PLEASE HELP!!!!! 25 POINTS!!!!!!

PLEASE HELP!!!!! 25 POINTS!!!!!!

Answers

Answer 1

Answer:

The values of x and y that make the quadrilateral is a parallelogram are x = 12 and y = 21

Step-by-step explanation:

In the parallelogram, every two opposite sides are equal in lengths

In the given figure

If DEFG is a parallelogram, then DE = GF and DG = EF

∵ DE = GF

∵ DE = 6x - 12 and GF = 2x + 36

→ Equate them

6x - 12 = 2x + 36

→ Subtract 2x from both sides

∵ 6x - 2x - 12 = 2x - 2x + 36

∴ 4x - 12 = 36

→ Add 12 to both sides

∵ 4x - 12 + 12 = 36 + 12

∴ 4x = 48

→ Divide both sides by 4

x = 12

∵ DG = EF

∵ DG = 6y - 42 and EF = 4y

→ Equate them

6y - 42 = 4y

→ Add 42 to both sides

∵ 6y - 42 + 42 = 4y + 42

∴ 6y = 4y + 42

→ Subtract 4y from both sides

∵ 6y - 4y = 4y - 4y + 42

∴ 2y = 42

→ Divide both sides by 2

y = 21

The values of x and y that make the quadrilateral is a parallelogram are

   x = 12 and y = 21


Related Questions

Juanita decided to start saving for college. She deposited $500 into an account which earns 4% simple annual interest. How much will she have in her account after the end of the three years?

A: $60.00

B: $440.00

C: $560.00

D: 562.43​

Answers

Answer:

The answer is D

Step-by-step explanation:

can someone PLEASE help me find z and x !! (i will mark you brainliest)

Answers

Answer:

X=24 Z=110

Step-by-step explanation: correct me if im wrong because im not 100% sure.

Answer:

z=110° and x=24°

Step-by-step explanation:

z°=(5x-10)°[Being the pair of vertically opposite angle]

z+70°=180[Being the pair of straight angle]

or, z=180-70

z= 110

Again ,

z=(5x-10)°

or, 110=5x-10

or, 110+10=5x

or, 120=5x

or, 120/5=x

x=24°

Find the area of a circle with a diameter 6

Answers

A≈28.27 hope this helps!

When a ball is thrown into the air, it falls back to the round. What
causes this to happen?
A.The round shape of the ball.
B.The way the ball is thrown.
C.The force of air against the ball.
D.The force of gravity on the ball.

Answers

Answer:

force of gravity on the ball

Step-by-step explanation:

when you throw something up it will come down

x = [?]
5x - 5
2x + 10

Answers

Answer:

I thinks it’s 7x + 5

Step-by-step explanation:

Find the area of each geometric figure or product of the polynomial.

(5n + 3)

A) 5n2 + 4n - 1
B) 25n2 + 30n + 9
C) 25n2 + 9
D) 25n2 - 9 ​

Answers

it’s c
Because you do 5n+3 times 5n+3 and you get 25n^2+9

The pic is the question! Please help

Answers

Answer:

93

Step-by-step explanation:

150×62%

150×62/100

15×62/10

=930/10

=93

Answer:

93 is your correct answer

Step-by-step explanation:

A population of 752,000 people decreases at a rate of 1.4% each year. Let t represent the number of years and A(t) represent the amount after years, Which function models this situation?

Answers

Solution :

Initial population, P = 752,000 .

Rate of decrease, r = 1.4 % .

Now, population decrease in 1st year :

[tex]P_1 = P( 1 - 0.014 )[/tex]

Also, population decrease in 2nd year :

[tex]P_2 = P_1( 1 -0.014 )\\\\P_2 = P( 1 - 0.014)^2[/tex]

Similarly for each next x year, population will be :

[tex]P_x = P( 1-0.014)^x[/tex]

Therefore, population after x years is given by :

[tex]P_x = 752000 ( 1-0.014)^x[/tex]

Brad went to Walnut and purchased 4 pounds of cashews and 2 pounds
of peanuts for a total of $36. Roberto also went to Walnut but purchased
7 pounds of cashews and 6 pounds of peanuts for a total of $73.
Price per pound for cashews was $
Price per pound for peanuts was $

Answers

Answer:

Price per pound for cashews = $7

Price per pound for peanuts = $4

Step-by-step explanation:

Let,

x be the price per pound of cashews

y be the price per pound of peanuts

According to given statement;

4x+2y=36      Eqn 1

7x+6y=73      Eqn 2

Multiplying Eqn 1 by 3

3(4x+2y=36)

12x+6y=108     Eqn 3

Subtracting Eqn 2 from Eqn 3

(12x+6y)-(7x+6y)=108-73

12x+6y-7x-6y=35

5x=35

Dividing both sides by 5

[tex]\frac{5x}{5}=\frac{35}{5}\\x=7[/tex]

Putting x=7 in Eqn 1

4(7)+2y=36

28+2y=36

2y=36-28

2y=8

Dividing both sides by 2

y=4

Hence,

Price per pound for cashews = $7

Price per pound for peanuts = $4

5,000 people visited a bookfair in the first week. The numbers increased by 10% in the second week. how many people visited the book fair the second week?
please show your work and explain

Answers

Answer:

5500

Step-by-step explanation:

5000 + (10 / 100) x 5000 = 5000 + (1/10) x 5000 = 5000 +500= 5500 people visted the book fair in the second week

Find the value of x

a. 7.5
b. 6
c. 10
d. 8

Answers

The value of the missing part of the triangle given above would be = 7.5. That is option A.

How to calculate the missing value of the given triangle?

To calculate the missing length of the similar triangle, the formula listed below should be used.

That is;

a/a+b = c/c+d

where a = 8

b = 10

c = 6

d = ?

That is;

8/8+10 = 6/6+d

make d the subject of formula;

8(d+6) = 6(18)

8d +48 = 108

8d = 108-48

8d = 60

d = 60/8

d = 7.5

Learn more about triangles here:

https://brainly.com/question/28470545

#SPJ1

Make x the subject of the formula
X
y = x/a+b

Answers

Step-by-step explanation:

[tex]y = \frac{x}{a} + b \\ \frac{x}{a} = y - b \\ x = \frac{y - b}{a} \\ x = \frac{y}{a} - \frac{b}{a} [/tex]

What is 0^-4? What is 0^0? Please help me.

Answers

Answer:

A. Infity and B. is 1

Step-by-step explanation:

Help Asap 39 points pic below

Answers

The answer is B! Hopefully this helps a lot ......GOOD LUCK

what is the height of the square pyramid

Answers

Answer:

16 is the answer cuz it have base of 12 so the height will be bigger than base.

Mr Martin has 120 CDs. The ratio of indie CDs to dance CDs is 5:7. How many of each type of CDs does he have.

Answers

Answer

Martin has 50 indie CDs and 70 dance CDs

Step-by-step explanation:

5+7=12 120/12 =10 10x5=50 and 10x7=70 So Martin has 50 indie cds and 70 dance CDs

Solve for x.
3x - 4
8
R.
T
S
2x + 9

what is the answer

Answers

I need more information to help you sorry lol

a choir director made a histogram showing the ages of the members of the choir. which statement about the data in the histogram must be sure?
answer options are in the picture!!

Answers

Answer:

the Choir has total of 100 members must be correct answer

more than half......................... can't be right cause there r exactly 50 members between 43-73,

second one can't be right cause no data was given no. of men and women

there r 35 members exactly who r less than 32 years so it's wrong.

hope it helps.

Answer:

the Choir has total of 100 members

Step-by-step explanation:

PLEASE HELP MEE I NEED TO TURN THIS IN SOON

Answers

Answer:

7x=7

Step-by-step explanation:

On a coordinate plane, the center of a circle P is at the point (2, 15) . Point M is located on the circle at (7, 3). Which equation describes circle P?

Answers

Answer: (x - 2)^2 + (y - 15)^2 = 13^2

Step-by-step explanation:

We know that the general equation for a circle is:

(x - a)^2 + (y - b)^2 = R^2

Where:

(a, b) is the center of the circle

R is the radius of the circle.

First, we know that the center of the circle is the point P, (2, 15)

Now, we also know that point M, (7, 3), is located at the circle.

Then we know that the radius of the circle will be equal to the distance between point P and point M.

Remember that the distance between two points (a, b) and (c, d) is:

Distance = √( (a - c)^2 + (b - d)^2)

Then in our case, we have:

Distance = √( (2 - 7)^2 + (15 - 3)^2) = √(25 + 144) = 13

This means that the radius of the circle is R = 13.

Now we know the radius of the circle and the center of the circle, then we can write the equation of the circle as:

(x - 2)^2 + (y - 15)^2 = 13^2

please help and show work if you can​

Answers

Answer:

38. <1 = [tex]38^{o}[/tex], <2 = [tex]32^{o}[/tex], <3 = [tex]110^{o}[/tex]

39. <1 = [tex]71^{o}[/tex], <2 = [tex]28^{o}[/tex], and <3 = [tex]81^{o}[/tex]

Step-by-step explanation:

38. Sum of angles in a triangle = [tex]180^{o}[/tex]

So that;

38 + 110 + <2 = [tex]180^{o}[/tex]

148 + <2 = [tex]180^{o}[/tex]

<2 = [tex]180^{o}[/tex] - 148

<2 = [tex]32^{o}[/tex]

Thus,

<1 = [tex]38^{o}[/tex] (alternate angle principle)

<3 = [tex]110^{o}[/tex]

Therefore;

<1 = [tex]38^{o}[/tex], <2 = [tex]32^{o}[/tex], <3 = [tex]110^{o}[/tex]

39. <2 = [tex]28^{o}[/tex] (alternate angle principle)

So that;

sum of angles in a triangle = [tex]180^{o}[/tex]

<1 + <2 + 81 = [tex]180^{o}[/tex]

<1 + [tex]28^{o}[/tex] + 81 = [tex]180^{o}[/tex]

<1 + 109 = [tex]180^{o}[/tex]

<1 = [tex]180^{o}[/tex] - 109

   = [tex]71^{o}[/tex]

<1 = [tex]71^{o}[/tex]

<3 = [tex]81^{o}[/tex]

<1 = [tex]71^{o}[/tex], <2 = [tex]28^{o}[/tex], and <3 = [tex]81^{o}[/tex]

What is the translation rule for this transformation?
options:

T(x, y) -> (x+3, y+6)

T(x, y) -> (x-3, y-6)

T(x, y) -> (x -6, y-3)

T(x, y) -> (x+6, y+3)

Answers

9514 1404 393

Answer:

  (b)  T(x, y) -> (x-3, y-6)

Step-by-step explanation:

Each image point is 3 left and 6 down from the corresponding pre-image point. That is -3 is added to each x-value, and -6 is added to each y-value. That transformation is represented by ...

   T(x, y) ⇒ (x-3, y-6)

someone please help!

Answers

IT IS THE THIRD ONE:

3+8.486

because I find it like that

What is the sum of an even number plus an odd number? please explain in detail only please, everyone is saying its always odd, others are saying its always even, shouldn't it be both I mean jesus

Answers

Answer:

The sum of an even number plus an odd number is odd.

Step-by-step explanation:

The sum of an even number and an odd number is odd.

For example:

2+3=5

11+10=21

51+32=83

The end digit of an even number is always 0, 2, 4, 6, or 8

The end digit of an odd number is 1, 3, 5, 7, or 9.

So if we add only the end digit of an even and an odd number we can find no combination that can give end digit 0, 2, 4, 6, or 8(i.e even).

Hence, the sum of an even number plus an odd number is odd.

Which of the following is equivalent to the expression (mn)^1/5?

Answers

Answer:

its not showing me the equation

Step-by-step explanation:

>>>>>

28 divided by 5 gvbhcjdxksalskdfjghnvjckfkckkvkvjv

Answers

Answer:

5.6

Step-by-step explanation:

HAve a nice day!

write the equation of a line perpendicular to 2y+x=4 and passes through the point (2,1) ​

Answers

Answer:

Por favor, dame una captura de pantalla de la pregunta No entiendo esto gracias

Answer:

[tex]-2x+y=-3[/tex]

Step-by-step explanation:

Recall perpendicular lines have negative-reciprocal slopes. Since the equation [tex]2y+x=4[/tex] has a slope of [tex]-\frac{1}{2}[/tex] ([tex]y=-\frac{1}{2}x+2[/tex]), any line perpendicular to it will have a slope of [tex]-\frac{1}{-\frac{1}{2}}=2[/tex].

Therefore, we have the line:

[tex]y=2x+b[/tex] where [tex]b[/tex] is the y-intercept.

We can plug in the point it passes through to find the final equation:

[tex]1=2(2)+b,\\b=1-4,\\b=-3[/tex].

Therefore, the equation of the line perpendicular to  [tex]2y+x=4[/tex] that passes through the point [tex](2, 1)[/tex] is:

[tex]y=2x-3[/tex] (slope-intercept form)

However, since the initial line given is in standard form, re-write this equation to standard form:

[tex]y=2x-3,\\y-2x=-3,\\\fbox{$-2x+y=-3$}[/tex].

there are 15 pieces of fruit in a bowl and 6 of them are apples what percentage of the pieces of fruit is in the bowl of apples​

Answers

Answer:

40%

Step-by-step explanation:

6/15=.4 move the decimal 2 spots to the right to get percentage :)

What is the answer??

Answers

Answer:

I think its lines cause u use lines when you draw

Lines is the only answer that makes sense

Does anyone know how to tell if a graph is inverse

Answers

Step-by-step explanation:

A function f(x) has an inverse, or is one-to-one, if and only if the graph y = f(x) passes the horizontal line test. A graph represents a one-to-one function if and only if it passes both the vertical and the horizontal line tests.

you can tell if the graph is inverse if f(x) passes the horizontal line test ( basically if it touches the line that goes across *horizontally* on the graph) and a graph is a one to one function if and ONLY if it touches both vertical and horizontal lines on the graph

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