I would appreciate if someone could answer this :)

I Would Appreciate If Someone Could Answer This :)

Answers

Answer 1

Answer:

x = 8

y = 6

Step-by-step explanation:

Recall that one of the properties of a parallelogram is that the diagonals bisect each other, which means they divide each other into equal segments.

Therefore,

LP = PN

x = y + 2 (eqn. 1)

PM = KP

2x - 8 = y + 10 (eqn. 2)

Substitute x = y + 2 into eqn. 2 to find y

Thus:

2(y + 2) = y + 10

2y + 4 = y + 10

Take like terms

2y - y = -4 + 10

y = 6

Substitute y = 6 into eqn. 1 to find x:

x = y + 2 (eqn. 1)

x = 6 + 2

x = 8


Related Questions

An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow.:

Car
Compact Intermediate Full Size
Analyzer Computerized 50 55 63
Electronic 42 44 46

The following regression model can be used to analyze the data for a randomized block design involving two treatments and three blocks.

E(y) = 0 + 1x1 + 2x^2 + 3x^3
Show the values of the variables below.

Analyzer x1
Computerized __________
Electronic 1

Answers

Answer:

the value of the variable is 10

Madge has cut out two triangular shapes from a block of wood, as shown below. Are the two shapes similar? Show your calculations.

Answers

Yes, the larger one is twice the smaller one.
8*2=16
5*2=10

The graph below does not represent a function. Explain why.

Answers

Notice how points T and Z are vertically aligned, or vertically lined up. This is where the graph fails the vertical line test.

The input x = 2 leads to the outputs y = 3 and y = 5 (which are the y coordinates of points Z and T in that order).

A function is only possible when any given input leads to exactly one output only. It would be like saying "the conversion function from Celsius to Fahrenheit has 0 degrees C convert to both 32 degrees F and 50 degrees F at the same time". But such a statement makes no sense and it's not useful. So this is one example of why having one output makes sense for a function.

In short, we need one output for any given input. But the input x = 2 leads to more than one output. That's why we don't have a function.

7x_=8x7 Nonsense report

Answers

Answer:

hope it help ful ✓ ......

Write a system of equations to describe the situation below, solve using substitution, and fill in the
blanks.
Peter is going to send some flowers to his wife. Cedarburg Florist charges $3 per rose, plus $21 for
the vase. Sally's Flowers, in contrast, charges $2 per rose and $26 for the vase. If Peter orders the
bouquet with a certain number of roses, the cost will be the same with either flower shop. How
many roses would there be? What would the total cost be?
If the bouquet contains
roses, it will cost $
My

Answers

Answer:

R=5

Step-by-step explanation:

3r+21

2r+26

3r+21=2r+26

r=5

the single discount of two successive discounts 10% and 5% is​

Answers

Answer:

14.5%

Step-by-step explanation:

Use the number 100 as an example to find the single discount.

Take a 10% discount off of this:

100(0.9)

= 90

Take a 5% discount:

90(0.95)

= 85.5

So, after the successive discounts, $14.5 was discounted.

This means that the single discount is 14.5%.

So, the answer is 14.5%

If angles of measures (x - 2) and (2x + 5) are a pair of supplementary angles, find the measures of those angles

Answers

Answer:

Solution: Since (x - 2)° and (2x + 5)° represent a pair of supplementary angles, then their sum must be equal to 180°. Therefore, the two supplementary angles are 57° and 123

Which graph shows the line y = 2x + 3?
C
НА
A
D
B
A. Graph A
Ο Ο
B. Graph D
C. Graph B
D. Graph C

Answers

the answer is letter B.graph D

Please help ,cant figure it out. ​

Answers

Answer:

B. √2^5

Step-by-step explanation:

(2^½. 2^¾)²

= 2¹ . 2^(1½)

= 2^(2½)

= 2^(5/2)

=√2^5

If you apply these changes to the linear parent function, f(x) = x, what is the
equation of the new function?
• Vertically compress by a factor of 7.
• Shift up 9 units.
O A. DY) = 7x+9
O B. g(x) = = x+9
O C. () = 7(x-9)
O D. g(x) = + (x+9)

Answers

Answer:

The equation of the new function is [tex]g(x) = 7x + 9[/tex]

Step-by-step explanation:

Vertically compress by a factor of 7.

Vertically compressing a function by a units is the same as:

[tex]g(x) = f(ax)[/tex]

In this question:

[tex]f(x) = x, a = 7[/tex]. So

[tex]g(x) = f(7x) = 7x[/tex]

Shift up 9 units.

Shifting a function up a units is the same thing as adding a to the function. In this case, [tex]a = 9[/tex], and then:

[tex]g(x) = 7x + 9[/tex]

The equation of the new function is [tex]g(x) = 7x + 9[/tex]

I need to find the equal expression to -m(2m+2n)+3mn+2m². Help please?

Answers

[tex]m(2m+2n)+3mn+2m^2\implies \stackrel{\textit{distributing}}{2m^2+2mn}+3mn+2m^2 \\\\\\ 2m^2+2m^2+2mn+3mn\implies \stackrel{\textit{adding like-terms}}{4m^2+5mn}[/tex]

What are the four answers?

Answers

Answer:

CLAE

Step-by-step explanation:

1=43

2=28

3=24

4=83

What is 7 and 1/3 times 2 and 2/11 equal?

Answers

Answer:

16

Step-by-step explanation:

First, convert both into improper fractions. 7 1/3=22/3. 2 2/11=24/11.

Lastly, multiply 22/3*24/11=528/33=16

Hope this helps!

The value of given expression is 28/33.

What is the product of two fractions?

The product of two fractions is the product of the numerators and the product of the denominators.

Product of two fractions = Product of their numerators / Product of their denominators

Given that, 7 and 1/3 times 2 and 2/11.

Now, 7× [tex](\frac{1}{3} \times2)[/tex]× 2/11

= 7× 2/3× 2/11

= (7×2×2)/(3×11)

= 28/33

Therefore, the value of given expression is 28/33.

To learn more about the product of two fractions visit:

https://brainly.com/question/7335118.

#SPJ2

6. There were 900 sweets in 3 boxes, A, B and C. 18 sweets were transferred from A to B and 5
sweets were transferred from B to c. of the sweets in C were then transferred to A. There were
then an equal number of sweets in all 3 boxes. How many sweets were there in each box at first?
28

Answers

Answer: a=168, b=287, c=445

Step-by-step explanation:

I can’t get this answer right

Answers

Answer:

A

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Solve the inequality -6c< -12

Answers

Answer: c<2

Step-by-step explanation:

-6c<-12

c<-12/-6

c<2

Area of a trapezoid
Find the area of this trapezoid. Be sure to include the correct unit in your answer.
6 cm
0
10 cm
8 cm
12 cm

Answers

Answer:

h

Step-by-step explanation:

h

1 +3 = ????????????????

Answers

One and three are both numbers. We can add the, together and get another number. The fact that these two numbers should be added is shown by the symbol between them. Adding 1 to 3 equals to 4.

What is the probability of rolling a number less than or equal to 8 with the
sum of two dice, given that at least one of the dice must show a 6?

Answers

Answer:

I hope this helps

the outcomes are the compulsory 6, and 1 or 2

Step-by-step explanation:

[tex] \frac{3}{6} \\ \frac{1}{2} or \: 0.5[/tex]

For the function f(x)=−7x^3−8x+2x^2, Step 1 of 2 : Find the slope of the tangent line at x=1.

Answers

Answer:

The slope of the tangent line at x = 1 is -25.

Step-by-step explanation:

We are given the function:

[tex]f(x)=-7x^3-8x+2x^2[/tex]

And we want to find the slope of the tangent line at x = 1.

The slope of the tangent line at a point for a function is given by its derivative. Find the derivative of the function:

[tex]f'(x)=-21x^2+4x-8[/tex]

Then the slope of the tangent line at x = 1 is:

[tex]f'(1)=-21(1)^2+4(1)-8=-25[/tex]

what would it look like?

Answers

x^2 + y^2 = 12.25

The above equation is the equation for a circle. The formula for the equation of a circle is (x - h)^2 + (y - k)^2 = r^2.

Looking at the given equation, x and y, otherwise known as the center, are not shifted at all. This mean that the center of our circle is at (0,0).

To find the radius, we take the square root of 12.25, which is 3.5. Therefore, go 3.5 units up, down, left, and right (to make a + sort of shape) from the center and then connect the points to make the circle.

Hope this helps!! :)

Answer:

Step-by-step explanation:

The graph of x^2 + y^2 = 12.25 will be a circle with centre at (0, 0) and radius will be √12.25 = 3.5.

2x + y = 1  is a straight line

y = -2x + 1 so it will pass through the y axis at y = 1 and also through the point

(-1/2, 0).

Where the line passes through the circle will be the solutions to the system.


The perimeter of a triangle is 57 inches. Twice the length of the longest side minus the length of the shortest side is 22 inches. The sum of the length of the longest side and twice the sum of both the other side lengths is 94 inches. Find the side lengths

Answers

[tex]\begin{cases} a = shortest\\ b = medium\\ c = longest \end{cases} \begin{array}{llll} \stackrel{\textit{perimeter is 57}~\hfill }{a + b + c = 57}~\\\\\stackrel{\textit{twice longest minus shortest}}{2c-a=22~\hfill }\\\\ \stackrel{\textit{longest plus twice others}}{c + 2(a+b) = 94~\hfill } \end{array} \\\\[-0.35em] ~\dotfill\\\\ 2c-a=22\implies 2c=a+22\implies \boxed{2c-22=a} \\\\\\ \stackrel{\textit{we know that}}{c+2(a+b)=94}\implies c+2a+2b=94\implies c+2(2c-22)+b=94[/tex]

[tex]c+4c-44+2b=94\implies 5c-44+2b=94\implies 5c+2b=138 \\\\\\ 2b=138-5c\implies \boxed{b = \cfrac{138-5c}{2}} \\\\\\ \stackrel{\textit{we know the perimeter is}}{57=a + b + c}\implies 57 = \stackrel{a}{(2c-22)}+\stackrel{b}{\cfrac{138-5c}{2}}+c \\\\\\ 57=2c-22+\cfrac{138}{2}-\cfrac{5c}{2}+c\implies 57=3c-22+69-\cfrac{5c}{2} \\\\\\ 57=3c-47+\cfrac{5c}{2}\implies 10=3c-\cfrac{5c}{2}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{20=6c-5c}[/tex]

[tex]\blacktriangleright 20=c \blacktriangleleft \\\\\\ \boxed{2c-22=a}\implies 40-22=a\implies \blacktriangleright 18=a \blacktriangleleft \\\\\\ \boxed{b = \cfrac{138-5c}{2}}\implies b=\cfrac{138-5(20)}{2}\implies b=\cfrac{38}{2}\implies \blacktriangleright 19 \blacktriangleleft[/tex]

In this figure below, lines m and n are parallel: image above ^
HELPP PLS ASAP

Answers

Answer:

83 or a

Step-by-step explanation:

if angle 6 is 97 then the total would be 180 meaning that 83 would be the answer to 5s angle

"83 degrees" is correct.

On a line, it can be assumed that all the angles must add up to 180 degrees. If you have two angle on a line and don't know the value of one of them, you can subtract that angle from 180 to find the missing angle. Considering this, 180 - 97 = 83.

Alex drives at an average speed that is
1
5
of the average speed that Roy's train travels.
Alex takes 15 minutes to travel 12 km in her car.
Roy travels for 1 hour and 20 minutes on his train.
How far does Roy travel to 2 dp?





plz i need asap

Answers

Answer:

ayy sensya na po Yan din po hanap Kong answer

A person invests $3,500 in an account that earns 7.5% interest compounded continuously. What is the value of the investment after 4 years?

Answers

I think it's: 4,674.14$

Answer:

A = $4724.36

Step-by-step explanation:

P = $3500

r = 7.5% = 0.075

t = 4years

n = 365

     [tex]A = P(1 + \frac{r}{n})^{nt}\\\\[/tex]

        [tex]=3500(1 + \frac{0.075}{365})^{365 \times 4}\\\\=3500(1.00020547945)^{365\times4}\\\\= 3500 \times 1.34981720868\\\\= 4724.36023037\\\\= \$ 4724.36[/tex]

What is the value of log Subscript 5 Baseline 125?

Answers

Answer:

[tex]log_5 \ 125 = 3[/tex]

Step-by-step explanation:

[tex]log_5 \ 125 = log_2 \ 5^3 = 3 \times log_5 \ 5 = 3 \times 1 = 3[/tex]

The value of [tex]$\log _{5} 125$[/tex] can be estimated utilizing the logarithm rule. The value of [tex]$\log _{5} 125$[/tex] exists 3.

What is a logarithm?

The logarithm stands for the inverse function of exponentiation. In logarithm base must be raised to yield a given number for an exponent.

Given:

[tex]$\log _{5} 125$[/tex]

Estimate the value of the given logarithm, we get

[tex]$\log _{5} 125=\log _{5}(5)^{3}$[/tex]

[tex]$\log _{5} 125=3 \log _{5} 5$[/tex]

From logarithm rule [tex]$\log m^{n}=n \log m$[/tex], we get

[tex]$\log _{5} 125=3 \times 1$[/tex]

[tex]$\log _{5} 125=3$[/tex]

Therefore, the value of [tex]$\log _{5} 125$[/tex] is 3.

To learn more about logarithm

https://brainly.com/question/26240264

#SPJ2

Find the height of this triangle.

Answers

Answer:

[tex]\sqrt{3}[/tex]

Step-by-step explanation:

x^2 + 1 = 4

x^2 = 3

[tex]\sqrt{3}[/tex]


the equation x^2 + y^2 + 21 = 40 + 18y. What is the radius of this cookie?​

Answers

Answer:

The radius is 10

Step-by-step explanation:

Given

[tex]x^2 + y^2 + 21 = 40 + 18y.[/tex]

Required

The radius

Rewrite as:

[tex]x^2 + y^2 - 18y = 40-21[/tex]

Subtract 81 from both sides

[tex]x^2 + y^2 - 18y +81= 40-21+81[/tex]

Expand

[tex]x^2 + y^2 - 9y - 9y +81= 40-21+81[/tex]

Factorize

[tex]x^2 + y( y- 9) - 9(y -9)= 40-21+81[/tex]

Factor out y - 9

[tex]x^2 + (y- 9) (y -9)= 40-21+81[/tex]

Express as squares

[tex]x^2 + (y- 9)^2= 100[/tex]

[tex]x^2 + (y- 9)= 10^2[/tex]

The equation of a circle is:

[tex](x - a)^2 + (y- b)= r^2[/tex]

By comparison:

[tex]r^2=10^2[/tex]

[tex]r = 10[/tex]

As part of a board game, players choose 5 unique symbols from 9 different symbols to create their secret password. How many different ways can the players create a specific 5 symbol password?

Give your answer in simplest form.

Answers

Answer:

[tex]15,120[/tex]

Step-by-step explanation:

For the first symbol, there are 9 options to choose from. Then 8, then 7, and so on. Since each player chooses 5 symbols, they will have a total of [tex]9\cdot 8 \cdot 7 \cdot 6\cdot 5=\boxed{15,120}[/tex] permutations possible. Since the order of which they choose them matters (as a different order would be a completely different password), it's unnecessary to divide by the number of ways you can rearrange 5 distinct symbols. Therefore, the desired answer is 15,120.

Answer:15,120

Step-by-step explanation:

pls answer i’ll give brainliest if it lets me

Answers

Answer:

32.25

Step-by-step explanation:

1 quart = 32 fluid ounces

12 months = 1 year

86 quarts/1 month = 1032 quarts/12 months

1032/32 = 32.25 fluid ounces

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