Find x and y so the quadrilateral is a parallelogram.

Find X And Y So The Quadrilateral Is A Parallelogram.

Answers

Answer 1

Answer:

Summary:

The value of x = 7 The value of y = 4

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other.

As

The parallelogram PQRS is given, so

RT = TP

Given

RT = xTP = 5x-28

plug in RT = x and TP = 5x-28 in the equation RT = TP

RT = TP

x = 5x-28

switch the sides

5x-28 = x

adding 28 in both sides

5x-28+28 = x+28

simplify

5x = x+28

subtract x from both sides

5x-x = x+28-x

4x = 28

divide boh sides by 4

4x ÷ 4 = 28  ÷ 4

simplify

x = 7

Therefore, we conclude that the value of x is: x = 7

Similarly,  

QT = TS

Given

QT = 5yTS = 2y+12

plug in QT = 5y and TS = 2y+12 in the equation QT = TS

QT = TS  

5y = 2y+12

subtract 2y from both sides

5y - 2y = 2y+12-2y

simplify

3y = 12

divide both sides by 3

3y ÷ 3 = 12 ÷ 3

simplify

y = 4

Therefore, we conclude that the value of y is: y = 7

Summary:

The value of x = 7 The value of y = 4

Related Questions

4 In Ms. Smith's class of 26 students, 12 wear glasses. What is the ratio of students who
wear glasses to those who don't?
A. 12:26
B. 26:12
C. 12:14
D. 4:12

Answers

if 4 isn’t part of the question it would be out of 26 students 12 wear glasses so 12:26

Answer:

C

Step-by-step explanation:

A parabola can be drawn given a focus of (6,-2)and a directrix of x = -−3. What can be said about the parabola?

Answers

Answer:4

Step-by-step explanation:

6,-2=x-3=4

0.03y=-0.01x+0.12
HALP
GRAPH PLEASE

Answers

I hope this helps :)

Item 9 Forty-five basketball players participate in a tournament. Write and solve an equation to find the number x of 3-person teams that they can form. An equation that represents this problem is =45. They can form 3-person teams.

Answers

Answer: See explanation

Step-by-step explanation:

Since forty-five basketball players participated in the tournament and a 3-person team wants to be formed, the equation to find the number x of 3-person teams that they can form will be:

3x = 45

x = 45/3

x = 15

Therefore, 15 3-person team can be formed.

PLS HELP ASAP, I'll give BRAINLIEST

Find the length of the longest side of the triangle whose vertices are D(4,1), E(9,6) and F(5, -4).

Answers

Answer:

the answer is approximately 8.2 units.

what number is one hundred more than 890

Answers

Answer:

990

Do 100+890

its simple math

The number that is one hundred more than 890 would be,

⇒ 990

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that,

To find a number that is one hundred more than 890.

Let us assume that,

The number that is one hundred more than 890 = x

Hence, it can be written as,

⇒ x = 890 + 100

Solve for x,

⇒ x = 990

Therefore, the number that is one hundred more than 890 = 990

To learn more about the addition visit:

https://brainly.com/question/25421984

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ASAP like now I need help

Answers

Bxbdhhdhdhdhdhdhdhhd


An atom of a certain element has 37 protons, 37 electrons, and a mass number of 85. How many neutrons are
in this atom?

Answers

Answer:

There will be 48 neutrons.

Step-by-step explanation:

Hope this helps and have a great day :)

There will be 48 neutrons in this atom.

What is mass number?

The mass number of an element is the number obtained when the number of protons and neutrons in the nucleus of an atom of the element are summed together.

The addition of protons and neutrons in the nucleus of an atom is collectively known as the nucleon. Thus, the mass number of an atom can also be referred to as the nucleon of the atom.

This can be mathematically expressed as follows;

Mass number = number of protons + number of neutrons.

We are given that atom of a certain element has 37 protons, 37 electrons, and a mass number of 85.

So,

Mass number = number of protons + number of neutrons.

85 = 37 + n

n = 85 - 37

n = 48

More on mass number can be found here: brainly.com/question/4408975

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Triangle abc gets translated and reflected prove its congruent to a"b'c"


A. AA postulate

B. HL Postulate

C.ASA throem

D.SSA Theroem

Answers

Answer: the answer is b

Step-by-step explanation: since i helped can i have brainlist please it would be greatly apperacited.  :D

You have completed 35% of your workout. Your workout is 35 minutes long. How much time do you have left?

Answers

Answer:

You have 12.25 minutes left to workout.

Step-by-step explanation:

the top comment is correct

in long division 42 divided by 966

Answers

i think you meant 42 divided by 966 but if it true, then its 1/23 in exact form but in decimal, its 0.04347826 ...

hope this helps :)

Matthew drives at an average speed of 62mph for 5 hours how many miles does matthew drive?

Answers

Answer:

He drove 310 miles per hour

Step-by-step explanation:

So this means that in one hour he drives 62 miles

to find how much in five hours multiply 5 by 62

5x62=310miles

Answer:52

Step-by-step explanation:

.BAKSHWOSJASHAIAJHSUAISHA

Answers

i agree with this statement completely sign me up

Fantastic I love it great question!

help me out? please !

Answers

Answer:

trapezoid

Step-by-step explanation:

HELP ASAP
6+ x - y + 10=

Answers

Answer:

x-y+16

Step-by-step explanation:

add the like terms, 6 and 10 which is 16. since the variables are not like terms, thats your final answer. hope it helped :)

y = 2x+3
2x + 5y = 3
SOLVE using substitution please show work !

Answers

Answer:

x= -1

Step-by-step explanation:

2x + 5 (2x+3) =3
2x + 10x + 15 = 3
12x + 15=3
12x=-12
x=-1
y=1

In the diagram below, AB and BC are tangent to O. What is the measure of
AC?

Answers

Answer: D. 112°

Step-by-step explanation: Just answered it...

The measure of arc AC, if The line segment AB and BC are the tangents drawn to the circle, and The measure of angle CBA, ∠ CBA = 68°, is 112°, so option D is correct.

What is circle?

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).

Given:

The line segment AB and BC are the tangents drawn to the circle,

The measure of angle CBA, ∠ CBA = 68°,

The measure of the major arc, AC = 248°,

Calculate the measure of the minor arc as shown below,

∠ CBA = Major arc - minor arc / 2   (Tangent circle theorem)

68 = 248 - AC / 2

68  × 2 = 248 - AC
136 = 248 - AC

AC = 248 - 136

AC = 112°

Thus, the measure of arc AC is 112°

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Please help me I need it!!!!

Answers

Answer:

d

Step-by-step explanation:

because it starts off under the water which is -24 then you add a positive 24 to get to sea level

Answer:

the distance above sea level after increasing  24 meters from a depth of 24 meters below sea level

Step-by-step explanation:

equation- -24m + 24m = 0

the answer to the first one is -10 (-5 - 5 - -10)

the answer to the second one is 1,000 (0 + 1,000 = 1,000)

the answer to the third one is 10 ( 20 - 10 = 10)

the answer to the fourth one is 0 (-24 + 24 = 0)

Find x and y so that the quadrilateral is a parallelogram.

Answers

Answer:

Result:

The value of x = 12The value of y = 21

Step-by-step explanation:

Given

The parallelogram DEFG

DE = 6x-12

FG = 2x+36

EF = 4y

DG = 6y-42

We know that the opposite sides of a parallelogram are equal.  

As DE and FG are opposite sides, so

DE = FG

substituting DE = 6x-12 and FG = 2x+36 in the equation

6x-12 = 2x+36

6x-2x = 36+12

simplifying

4x = 48

dividing both sides by 4

4x/4 = 48/4

x = 12

Therefore,

The value of x = 12

Also, EF and DG are opposite sides, so

EF = DG

substituting EF = 4y and DG = 6y-42 in the equation

4y = 6y-42

switching sides

6y-42 = 4y

6y-4y = 42

2y = 42

dividing both sides by 2

2y/2 = 42/2

y = 21

Therefore,

The value of y = 21

Result:

The value of x = 12The value of y = 21

what is the answer to −9p − 6 = −141

Answers

Answer:

p = 15  

Hope this helps

Step-by-step explanation:

p=15 is what i got, good luck!!

1V1 ME FOR A YOU TUBE VID NAME IS QT ZIHMIR YT

Answers

Answer:

OMG

Step-by-step explanation:

qt zihmir yt

Answer:

thanks for the points I maybe check your yt.

Step-by-step explanation:

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equation. Point: (5,4) Equation: y = 2/5x - 2​

Answers

Answer:

y = (2/5)x + 2

Step-by-step explanation:

The given equation y = (2/5)x - 2​ is already in slope-intercept form.  The equation of the new line has precisely that form, except that the constant is different.  To find the new constant (which is the y-intercept), replace x with 5 and y with 4 in y = (2/5)x + C:

4 = (2/5)(5) + C, or

4 = 2 + C.  Therefore, C = 2 and the equation of the new line is y = (2/5)x + 2.

8 (n + 2) = __n + __

Answers

Answer:

The blanks are 8 and 16

Step-by-step explanation:

Distribute the 8:

8(n + 2) = 8*n + 8*2 = 8n + 16

In order to get the answer your gonna need to expand the equation.

8 (n + 2)

8 x n + 8 x 2

= 8n + 16

If answered correctly, I will give brainliest and 30 points. i also need this asap.
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):

A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.

Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)

Part B: Solve for k in each type of transformation. (4 points)

Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Answers

Answer:

First, let's find the equations for our lines:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

f(x) passes through (5,0) and (10, 10), then the slope is:

a = (10 - 0)/(10 - 5) = 10/5 = 2.

then we have:

y = 2*x + b

And when x = 5, we have y = 0.

0 = 2*5 + b

0 = 10 + b

b = -10

Then the equation for f(x) is:

y = f(x) = 2*x - 10.

Now for g(x) we have the points:

(3, 0) and (2, 10)

a = (10 - 0)/(2 - 3) = -10

y = -10*x + b

0 = -10*3 + b

b = 30.

y = g(x) = -10*x + 30.

A) Ok, the transformations:

Transformation 1 or T1.

f(x) = 2*x - 10

g(x) = -10*x + 30.

Then, we start with f(x):

First, we can move f(x) up 4 units and get:

f'(x) = 2*X - 6

Now we can dilate f(x) with a scale factor of -5 from the origin, now we get:

f''(x) = -5*f'(x) = -10*x + 30.

And this is g(x).

Transformation 2 or T2.

Move f(x) up 10 units, so now we have:

f'(x) = 2*x

Do a reflection over the x-axis, so the sign of y changes, and now we get:

f''(x) = -2*x

Do a dilation of scale factor 5

f'''(x) = 5*-2*x = -10*x

Now do a vertical translation of 30 units up.

f''''(x) = -10*x + 30 = g(x).

These are two transformations that start with f(x) and end with g(x).

B) Ok, as i was writting the transformations i already solved them, so this part is already done.

C) the equation for the transformations are:

T1) g(x) = -5*(f(x) + 4)

T2) g(x) =  -(f(x) + 10)*5 + 30

hmm can’t see the questions

What is the relationship between DG and FG?
Math

Answers

Ans: DG is perpendicular to FG. OC DG Intersects FG to form an acute angle. ODDO intersects FG to form an obtuse angle.

The length of a rectangle is one more than twice its width. If its perimeter is 20 inches, what is its length and width?

Answers

Answer:

Let length be L

Width be W

L=1+2W

Perimeter(p) of rectangle is

P=2L+2W

But L = 1+ 2W and p= 20

:. 20 =2(1+2W) +2W

20=2+4W+2W

18=6W

Divide both sides by 6

W =3

2W+1=L

6+1=L

L=7

Hence, length and width are 7in and 3in respectively

Step-by-step explanation:

Answer ASAP this practice is due tomorrow

Answers

Answer:

i think it's Z = 8,4

I'm not sure

[tex]y/8=5[/tex]what is "y' in y/8=5

Answers

Answer:

Y=40

Step-by-step explanation:

Y/8=5

(Y/8)*(8)=(5)*(8)

Y=40

HELLLLLLLLLLLLLLLLLLLLLLLLLLLP​

Answers

Answer:

C

Step-by-step explanation:

x axis is the horizontal line, so count positive 6, not negative, from there. Then go 3 upwards since its positive 3 :)

c if you follow the 6 along the line that has the x , and go up three you will land on C . (6,3) the first one is always x , the second is alway Y (X,Y) remover that the line honing across is x and the line going up and down is Y. they are usually labeled

Round 154.98 to the nearest 10th

Answers

154.98 rounding off is 155. But to the nearest tenth is 150

Answer: 155

Step-by-step explanation:

To round 154.98 to the nearest tenth, remember that in the hundredths place is 8 and is more than 5. Therefore, the tenths value of 154.98 increases by 1 to 0.

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