Quadrilateral W X Y Z is shown. Diagonals are drawn from point W to point Y and from point Z to point X and intersect at point C. Line segments Z C and C X are congruent. The length of W C is 2 x + 5 and the length of C Y is 3 x + 2. In quadrilateral WXYZ, WC = 2x + 5 and CY = 3x + 2. What must x equal for quadrilateral WXYZ to be a parallelogram? x =

Answers

Answer 1

The value of x must be 3, for quadrilateral WXYZ to be a parallelogram

The given parameters are:

[tex]\mathbf{CY = 3x + 2}[/tex]

[tex]\mathbf{WC = 2x + 5}[/tex]

From the question, we understand that:

Segments ZC and CX are congruent

This means that:

Segments WC and CY are congruent

So, we have:

[tex]\mathbf{WC = CY}[/tex]

This gives

[tex]\mathbf{3x +2 = 2x + 5}[/tex]

Collect like terms

[tex]\mathbf{3x + 2x =-2 + 5}[/tex]

[tex]\mathbf{x =3}[/tex]

Hence, the value of x must be 3, for quadrilateral WXYZ to be a parallelogram

Read more about parallelograms at:

https://brainly.com/question/888539

Answer 2

Answer:

Its 3

Step-by-step explanation:

Have a good day


Related Questions

A radio station is offering a promotion for a concert. Every 6th caller will receive a T-shirt and every 10th caller will receive a free concert ticket. Which caller will be the first to receive both a T-shirt and a free concert ticket?

Answers

The 30th caller I don’t have anything else to say but my answer has to be longer to send that’s all hopes this helps :)

7
77 watermelons cost
$
8.96
$8.96dollar sign, 8, point, 96.
Which equation would help determine the cost of
5
55 watermelons?

Answers

Answer:

A

Step-by-step explanation:

7=8.96

5=??

(5×8.96)÷7= 6.4

which is shown by A

HURRY PLEASE HELP ME!!!This graph shows a bicyclist moving at a constant rate. Write and equation for bicycle rider A.

Answers

Answer:

y= 30x

tep-by-step explanation:

The answer is y=30x hope this helps

Find f(4) if f(x)=−3x2+11x+37

Answers

Hi there!

[tex]\large\boxed{f(4) = 33}[/tex]

f(x) = -3x² + 11x + 37

Substitute in 4 for x to find f(4):

f(4) = -3(4)² + 11(4) + 37

f(4) = -3(16) + 44 + 37

f(4) = -48 + 44 + 37

f(4) = 33

f(4) = -3(4)^2 + 11(4) + 37
-3(16) + 44 + 37 = -48 + 44 + 37
f(4) = 33

For which equations is the solution for x the same number?
i. 15 - X = -3
ii. x/2 + 6 = 15
iii. -1/3x - 5.7 = 0.3
O A. i and ii
O B. i and iii
O C. ii and iii
O D. i, ii and iii
O E. none of the questions

Answers

Answer:

A. i and ii

Step-by-step explanation:

i) 15 - x = -3

x=18

ii) x/2 + 6 = 15

x/2 = 9

x= 18

iii) -1/3x -5.7 = 0.3

-1/3x = 6

x = -18

HELP PLEASE
in order!!!

Answers

Answer:

m<6=54 m<4=126

Step-by-step explanation:


Last month, Juan ate 6 apples, 7 bananas, 4 peaches, and
5 oranges. Write the ratio of Peaches to the total number
of pieces of fruit Juan ate last month as a fraction in
simplest form.

Answers

Answer:

4/18

Step-by-step explanation:

Solve the following inequality for g. Write your answer in simplest form.
-5-3(5g-4)≥2g+6-10

Answers

Answer:

[tex]g\leq \frac{11}{17}[/tex]

Step-by-step explanation:

[tex]-5-3(5g-4)\geq 2g+6-10\\-5+(-15g+12)\geq 2g-4\\-5+(-15g)+12\geq 2g-4\\7-15g\geq 2g-4\\7\geq 17g-4\\3\geq 17g\\\frac{11}{17} \geq g\\g\leq \frac{11}{17}[/tex]

The value of g in the given inequality -5-3(5g-4) ≥ 2g+6-10 is equal to or less than 11/17, g ≤ 11 / 17

What is an inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is an inequality -5-3(5g-4) ≥ 2g+6-10

Solving for g,

-5-3(5g-4) ≥ 2g+6-10

-5-15g+12 ≥ 2g+6-10

-15g+7 ≥ 2g-4

7 ≥  17g -4

11  ≥ 17g

11 / 17  ≥ g

g ≤ 11 / 17

Hence, the value of g is equal to or less than 11/17, g ≤ 11 / 17

Learn more about inequality, click;

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5) y=-2
4x – 3y = 18
This

Answers

Answer:

x=3

Step-by-step explanation:

if y is -2, 3*-2 =-6, 4x-(-6) = 4x+6=18

18-6=12

12/4=3

x=3 I hope you learned something

qual é 33⅓% de 108?​

Answers

0.333 x 108 = 35.96
= 36 (esta é a resposta final, eu não sei se você realmente precisa dela)

I participated in a math competition but I did not do very good. Does anybody have some tips?

Answers

Study 5 times on the subject you are focusing on.

PLEASEEEE HELPPPPPP WIll add extra pointtss

Answers

Answer is x = 4
Explanation :-

As B is midpoint of SR :- SB = BR and if. SR = 6x then SB = 3x
AC parallel SR ( MID POINT THEOREM )
Hence AC parallel SB
Similarly , AB parallel CS (MID POINT THEOREM)
So ABCS is a parallelogram
And we know that in parallelogram opposite sides are equal so AC = SB
So now we have AC = 5x - 8 and SB = 3x
So, 5x - 8 = 3x
5x - 3x = 8
2x = 8
x = 4

help me ill give branilyest

At store A, 3 pounds of apples cost $12.
At store B, the cost is given by y = 2x where y is the cost in dollars and x is the number of pounds of apples.
The cost of apples at store C is shown in the graph.

Answer the questions to find out which store's apples are the least expensive.

1. What is the unit price of apples at store A? Explain how you found this unit price.


Write your answer in the space below.















2. What is the unit price of apples at store B? How did you use the equation to find the unit price?


Write your answer in the space below.















3. What is the unit price of apples at store C? How did you use the graph to find the unit price?


Write your answer in the space below.















4. Which store has the lowest unit price for apples?


Write your answer in the space below.

Answers

Answer:

The unit price is the cost per unit of an item or the cost/price for each item.

1) 4$ per pound. By simplifying the proportion (constant ratio) between the cost, and the pounds of apples. 3 pounds of apples cost 12$ → 3/3 pounds of apples cost 12/3$ → 4 dollars for every pound.

2) 2$ per pound. By evaluating the rate of change (change in the y over x or dependent variable over independent) in the equation: y = 2x. y is the cost in dollars, and x is the pounds of apples. So there are 2 pounds (weight) of apples for every dollar.

3) 3$ per pound. Given a graph with a y scaled by 3, and an x scaled by 1 with a graph y = x or 1 unit up for every unit right. This must be equivalent to y = 3x. Where y is labeled as the cost in dollars, and x as the weight in pounds. So there are 3 dollars for every pound of apples.

4) Store B. Because 2 is less than 3 which is less than 4.

Which answer choice shows 12.444 rounded to the nearest half?
A. 11
B. 11.5
C. 12
D. 12.5

Answers

Answer:

C. 12

Step-by-step explanation:

Remember 0 to 4 turn it back

5 or above give it a shove.

Since 12.444 is around 0 to 4.

We can round that to 12.

Answer:

C.12

Step-by-step explanation:

Rounding a number involves replacing the number with an approximation of the number that results in a shorter, simpler, or more explicit representation of said number based on specific rounding definitions. For example, if rounding the number 2.7 to the nearest integer, 2.7 would be rounded to 3.

Graph the linear equation x=4.

Answers

Here is your answer ⬇️

A linear equation has only more than one additional, that may be expressed as [tex]\bold{ax + by = c}[/tex], and the further discussion can be defined as follows:

In this, No factor has been raised the power which is greater than one or utilized as the denominator of a fraction.  When we discover pairs of values that satisfy a linear model and plot them on a coordinate grid, all the points fall on the same line.

Please find the attached file of the graph.

Learn more:

brainly.com/question/576841

what is y= (5x+7) (-2x+3) in standard form

Answers

Answer:

y = 10x^2 + x +21

Step-by-step explanation:

HELP PLEASEEEEEEE ASP!!
WILL GIVE BRAINLIEST ❤️

Find the slope of the line passing through the given
points using the slope formula. Describe the slope as
positive, negative, zero, or undefined.
(-7, -18) and (-7,-4)

Answers

Answer:

Step-by-step explanation:

Slope formula= rise over run, or y2-y1 over x2-x1

y2=-4 y1=-18 x2=-7 x1=-7

-4-(-18)/-7-(7)

-22/-14 negative

Answer:

7/11

Step-by-step explanation:

the slope is positive. tell me what happens

HELPPPPPPP ASAPPPPPP PLEASEEEE

Answers

I believe the answer is 70. Just ask if you want an explanation

70

f(-4)=5(2-3(-4)

f(-4)=10+60

f(-4)=70

What is the Zero of f ?

Answers

Answer:

(-1, 0)

Step-by-step explanation:

Ridah has a triangular garden with the sides 28m, 15m and 41m. She has planted rose and marigold plants in her garden. She used two-third of area of the garden for planting rose plants and the rest of the area for marigold. How much area has been used for planting marigold?

Answers

Answer:

Step-by-step explanation:

Simplify
2(x+7) 2x + 20
- 2 =
x+4
2x + 8

Answers

Answer:

x = 0

Step-by-step explanation:

2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing

2(x+7) would be 2x+14

4(2x+8) would be 8x+32

2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms

2x and 2x can be combined on the left side

x and 8x can be combined on the right side

4x + 14 + 20 - 2 = x + 8x + 32

4x + 32 = 9x + 32 you can now solve this equation

start by subtracting 4x on both sides

32 = 5x +32 now subtract 32 on both sides

0 = 5x so x = 0

Answer:

x = 0

2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing

2(x+7) would be 2x+14

4(2x+8) would be 8x+32

2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms

2x and 2x can be combined on the left side

x and 8x can be combined on the right side

4x + 14 + 20 - 2 = x + 8x + 32

4x + 32 = 9x + 32 you can now solve this equation

start by subtracting 4x on both sides

32 = 5x +32 now subtract 32 on both sides

0 = 5x so x = 0

I will give brainliest to the person who does this first

Answers

1. 8a+24

2. .12e

ill edit it when get the other answers

Brainiest? pls

5 to the 2 power
help

Answers

Answer:

25

Step-by-step explanation:

5²=25

Answer:

25

Step-by-step explanation:

it is like 5 times 5

Hi... can you tell me is this formula is right or wrong?? ​

Answers

Answer:

this formula is right

Madhu bought a washing machine for Rs 13,000. He then sold it for Rs 15,000. He also paid Rs 300 to arrange the delivery of the washing machine at the buyer's house.
How much profit did Madhu make by selling the washing machine?

Answers

cost price=1300

selling price=1500

1500_1300=2000

madhu use 300 from his profit so

2000_300=1700

answer=1700

Just answer correctly to get brainleist and 10 pts! :)

Answers

Answer:

a.

Step-by-step explanation:

(2, 10) and (4, 10) have the same y value so it's not a function etc. etc.

Answer:

D. The relation represents y as a function of x, because each value of x is associated with a single value of y

Step-by-step explanation:

As long as no one x-value has two solutions, it can be considered a function. The x-values are {0, 2, 4, 6, 8}. Since there isn't any repetition, this can be considered as a function. The fact that 10 is repeated in the y-values doesn't affect that it is a function.

Please help me I will really appreciate it!!!

Answers

The answer is D

U would subtract a^2 then square both sides to isolate the variable

807 x 491


AND THEM ESTIMATE THE ANSWER

Answers

Answer:

396237 / Estimation would be 396000 I believe.

Step-by-step explanation

Answer:

396000

Step-by-step explanation:

PLEASEEE HELP!!!!!
Name the congruent triangles and justify the reason for congruence.
AABC - AFDE by HL
AABC - AEDF by ASA
AABC - AFED by HL
AABC - AFED by ASA

Answers

Answer:

b

Step-by-step explanation:

i just took the test

The solution is, ΔABC ≅ ΔFDE by SAS congruence rule.

The correct option is (1).

What are congruent triangles?

Congruence is a phrase used frequently in mathematics to refer to a harmonious connection, comprehension, or correlation. A geometric figure is said to be congruent or to be in the relation of congruence if it is feasible to superimpose it on another so that their whole surfaces match. Two triangles are said to be congruent when two sides and their included angles in one triangle are equal to two sides and their included angles in the other.

here, we have,

As per the given data:

In ΔABC :

∠A = 63°

AC = 2.2

In ΔFED :

∠F = 63°

FE = 2.2

By using the distance formula, we can find AB and FD.

From the coordinates, as we can see in the diagram

FD = 2 units

Similarly,

AB = 2 units

Now from SAS congruence rule:

AB = FD (Both are 2 units)

∠A = ∠F (given)

AC = FE (given)

Hence, ΔABC ≅ ΔFDE by SAS congruence rule.

To learn more about congruent triangles, click:

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I WILL GIVE YOU BRAINLIEST!!!!!!
Which of the following is equivalent to –(–5.25)?


–5

5

5.25

–5.25

Answers

Step-by-step explanation:

The decimal number 5.25 is equal to the fraction 21/4.

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