#14
Graph the quadrilateral with the given vertices in the coordinate plane.
A(0, 1), B(4, 4), C(12, 4), D(8, 1)

#14Graph The Quadrilateral With The Given Vertices In The Coordinate Plane.A(0, 1), B(4, 4), C(12, 4),

Answers

Answer 1

Answer:

Because BC=AD=8, segment BC ≅ Segment AD. Because these are horizontal line segments, their slopes are 0 and they are parallel.

Segment BC and AD are opposite sides that are both congruent and parallel. So ABCD is a parallelogram by the opposite sides congruent theorem.

Step-by-step explanation:

So if you count the boxes of segment BC you will get 8, same for if you count the boxes that make up segment AD. If they are the same distance they are congruent. You can see how BC and AD are both horizontal lines. To find the slope you need to do the slope formula for BC and AD, which is y2-y1/x2-x1 in our case BC= 4-4/12-4 which equals 0/8. If you do the same formula for AD, you will get 0/8 making them congruent and the slope 0. If the opposite sides are congruent and parallel it has to be a parallelogram by the opposites and congruent theorem.


Related Questions

Compare the slope of the following equation and graph by determining which line is steeper.

A. The line represented by the equation has the same steepness as the line shown in the graph.

B. The line represented by the equation is steeper than the line shown in the graph.

C. The line shown in the graph is steeper than the line represented by the equation.

D. There is not enough information to determine the steepness of the lines.



Answer:


The equation is in the form y = mx, where m represents the slope.


So, the slope of the line represented by the equation is .


Use two points from the graph to determine the slope of the line shown on the graph.


The calculation shown below uses the points (0, 0) and (1, -2).


So, the slope of the graph is -2.


To determine which line is steeper, compare the absolute values of the slopes. The line whose absolute value of the slope is greater is the steeper line.


Therefore, the line shown in the graph is steeper than the line represented by the equation.

Answers

Answer:

C

Step-by-step explanation:

Q3. X=-3 and y=1/2. What is x + y ? What is x÷y?​

Answers

Answer: x+y= -3+1/2= -5/2
x:y= 6

Find an equation of the circle whose diameter has endpoints (1,-5) and (-5,-3)

Answers

Answer:The solution is in the attached file below

Step-by-step explanation:

Write the following in terms of sine theta only.
cotangent

Answers

I don’t exactly know what you’re asking, but cotangent = cosine/sine or another way of writing it is sine = cosine/cotangent

Dan made $208 for 13 hours of work.
At the same rate, how many hours would he have to work to make $112?

Answers

Answer:

7 hours

Step-by-step explanation:

Make proportion:

208/13 = 112/x

x = 112*13/208 = 7 hours

What is the width and height of this triangle I’ll mark the brainiest

Answers

Answer:

The base is 6.69 and the height is 6.02 (these are rounded to nearest hundredth)

Step-by-step explanation:

soh-cah-toa

cos 42 = adjacent/9

adjacent = cos 42 x 9

adjacent = 6.69

sin 42 = opposite/9

opposite = sin 42 x 9

opposite = 6.02

We buy these products for $50.00 and then sell them for $67.00

Answers

Answer:

$17.00

Step-by-step explanation:

The profit=67-50

=$17

Graph the parabola.
y=3x²-4
Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function
button.

Answers

Answer:

A parabola is a curve with a focus and a directrix. The focus is any point is at an equal distance while the directrix is a fixed line. The vertex of the parabola is (2,1), the two points to the right are (3,4) & (4,13) while the two points to the left are (1,4) & (0,13).

Given that:

y = 3(x - 2)² +1

A parabola is represented as:

y = a (x − h)² + k

Where:

Vertex = (h, k)

So, by comparison; the vertex of the function is:

Vertex = (2, 1)

To plot two points to the right, we select x values greater than 2.

Let: x = 3

So, we have:

y = 3(x - 2)² + 1

y = 3(3 − 2)² + 1

y = 4

Let x = 4

y = 3(x - 2)² + 1

2:37

4G 15%

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Mathematics

5 points

Let x = 4

y = 3(x - 2)² +1

y = 3(4-2)² + 1

y = 13

To plot two points to the left, we select x values less than 2.

Let: x = 1

So, we have:

y = 3(x - 2)² +1

y = 3(1 − 2)² + 1

y = 4

Let x = 0

= 3(x - 2)² + 1 y =

y = 3(02)² +1

= 13

In conclusion:

• The vertex of the parabola is (2,1)

• The two points on the right are (3,4) and (4,13)

• The two points on the left are (1,4) and (0,13)

If 15 apricots cost R5.60, how many apricots will R10.08 cost

Answers

Hey!

Answer:

R5.60=15 apricots

R10.08=15÷5.60×10.08

=27 apricots {ans}

A medical researcher says that less than 25% of American adults are smokers. In a random sample of 200 adults, 28.5% say that they are smokers. At a=0.01, do you have enough evidence to reject the researcher’s claim?


a. State the null and alternative hypotheses.

b. State the Type I and Type II errors.

c. Find the critical value. Do you have enough evidence to reject the manufacturer’s claim?

d. Construct a 95% confidence interval for the difference of population means.

Answers

The medical researcher's expectation is wrong. There is enough statistical evidence to prove that 25% or more are smokers in the university.

PLEASEPLEASEHELP!!!!

Answers

Answer:

MN and 170°

Step-by-step explanation:

to get around the red arc you would go alphabetically to the points M, N. since u already have 170° and a circles full rotation is 360° that means 360-170=190 and so the blue arc of the circle would either have to be 190° or 170°, and since the angle of the blue arc is farther than the red arc, that would mean the blue arc is 190°.

The longer leg of a right triangle is 7m longer than the shorter leg. The hypotenuse is 9m longer than the shorter leg. Find the side lengths of the triangle.

Answers

Answer:

I dont really know to be honest

2. What is the solution for the system graphed here?​

Answers

Answer:

no solution

Step-by-step explanation:

The solution to a system of equations is where the two graphs intersect.  The two lines do not intersect since the lines are parallel, so there is no solution.

what is 52,437 rounded to the nearest hundred?

Answers

52400 lol. lmk if there is anything else.

A store pays $100 for a gymnastics mat and marks the price up by 40%.What is the amount of the mark -up? help quick

Answers

Answer/Step-by-step explanation:

40% = .40 (As a decimal)

$100 x .40= $40 {Mark-Up}
$40 is the Mark-up.

If Needed:

$100 + $40 = $140 [Final Price of the gymnastics mat]

[RevyBreeze]

Answer:

40/100

Step-by-step explanation:

it may be this or another answer which is 140 to 1400 to 140.000 but 40/100 sould be your answer.

PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST​

Answers

Step-by-step explanation:

Let's find 120% of 124. 120% of 124 represents the restaurant bill, and the 20% tip included.

Fractions will be used for explanation.

120 can be put over 100, simplified to 1.2/1. 124 can be put over 1.

Multiply (Numerators):

[tex] \frac{124}{1} \times \frac{1.2}{1} = \frac{148.80}{1} [/tex]

$148.80 includes the restaurant bill, and the 20% tip.

Option A. $148.80 is correct.

Suppose the temperature increases 8º to -7ºF. What was the starting temperature?
a.
15º
c.
-13º
b.
-20º
d.
-15º

Answers

Answer:

the original temp was -15 hope this helped;-)

Step-by-step explanation:

Travis spies an owl in a tall tree. He estimates the height of the tree to be 85 feet and the angle of elevation to the bird from where he stands to be 68°. The leaves on the tree make it difficult for Travis to watch the bird, so he takes several steps away from the tree to get a better view. He now estimates his angle of elevation to be 41°.
How many feet did Travis step back to gain a better view of the bird? Round your answer to the nearest hundredth of a foot.

Please help!!

Answers

Answer:

63.44 feet

Step-by-step explanation:

tan(68 degrees)= 85/y  

y tan (68 degrees)=85

y=85/tan(68 degrees) ( cross multiply)

y = 34.34 feet

tan (41 degrees)=85/x+y

(x+y)tan(41 degrees)=85

x+y=85/tan 41 degrees

x=85/tan(41 degrees) - y

x= 85/tan (41 degrees)-(34.34) (cross multiply)

Therefore, Travis stepped back 63.44 feet to gain a better view!

An individual spins a wheel once that has 5 equal parts colored blue, green, red, yellow, and black. What is the probability that the spinner lands on red?

Answers

Answer:

1

Step-by-step explanation:

this is because it has 5 equal parts and only one red

please answer quick

In this polygon, all angles are right angles.

What is the area of this polygon?

Enter your answer in the box.

Answers

Answer:  334 square feet

=========================================================

Explanation:

Draw a vertical line through the middle to split the figure into two rectangles.

The rectangle on the left is 21 ft by 7 ft. Its area is 21*7 = 147 sq ft.

The rectangle on the right is 24-7 = 17 ft by 21-10 = 11 ft. The area is 17*11 = 187 sq ft.

The combined area is therefore: 147+187 = 334 square feet

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

A different approach:

Draw a horizontal line through the middle to form two rectangles.

The rectangle on top is 10 ft by 7 ft with area of 10*7 = 70 sq ft.

The rectangle on the bottom is 24 ft by 12-10 = 11 ft, so its area is 24*11 = 264 sq ft.

Total area = 70+264 = 334 square feet

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

Yet another method:

Draw a horizontal line through the top most edge of the figure. Do the same for the right-most side of the figure. The two lines meet in the top right corner. This will form a rectangle that is 21 ft tall and 24 ft wide.

The area of this big new rectangle is 21*24 = 504 sq ft.

However, we don't want all of this area. We'll kick out the rectangular piece that is 10 ft tall by 24-7 = 17 ft across (in the upper right corner). The area we want to kick out is 10*17 = 170 sq ft.

The actual area we want is 504 - 170 = 334 square feet

There are probably other methods you could use to find the area of this figure.

For this exponential function,
what is the output value (y),
when the input value (x) is 3?
y = 10.5%
=
(3, [?])

Answers

Output value (y) of the y = 1.157.exponetial functio9n when x = 3 is: (3, 1,250).

What is an Exponential Function?

An exponential function is a type of function that has a constant that is raised to a given power. It is expressed as [tex]y = a^x[/tex].

Given the exponential function, [tex]y = 10 \times 5^x[/tex]

When x = 3, thus:

[tex]y = 10 \times 5^3\\\\y = 1,250[/tex]

Therefore, output value (y) of the y = 1.157.exponetial function when x = 3 is: (3, 1,250).

Learn more about exponential function on:

https://brainly.com/question/2456547

A light bulb manufacturer claims that the mean life of a certain type of light bulb is 750 hours. If a random sample of 36 light bulbs has a mean life of 725 hours with a standard deviation of 60 hours. Use a=0.05

a. State the null and alternative hypotheses.
b. State the Type I and Type II errors.
c. Find the critical value. Do you have enough evidence to reject the manufacturer’s claim?
d. Find the p-value.
e. Construct a 95% confidence interval for the population mean.

Please show work if you can! Thank you!

Answers

a light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 720 hours.a random sample of 51 light bulbs as a mean of 712.8 hours with a population standard deviation of 62 hours at and a equals 0.05 can you support the company's claim using the test statistics?

помогите пожалуйста!!

Answers

your suppose to do Base x height then you have to divide it by 2 so you'll have your answer

Which is more, 3 fluid ounces or 1 pint?

Answers

Answer:

If I am correct 1 pint is greater

Step-by-step explanation:

it takes 16 fluid ounces to make a pint

Hope you understand :)

Answer:

1 pint

Step-by-step explanation:

1 pint because in 1 pint there are 16 fluid ounces

please mark brainliest

Can anyone help, please and thank you

Answers

A is the center of the dilation because it is being delarged(is that even a word) by a factor of 2 downwards, and the only place possible to be the center of this "delargation" is A

Find the compound interest and the total amount after 1 year and 1 month if the interest is compounded
quarterly.
Principal = £768
Rate of interest - 100% per annum
Total amount = £
Compound interest = £

Answers

well, there are 12 months in a year, so, for a year and 1 month that'll be 13 months, or namely 13/12 ths of a year.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\pounds768\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1.00\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &\frac{13}{12} \end{cases}[/tex]

[tex]A=768\left(1+\frac{1.00}{4}\right)^{4\cdot \frac{13}{12}}\implies A=768(1.25)^{\frac{13}{3}}\implies A\approx \stackrel{\pounds}{2019.78} \\\\\\ \stackrel{~\hfill \textit{interest yielded}}{2019.78~~ - ~~768~~ \approx ~~ \stackrel{\pounds}{1251.78}}[/tex]

Find the value of x.

Answers

Answer:

x = 50°

Step-by-step explanation:

          A triangle has total interior of 180 degree .

x + 84° + 46° = 180°

x = 180° -46° -84°

x = 50°

In the given triangle, the value of x is determined to be 50°. In other words, The value of x in the triangle is 50°.

To find the value of x in a triangle with angles measuring 84°, 46°, and x°, follow these steps:

Step 1: Recall that the sum of the angles in a triangle is always 180 degrees.

Therefore, the sum of the three angles in the given triangle is:

[tex]84 + 46 + x = 180[/tex]

Step 2: Combine like terms and isolate x.

Start by subtracting 84 and 46 from both sides of the equation:

[tex]84 + 46 + x - 84 - 46 = 180 - 84 - 46[/tex]

[tex]x = 50^{\circ}[/tex]

Step 3: The value of x is 50. This means that the third angle in the triangle measures 50°.

By applying the fact that the sum of angles in a triangle is 180°, set up an equation and solve for x.

The equation represents the sum of the given angles (84°, 46°, and x°) equating to the total sum of angles in a triangle (180°). By simplifying the equation, obtained x = 50, which indicates that the third angle in the triangle measures 50°.

Learn more about triangles here:

https://brainly.com/question/8476788

#SPJ6

There are 4 red cars and 15 black cars in a parking lot what is the ratio of black cars

Answers

Answer:

4/15

Step-by-step explanation:

Because there are 4 black and 15 red so your saying there are 4 out of 15 are black

PLEASE HELP What is the volume of this rectangular prism?
14 ft
3 ft
6 1/4 ft
A 87 1/2 ft3
B 131 1/4 ft 3
C 252 ft3
D 262 1/2 ft

Answers

Step-by-step explanation:

25/4*14*3= 21*25/4= 262.5 ft^3

For what value of x is cos(x) = sin(14°), where 0° < x < 90°?
A.
76°
B.
28°
C.
31°
D.
14°

Answers

1. Observe Problem

Use crossout to determine the answer

As we approach immediately, we notice that A is the answer

For the equation  cos(x) = sin(14°) where 0° < x < 90° the value of x is 76 degrees.

We have given,

For what value of x is,

cos(x) = sin(14°),

where 0° < x < 90°

1. Observe the problem

Use cross out to determine the answer.

[tex]cosx=sin(14^0)[/tex]

What is the value of the sin(14) degrees?

The value of the sin(14) degree is 0.2491

[tex]cosx=sin(14^0)\\\\\\cosx=0.24192\\\\\\x=cos^{-1}(0.24192)[/tex]

[tex]x=76.05^0[/tex]

x=76.05 degrees.

As we approach immediately, we notice that A is the answer.

Therefore,For cos(x) = sin(14°) value of x is 76 degrees.

To learn more about the angles visit:

https://brainly.com/question/25770607

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Other Questions
There are 100 steps to get from the ground-floor of a building to its rooftop. Person A walks up to the roof in 100 steps, while person B climbs up, skipping every other step. It takes person A two minutes to reach the top, while person B does it in half the time. From the information provided one can deduce that: __________a. Both A and B perform the same amount of work, but A delivers more power output than B.b. Both A and B perform the same amount of work, but delivers more power output than A.c. A perform more work because he has to walk twice as many steps.d. B performed less work because it takes him a shorter time to make the climb.e. B performed less work becuase he only has to work half time round to the nearest whole %1. What is the relative frequency for middle school students whose favorite sport is baseball?2. 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