Find the slope of each side of this quadrilateral and use that information to explain why it is a rectangle
8
BI
Your answer might look like this (you can 'copy-paste' the sentences below and fill in the blanks)
The slope of the side BA is The slope of the side BC is_-
The slope of the side BA is__ The slope of the side AD is_
The slope of the side CD is
The slope of the side AD is_
The slope of the side CD is
The slope of the side BC is
Finding the slopes tell me that this quadrilateral is a rectangle because_

Answer:

# of 20cent stamps = 8

Step-by-step explanation:

Let the  number 20cent stamps be = x

Let the number 60 cents stamps be = y

Total number of stamps => 20 = x + y ----------- ( 1 )

Total cost of the stamps = 8.80

That is, 0.20x + 0.60y = 8.80 ------------- ( 2 )

      ( 2 ) => 20x + 60y = 880

            => x + 3y = 44

           =>  x = 44 - 3y

Substitute x in  ( 1 ) => x  +  y = 20

                                 44 - 3y + y = 20

                                     - 2y = 20 - 44

                                     - 2y = - 24

                                       2y = 24

                                       y = 12

Substitute y = 12 in  ( 1 ) => x + y = 20

                                         x + 12 = 20

                                            x = 8

Answer:

B

Step-by-step explanation:

SAS cuz ML~NJ and K is common angle

Answer: I would go with C I hope i am right!!

Step-by-step explanation:

Answer:

b. [tex] \frac{1}{16} [/tex]

Step-by-step explanation:

A = {2, 3}

B = {4, 6}

C = set of all possible fractions where, the numerators are in set A and the denominators are found in Set B

The 4 possible fractions we can get for set C are as follows:

Set C: { [tex] \frac{2}{4} [/tex] , [tex] \frac{2}{6} [/tex] , [tex] \frac{3}{4} [/tex] , [tex] \frac{3}{6} [/tex] }

Multiply all to get the product of all elements in Set C:

[tex] \frac{2}{4}*\frac{2}{6}*\frac{3}{4}*\frac{3}{6} [/tex]

Simplify where necessary

[tex] \frac{1}{2}*\frac{1}{3}*\frac{3}{4}*\frac{1}{2} [/tex]

[tex] \frac{1*1*3*1}{2*3*4*2} [/tex]

[tex] \frac{3}{48} [/tex]

Simply further

[tex] \frac{1}{16} [/tex]

Given:

The expression is:

[tex]13-\dfrac{5}{y}[/tex]

To find:

The description that matches the given expression.

Solution:

We have,

[tex]13-\dfrac{5}{y}[/tex]

Here, [tex]\dfrac{5}{y}[/tex] is describes as the quotient of five and a number and the minus sign describes the difference between 13 and the quotient.

So, the description that matches the given expression is "difference of thirteen and the quotient of five and a number".

Therefore, the correct option is C.

Answer:

the difference of thirteen and the quotient of five and a number

Step-by-step explanation:

Answer:

136

Step-by-step explanation:

as you know that discriminant of a quadratic equation is

D= b² - 4ac

here, according to the give equation

x² + 10x -7 -2= 0

x²+ 10x -9 = 0

b= 10 , c= -9 and a= 1

by putting all these values in D.

you can get the value of discriminant which is 136.

I got this explained answer from an app called GAUTHMATH. Which is completely dedicated to maths problem. You can check it out too. It's available on Play Store and App Store.

hope this helps.

Answer:

Step-by-step explanation:

a) 7² + a⁰ = 7*7 + 1 = 49 + 1 = 50

Anything raised to 0 is 1  {Eg: 15⁰ = 1 ,(-k)⁰ = 1}

b) 4³ - 3¹ = 4*4*4 - 3 = 64 - 3 = 61

c) 12x⁶ * 7x⁸ = (12*7)*x⁶⁺⁸ = 84x¹⁴

In exponent multiplication, If x is a rational number and a & b are two integers, then xᵃ * xᵇ = xᵃ⁺ᵇ

d) 49a¹³ ÷ 7a⁸ = (49 ÷ 7) * a¹³⁻⁸ = 7a⁵

In exponent division, If x is a rational number and a & b are two integers, then xᵃ ÷ xᵇ = xᵃ⁻ᵇ

e) (2y³)⁵ = 2⁵*(y³)⁵ = 32y³ˣ⁵ = 32y¹⁵

Answer:

= -2/7

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = ( 6-14)/(13 - -15)

    = (6-14)/(13+15)

    = -8/28

   = -2/7

Answer:

തത് httht bytbtybbybbtybbybyybyv6vyvyvtv5ct

Answer:

B

Step-by-step explanation:

Other answers look like utter bs

Answer:

A=-3

Step-by-step explanation:

To begin, a parabola of form a(x-h)² +k opens upward when a is positive. Similarly, when a is negative, the parabola opens downward. Therefore, a must be negative here, as our expression for the parabola is a(x-0)²+0 = ax², with (0,0) being (h,k) and the vertex.

To determine whether a should be -3 or -0.6, we can think about the values on the graph that correspond to these values. A narrower graph would have a steeper slope. A narrower graph would have a large change in y with little change in x. Therefore, as ax² = y is our equation, and when a=-3, y changes more rapidly relative to when a = -0.6, A=-3 is our answer

Answer:

C

Step-by-step explanation:

AA postulate because we are given 2 of the 3 angles of each triangle. They are both the same in each triangle. Also, we can find the 3rd angle in each triangle. Since both triangles have the exact same angles, they are similar.

The given triangles ΔABC and ΔLMN are similar by AA postulate.

A triangle is a three sided polygon that consist of three edges and three vertices .

Here two given triangles are ΔABC and ΔLMN. In these two triangles ∠A=∠L=53° and ∠B=∠M= 72°.

Therefore, the two corresponding angles of triangles ΔABC and ΔLMN are equal . So the third angle of ΔABC is also equal to the corresponding angle of ΔLMN.

Hence two triangles are similar by AA postulate.

Thus two triangles are similar by AA postulate. So option (C) is correct.

To learn more about triagles click here:

https://brainly.com/question/24147586

#SPJ7

Answer:

11/10°C

Step-by-step explanation:

7 x 3/10 = 21/10

Temperature at midnight = -1°C

Temperature at 7.00 am = 21/10°C -1°C = 11/10°C

Answer:

1.1°C

Step-by-step explanation:

Assuming we are starting at midnight, we know that at midnight it is -1°C. We want to find the temperature at 7:00 AM. Or 7 hours later than midnight. The question says that every hour the temperature rises by 3/10°C. In 7 hours, we need to multiply 3/10*7=21/10=2.1 °C. So, it rises by 2.1 °C. Next add that to the -1 from midnight. Do 2.1+-1=1.1 °C.

Hope this helps!

Answer:

The length of the complete track= [tex]7.549\times 10^{23} m[/tex]

Step-by-step explanation:

We are given that

Capacity of CD-ROM=800MB=[tex]800\times 20^{20} bytes[/tex]

1 byte=9 microns

[tex]1micron=10^{-6}m[/tex]

We have to find the  length of the complete track in m.

We change MB into  micron

[tex]800\times 20^{20} bytes=800\times 20^{20}\times 9microns[/tex]

=[tex]7200\times 20^{20} microns[/tex]

Now, we change micron into m

[tex]7200\times 20^{20} microns=7200\times 10^{-6}\times 20^{20} m[/tex]

=[tex]7.549\times 10^{23} m[/tex]

Hence, the length of the complete track= [tex]7.549\times 10^{23} m[/tex]

Answer:

185 is divisible by 5.

Step-by-step explanation:

Anything that ends in a 0 or 5 can be divisible by 5.

Answer:

Hello There!!

Step-by-step explanation:

The answer is B)185 because a number divisible by 5 ends in 0 or 5.

hope this helps,have a great day!!

~Pinky~

Answer:

❍ C. tan θ = 8 / 15

Step-by-step explanation:

Using trigonometry functions

sin θ = opposite side / hypotenuse

= 8 / 17

tan θ = opposite side / adjacent side

= 8 / 15

Hence, tan θ = 8 / 15 which is option C. is the correct statement.

Hi!

i think We can set up a proportion to solve this

\frac{3}{12} \frac{x}{16}

12

3

16

x

Cross multiply

3 x 16 = 48

48/12 = 4

The answer is 4

Hope this helps! :)

Answer:

A

Just took the test, you're welcome :)

-2y = x + 6 Graph A On a coordinate plane, a line goes through (negative 6, 0), and (1, negative 3) is the right answer

The coordinate plane is a system of representation and description of points and lines. The vertical (y) and horizontal (x) axes form the coordinate plane. The coordinate plane has four quadrants. The point where these lines connect is called the origin (0,0).

The properties of each of the four quadrants of the coordinate plane are:

Learn more about coordinate plane here:https://brainly.com/question/10737082

#SPJ2

Answer:

Letter A) 5

Step-by-step explanation:

all the other answers are negative so they are less than 4.

5 comes after 4 so 5 is greater than 4.

Hope this is helpful

Answer:

I need the picture.

Answer:

A. infinitely many

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Solving systems of equations

Step-by-step explanation:

If 2 lines are parallel (same slope, different y-intercept), they would have no solution.

If 2 lines were the same (same slope, same y-intercept), they would have infinite amount of solutions.

Answer:

three consecutive even integers whose sum is 24 are 6, 8 and 10.

Divide the total by amount of numbers. This will be the middle value:

24/3 = 8

The numbers are consecutive even numbers so use the even number below and above 8, which are 6 and 10.

6 + 8 + 10 = 24

The 3 consecutive even numbers are 6, 8 and 10

Answer:

x = -3

Step-by-step explanation:

-8x - 18 + 7 + 2x = 5 - 3x - 4 + x

-8x + 2x + 3x - x = 18 - 7 + 5 -4

-4x = 12

x = -3

Answer:

Step-by-step explanation:

a. P(Z > 1.12) = 1-N(1.12) = 1-0.8686431=0.1313569

b. P(Z S-2.35)  => P(Z <= 2.35) = 0.009386706

(please check interpretation of question b)

c. POSZ s 1.34) => P(0 <= Z <= 1.34) =  0.9098773 - 0.5 = 0.4098773

(please check interpretation of question c)

d. P(-0.8 sz s 2.44) => P(-0.8 <= 2.44) = 0.9926564 - 0.2118554 = 0.780801

(please check interpretation of question d)

The probabilities of the standard normal variable are 0.1313, 0.009386, 0.4098773, and 0.780801.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The probability of the following standard normal variable will be given by the z-score table.

a. P(z > 1.12) = 1 - P(z = 1.12) = 1 - 0.8686 = 0.1313

b. P(z ≤ -2.35) = P(z < 2.35) = 0.009386

c. P(0 ≤ z ≤ 1.34) = 0.9098773 - 0.5 = 0.4098773

d. P(-0.8 ≤ z s 2.44) = 0.9926564 - 0.2118554 = 0.780801

More about the z-score link is given below.

https://brainly.com/question/13299273

Answer:

37.68m^3

2143.57 m^3

Step-by-step explanation:

Volume of a cone 1/3(nr^2h)

n = 3.14

(1/3) x (3^2) x 4 x 3.14 = 37.68

Volume of a sphere = 4/3 x pi x r^3

4/3 x 8^3 x 3.14 =

Answer:

the maximum is 450 and the minimum is 0.

Step-by-step explanation:

We know that:

P(x, y) = 25*x + 45*y

First, is easy to see that as x and y increase, also does the value of P(x, y)

So we just need to find the largest and smallest possible values of these variables. We also can notice that the variable y is being multiplicated by a larger coefficient than x, so we prioritize larger values of y when we can.

We know that:

4x+y ≤ 16

x + y ≤10

x≥0

y≥0

Let's start with the second inequality, let's solve this for y:

y ≤ 10 - x

and from the first one we get:

y ≤ 16 - 4*x

Just to show that maximizing x does not work, let's do it:

from the second one, knowing that the minimum value of y is y = 0

we have that:

0 ≤ 16 - 4*x

Here the maximum value that y can take is x = 1

0 ≤ 16 - 4*1 = 0

So we can have the combination y = 0 and x = 1, when we maximize x (here we can see that we should not maximize x)

in this case we get:

P(1, 0) = 25*1 + 47*0 = 25

let's write again our inequalities:

y ≤ 10 - x

y ≤ 16 - 4*x

If now we take the minimum value of x, x = 0, we get:

y ≤ 10

y ≤ 16

Because the first one is more restrictive, we know that the maximum value that y can take (when x = 0) is y = 10

in this case we get:

P(0, 10) = 25*0 + 45*10 = 450

As expected, here is the actual maximum for the given restrictions.

For the minimum, we just need to take the two lowest possible values of x and y, which are the two given by the equalities on:

x≥0

y≥0

The smallest values are:

x = 0

y = 0

Replacing that in the equation we get:

P(0, 0) = 25*0 + 47*0 = 0

So the maximum is 450 and the minimum is 0. (with the given restrictions)

Answer:

$16,200

Step-by-step explanation:

y = 20,000(1 - 0.1)^2

y = 20,000(0.9)^2

y = 20,000(0.81)

y = 16,200

$16,200