a rectangle with dimension of 10 cm by 5 cm.

Therefore, the statement that best describes the length and width of a rectangle similar to the rectangle is that the product of the length and width is 50 cm².

learn more on rectangle here: https://brainly.com/question/13965406

#SPJ1

Answer:

When the slope of a line is changed to a value that is less than 1, the line becomes less steep. This means that the change in the y-value (the vertical direction) for a given change in the x-value (the horizontal direction) is smaller than it was before. For example, if the original line had a slope of 2 and the new slope is 0.5, the line will be less steep and the change in y for a given change in x will be smaller.

The new amount of sit - ups will be 200.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Tyson does 80 sit-ups during his work out.

And, He wants to increase his sit-ups by 25%.

Now,

Since, Tyson does 80 sit-ups during his work out.

And, He wants to increase his sit-ups by 25%.

Hence, We get;

The new amount of sit-ups = 80 + 25% of 80

                                          = 80 + 25/100  × 80

                                          = 80 + 20

                                          = 100

Thus, The new amount of sit - ups = 200

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ1

Answer:

5 yd

Step-by-step explanation:

Missing side =  11 - 6 = 5 yd

The value of x is option (B) 4

Consider the bottom triangle

All the angles of the triangle is equal therefore, the triangle is an equilateral triangle. All the three sides of the equilateral triangle will be equal

One side is given

The length of the side LM = 5 units

The length of the side MK = 5 units

The angle J = Angle MKL

Therefore the triangle MKL is an isosceles triangle

Then, the length of the side MK = The length of the side MJ

Substitute the values in the equation

x + 1 = 5

x = 5 -1

x = 4 units

Therefore, the value of x is 4

Learn more about triangle here

brainly.com/question/10147636

#SPJ4

Answer:

y = (2/64)x^3

Step-by-step explanation:

y = (2/64)x^3

Substitute in the given values:

When x = 4, y = (2/64)(4^3)

y = 2

Therefore, the equation is correct. To find other combinations of x and y, simply substitute different values for x in the equation and solve for y.

For example, when x = 3,

y = (2/64)(3^3)

y = (2/64)(27)

y = 1.5

Answer:

A.

Step-by-step explanation:

I'd say A because it's asking for you to explain the answer. the 10 is the tv and it is also an x value the 60 is the y value. Not sure how to explain properly sorry i think this is best i can explain it...

By logarithm properties, the logarithmic equation 2 · ㏒ₐ (5 · x³) - (1 / 2) · ㏒ₐ (2 · x + 3) is equivalent to ㏒ₐ [(25 · x⁶) / √(2 · x + 3)]. (Correct choice: A)

In this problems we have a logarithmic equation that must be simplified by means of logarithm properties, all of them described below:

Logarithm of a product of two numbers

㏒ₙ (a · b) = ㏒ₙ a + ㏒ₙ b

Logarithm of a division of two numbers

㏒ₙ (a / b) = ㏒ₙ a - ㏒ₙ b

Logarithm of a power of a number

㏒ₙ aˣ = x · ㏒ₙ a

Now we proceed to reduce the logarithmic equation into a single expression:

2 · ㏒ₐ (5 · x³) - (1 / 2) · ㏒ₐ (2 · x + 3)

㏒ₐ (5 · x³)² - ㏒ₐ √(2 · x + 3)

㏒ₐ (25 · x⁶) - ㏒ₐ √(2 · x + 3)

㏒ₐ [(25 · x⁶) / √(2 · x + 3)]

To learn more on logarithm properties: https://brainly.com/question/25633462

#SPJ1

The set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that:

The side length of the triangle is shown in the option:

As we know,

Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

Using Pythagoras' theorem:

From option(D):

3, 4 and 5

(3)² + (4)² = 5²

9 + 16 = 25 (True)

Thus, the set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.

Learn more about the right-angle triangle here:

brainly.com/question/3770177

#SPJ1

x² - x - 4 = 0 is the equation that can be used to find the value of x.

Given,

The dimensions of a sand box is given as (x + 2) inches and (x + 1) inches.

The value of the area, in square inches, of the sandbox is equal to the value the perimeter in inches.

We have to find an equation that can be used to find the value of x;

Here,

Consider the sand box as a rectangle.

Area of rectangle = length x width

That is,

Area of sand box = (x + 2) (x + 1) = x² + x + 2x + 2 = x² + 3x + 2

Now, Perimeter of rectangle = 2(length + width)

That is,

Perimeter of sand box = 2(x + 2 + x + 1) = 2(2x + 3) = 4x + 6

Now,

Equate both the equations;

x² + 3x + 2 =  4x + 6

x² + 3x + 2 - 4x - 6 = 0

x² - x - 4 = 0

Therefore,

The equation that can be used to find the value of x is x² - x - 4 = 0

Learn more about area and perimeter of sandbox here;

https://brainly.com/question/22538574

#SPJ4

Step-by-step explanation:

x = number of cards

the production costs (PC) per day are

PC(x) = 264 + 1.1x

the sales (S) are

S(x) = 5.1x

the profit (P) per day is sales minus costs

P(x) = S(x) - PC(x) = 5.1x - (264 + 1.1x) =

= 5.1x - 264 - 1.1x = 4x - 264

we need to find the value of x, so that P(x) = 52.

52 = 4x - 264

316 = 4x

x = 316/4 = 79

79 cards must be delivered daily to make a profit of $52.

Answer:The correct anserw is f(x=-8

Step-by-step explanation:

Answer:

(5,11)

Step-by-step explanation:

try using desmos graphing calculator

The required sample size to estimate the true proportion of Illinois homes that have air conditioning to within 3% with 99% confidence is of:

1816.

The required sample size is obtained using the z-distribution, as we are working with a confidence interval of proportions.

The equation that determines the margin of error of a confidence interval is presented as follows:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

The estimate in this problem, along with the desired margin of error, are given as follows:

[tex]\pi = 0.56, M = 0.03[/tex]

Then the needed sample size is calculated as follows:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 2.575\sqrt{\frac{0.56(0.44)}{n}}[/tex]

[tex]0.03\sqrt{n} = 2.575\sqrt{0.56 \times 0.44}[/tex]

[tex]\sqrt{n} = \frac{2.575\sqrt{0.56 \times 0.44}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.56 \times 0.44}}{0.03}\right)^2[/tex]

n = 1816. (rounded up, as a sample size of 1815 would have a margin of error slightly above 3%).

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

Answer:

a rotation 180°clockwise abt the origin

Answer:

m=3

Step-by-step explanation:

The net present value of the project is $347,941.73.

Get the Weighted Average Cost of Capital first (WACC). WACC is the minimal return a project must provide in order to be approved. Thus, it is employed to discount a project's projected cash flows to its present value.

WACC = Ke × E/V + Kd × D/V.

where,

Ke is  cost of equity

= 11.31%

E/V is Market Weight of Equity

= (1/1.62 × 100)

= 61.73%

Kd is After tax cost of debt

= 5.67% × ( 1  - 0.21)

= 4.48 %

D/V = Market Weight of Debt

= 0.65/1.65 × 100

= 39.40%

∴ WACC =  11.31% × 0.6773 + 4.48 % × 0.3940

= 9.43 %

Next, calculate the project's net present value using the formula,

i/yr =  9.43 %

$347,941.73.

learn more about net present value here :

https://brainly.com/question/29669538

#SPJ1

The rule that describes the composition of transformations of triangle ABC to triangle A''B''C'' is given as follows:

R(x-axis) and T(-6,-2)(x,y) -> second option.

The vertices of the original triangle are given as follows:

A(5,-5), B(1, -2) and C(1,-5).

The triangle A'B'C' was reflected, as the orientation was changed, and the vertices are given as follows:

A'(5,5), B'(1, 2) and C'(1,5).

Hence the rule of the reflection is given as follows:

(x,y) -> (x,-y).

Meaning that it underwent a reflection over the x-axis.

Then triangle A''B''C'' is obtained with a translation of triangle A'B'C', as only the position changed, keeping the orientation equal.

The vertices are given as follows:

A''(-1,3), B'(-5, 0) and C'(-5,3).

Hence the rule is given as follows:

(x,y) -> (x - 6, y - 2).

Which is a translation of 6 units left and 2 units down, meaning that the second option is correct.

More can be learned about transformations at https://brainly.com/question/28725644

#SPJ1

Answer:

6

Step-by-step explanation:

The answer contains a brief description of the slope and slope triangle.

What is the slope of line?

Determine the slope of the line using the slope formula given two line-side coordinates. The formula m=(y2-y1)/ describes the slope as the proportion of the change in y values to the change in x values (x2-x1). The coordinates of the first point corresponding to x1 and y1. The second points are situated at the coordinates x2, y2, and. It doesn't matter which point you choose to rank as the first and which as the second.

slope triangle:

A slope triangle is a tool that you can use to visually determine a line's slope. Slope here refers to the degree of steepness.

Imagine that you are a pilot and that you have ascended by 1,000 feet in the air vertically. You have advanced (horizontally) 3,000 feet by the time you are 1,000 feet above the ground. You can calculate how steep your rise was using those two measurements. The inclination increases as the plane move ahead a certain distance.

Learn more about Slope, by the following link

https://brainly.com/question/3493733

#SPJ1

the slope ( rise over run ) is 1/2

Answer:

3/11

Step-by-step explanation:

To find a ratio of one item to another we divide the quantity of the first item to the second.

We know Ann has 3 cups of seeds, and overall 11 ingredients. So her ratio is 3/11. Or 3 cups of seeds for every 11 ingredients.

Answer:

3 : 11

Step-by-step explanation:

Trail Mix Recipe:

Total number of cups of all the ingredients:

⇒ 5 + 3 + 1 + 2 = 11

Therefore, the ratio of seeds to total ingredients is:

Note: The ratio cannot be reduced further since both 3 and 11 are prime numbers.

The equation of a line perpendicular to y = x + 1 that passes through the

point (8,-3) is y = x+1.

What is line equation?

The general equation for every straight line is y = mx + c, where m is the gradient (or degree of steepness) of the line and c is the y-intercept (the point in which the line crosses the y -axis).

[tex]$x$[/tex] - axis interception points of [tex]$x+1: \quad(-1,0)$[/tex]

[tex]$y$[/tex]-axis interception point of [tex]$x+1: \quad(0,1)$[/tex]

X Intercepts: [tex]$(-1,0), \mathrm{Y}$[/tex] Intercepts: [tex]$(0,1)$[/tex]

Slope of [tex]$x+1: \quad m=1$[/tex]

[tex]$x+1$[/tex]

For a line equation for the form of[tex]$y=m x+b$[/tex], the slope is m, m=1

y = x+1

To learn more about line equation visit:https://brainly.com/question/21511618

#SPJ1