ABCD is a parallelogram. Find the value of x, y, w, and z.

ABCD Is A Parallelogram. Find The Value Of X, Y, W, And Z.

Answers

Answer 1

Answer:

Summary:

The value of x = -14The value of y = 18The value of w = 14The value of z = 14

Step-by-step explanation:

Given

The parallelogram ABCDAD = x-28BC = 3xAB = 12CD = 2/3y

We know opposite sides of a parallelogram are equal.

Therefore,

AD = BC AB = CD

now subtitute AD = x-28 and BC = 3x in AD = BC

AD = BC

x-28 = 3x

switch sides

3x = x-28

subracting x from both sides

3x-x = x-28+x

2x = -28

divide both sides by 2

2x/2 = -28/2

x = -14

Therefore,

The value of x = -14

Now subtitute AB = 12 and CD = 2/3y in AB = CD

AB = CD

12 = 2/3y

switching sides

2/3y = 12

y = 3/2 × 12

y = 18

Therefore,

The value of y = 18

We also know that the opposite angles of a parallelogram are equal.

Therefore,

5w = 70°

divide both sides by 5

5w/5 = 70°/5

w = 14

Therefore,

The value of w = 14

We know that the sum of the measures of the adjacent angles of a parallelogram is 180°.

Here,

m∠B = 70°.

m∠A = (3w+2z)°

As m∠B is adjacent to m∠A.

so

m∠A + m∠B = 180°

so substituting m∠B = 70° and m∠A = (3w+2z)° in the equation

70° + (3w+2z)° =  180°

now substituting w = 14 in the equation

70° +  (3(14) + 2z)° = 180°

70° + (42+2z)° =  180°

70° + 42 + 2z = 180°

112 + 2z = 180°

2z = 180° - 112

2z = 68

divide both sides by 2

2z/z = 68/2

z = 34

Therefore,

The value of z = 14

Summary:

The value of x = -14The value of y = 18The value of w = 14The value of z = 14

Related Questions

Solve the inequality 3x-1 < 2x+5​

Answers

Answer:

x<6

Step-by-step explanation:

Solve for x

by simplifying both sides of the inequality, then isolating the variable.

Inequality Form:

x<6

Nine randomly selected customers at a local fast-food restaurant ordered meals having the following calorie counts: 975,520, 1560
.872, 1029,534,362,954, and 1019. Let y denote the calorie content of a meal ordered at this restaurant. Find the following sum.

Answers

Answer: 7825 calories

Step-by-step explanation:

Feom the question, we are told that the meals have the following calories content meals having the following calorie counts: 975,520, 1560

.872, 1029,534,362,954, and 1019.

The sum of the calories will be:

= 975 + 520 +1560 + 872 + 1029 + 534 + 362 + 954 + 1019.

= 7825 calories

If h = 12 units and r= 4 units, what is the volume of the cone shown above?
Use 3.14 for .
A.
12.56 cubic units
B.
50.24 cubic units
C.
200.96 cubic units
D. 602.88 cubic units

Answers

C because you have to multiply and estimate
C, 200.96 cubic units I’m pretty sure

Please help I don’t know what the answer is

Answers

Answer:

its C

Step-by-step explanation:

what two numbers can multiplied together and get 24 and those same two numbers get added to each other and get -4?

Answers

8x3 = 24..................

is (-2+x)-(3x-8) equivalent to -2x+4

Answers

Answer:

No solution

Step-by-step explanation:

There are no values of  x  that make the equation true.

Brainly pls?

Answer:

No, it's not equivalent to it.

Step-by-step explanation:

[tex]( - 2 + x) - (3x - 8) = - 2 + x - 3x + 8 \\ = 6 - 2x = - 2x + 6[/tex]

please help, I'm really struggling to get my homework done

Identify the asymptotes, domain, and range
f(x)=-1/x+4

Just do number 2 at the least, if you want to do more ill give brainliest

Answers

Domain is -1 and the range is 4.

1.

[tex]f(x)=\dfrac1{x-1}=\dfrac1{x-1}+0[/tex]

x-1 = 0  for  x = 1

so:

Vertical asymptote: x = 1

Domain:  Dom f = R\{1}  {or: Dom f = (-∞, 1)∪(1, ∞)}

Horizontal asymptote:  y = 0

Range:    Ran f=R\{0}  {or: Ran f = (-∞, 0)∪(0, ∞)}

2.

[tex]f(x)=\dfrac{-1}{x}+4=\dfrac{-1}{x-0}+4[/tex]

x-0 = 0  for  x = 0

so:

Vertical asymptote: x = 0

Domain:  Dom f = R\{0}  {or: Dom f = (-∞, 0)∪(0, ∞)}

Horizontal asymptote:  y = 4

Range:    Ran f=R\{4}  {or: Ran f = (-∞, 4)∪(4, ∞)}

3.

[tex]f(x)=\dfrac{1}{x+3}-3[/tex]

x+3 = 0  for  x = -3

so:

Vertical asymptote: x = -3

Domain:  Dom f = R\{-3}  {or: Dom f = (-∞, -3)∪(-3, ∞)}

Horizontal asymptote:  y = -3

Range:    Ran f=R\{-3}  {or: Ran f = (-∞, -3)∪(-3, ∞)}

4.

[tex]f(x)=\dfrac{-1}{x+5}-6[/tex]

x+5 = 0  for  x = -5

so:

Vertical asymptote: x = -5

Domain:  Dom f = R\{-5}  {or: Dom f = (-∞, -5)∪(-5, ∞)}

Horizontal asymptote:  y = -6

Range:    Ran f=R\{-6}  {or: Ran f = (-∞, -6)∪(-6, ∞)}

4.

[tex]f(x)=\dfrac{-1}{x+1}+3[/tex]

x+1 = 0  for  x = -1

so:

Vertical asymptote: x = -1

Domain:  Dom f = R\{-1}  {or: Dom f = (-∞, -1)∪(-1, ∞)}

Horizontal asymptote:  y = -6

Range:    Ran f=R\{3}  {or: Ran f = (-∞, 3)∪(3, ∞)}

5.

[tex]f(x)=\dfrac{1}{x+4}-2[/tex]

x+4 = 0  for  x = -4

so:

Vertical asymptote: x = -4

Domain:  Dom f = R\{-4}  {or: Dom f = (-∞, -4)∪(-4, ∞)}

Horizontal asymptote:  y = -2

Range:    Ran f=R\{-2}  {or: Ran f = (-∞, -2)∪(-2, ∞)}

simplify. enter the answer in the box. PLEASE I NEED IT ASAP

Answers

Answer:

21√7

Step-by-step explanation:

What is the value of this function when x = 9?

Please help!

Answers

Answer:

Undefined

Step-by-step explanation:

If x = 9, then.......

[tex]f(x) = \frac{x^{2} + 9x + 20}{x^{2} - 4x - 45} = \frac{9^{2} + 9(9) + 20}{9^{2} - 4(9) - 45} = \frac{182}{0}=[/tex] Undefined

What is 1 3/8 as an improper fraction ?

Answers

Answer: 11/8

Step-by-step explanation:

1. Multiply the whole number by the denominator: 8•1=8

2. Add the numerator to the sum of the whole number and denominator: 8+3=11

3. Put the original denominator as the denominator, again: 11/8

hope this helps a bit lol

–15 = a/5
A. a = –3
B. a = –20
C. a = –10
D. a = –75

Answers

Answer: a = -75

Step-by-step explanation:

i just multiplied both sides by 5, in order to get "a" by itself.

-75 = a

then, just for kicks, we switch it around so that the variable is in front.

a = -75

HEEEEEEEEEEELPPPPPPPPP PLEASEEEEEEE URGENT 15 POINTS+ MORE

Answers

Answer:

y - 70, x - 73 should be the answer

Step-by-step explanation:

Solve the following multi-step equation: 4(2 - 4x) - 3x = 65

Answers

Answer:

x = -3

Step-by-step explanation:

4(2 - 4x) - 3x = 65

Distribute the 4.

8 - 16x - 3x = 65

Combine like terms.

8 - 19x = 65

-19x = 57

Divide by -19 to isolate x.

x = 57/-19

x = -3

Check.

4(2 - 4(-3)) - 3(-3) = 65

4(2 - (-12) + 9 = 65

4(14) + 9 = 65

56 + 9 = 65

65 = 65

The solution of the given linear equation 4(2 - 4x) - 3x = 65 is  -3.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable.

The solution of the equation 4(2 - 4x) - 3x = 65 is calculated as:

4(2 - 4x) - 3x = 65

Multiply the expressions inside the brackets,

8 - 16x -3x = 65

8 - 19x = 65

Subtract 8 from both the sides,

-19x = 65- 8

-19x = 53

Divide both side by -19

[tex]x = \dfrac{-53}{19}[/tex]

Thus, the value of x is -3.

Learn more about equations here:

https://brainly.com/question/14686792

#SPJ6

4. The money in Mrs. Finch’s savings account is earning 1.45% interest. Which number below is greater than 1.45%
A) 0.009
B) 0.019
C) 0.0032
D) 0.0117

Answers

B) 0.019

0.019 = 1.9%

which of the answers are correct? there is possibly more than one.

Answers

Answer:

[tex]b_2 = \frac{2A}{h} -b_1[/tex]

Step-by-step explanation:

Given

[tex]A = \frac{1}{2}h(b_1 + b_2)[/tex]

Required

Select equivalent expressions

Multiply through by 2

[tex]2*A = 2*\frac{1}{2}h(b_1 + b_2)[/tex]

[tex]2*A = h(b_1 + b_2)[/tex]

[tex]2A = h(b_1 + b_2)[/tex]

Divide through by h

[tex]\frac{2A}{h} = \frac{h(b_1 + b_2)}{h}[/tex]

[tex]\frac{2A}{h} = b_1 + b_2[/tex]

Subtract b1 from both sides

[tex]\frac{2A}{h} -b_1= -b_1 + b_1 + b_2[/tex]

[tex]\frac{2A}{h} -b_1= b_2[/tex]

[tex]b_2 = \frac{2A}{h} -b_1[/tex]

From the list of options, there is only one answer

Shannon bought 518 pounds of apples. Bill bought 278pounds of apples. Which most closely estimates how many more pounds of apples Shannon bought than Bill?

Answers

Answer:

240 pounds.

Step-by-step explanation:

Given that,

Shannon bought 518 pounds of apples.

Bill bought 278 pounds of apples.

We need to find how many more pounds of apples Shannon bought than Bill.

More Apples = Shannon Apples - Bill Apples

= 518 - 278

= 240

Hence, 240 pounds of apples Shannon bought than Bill.

Find the unknown sides and angles of this triangle using the Law of Cosines.
Round to the nearest hundredth.
Now, I know side C is 10.35, but I couldn't get the angles for A or B. I'm uncertain if this is a bug or what, but could someone help me out? I'd appreciate a well written explanation as well.

Answers

Answer:

side c-10.35 Angle a-50.88 Angle B-94.12

Step-by-step explanation:

I found the answers on a khan academy thing. I just took the quiz and got a 100%

Plllllllllllllllllllllllzzzzzzzzzzzz help me out I’m confused 25 points

Answers

Answer:

0+2+-4=-2

Step-by-step explanation:

0+2-4=-2

Step by step explanation :
I believe this is right sorry if i’m wrong

h + 13.4 = -13.4

h = ?

Answers

I think it is -26.8

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].

In South Korea there are 21 280 000 licensed vehicles on the road. Of these,
16 486 000 are private cars. What percentage of the licensed vehicles are private cars?

Answers

16 486 000/21 280 000

8243/10640

X100

77.47

77.5

Answer:

You got the answer from the other person

Step-by-step explanation:

-X + 5 = 1
What is the answer for this equation and the steps

Answers

Answer:

x=4

Step-by-step explanation:

-x=1-5 (subtract 5 from both sides to isolate the x variable)

-x= -4 (1-5= -4)

x=4  (divide both sides by -1 so the x will not be a negative.)

Therefore, your answer will be x=4. Hope this helps! :)

Answer:

4

Step-by-step explanation:

First, let's move "+5" on the other side. We should change "+" on "-":

-x=1-5

1-5=-4:

-x=-4 |• (-1)

x=4

What is the measure, in degrees, of

PLEASE HELP

Answers

Answer:

58 degrees

Step-by-step explanation:

Complementary angles add together to 90 degrees

(5x + 8) + (3x + 2) = 90

8x + 10 = 90

x = 10

5(10) + 8 = 58

Solve the following system of equations:
y = 2x +1
y=-x+ 4

x=?
y=?​

Answers

Answer:

x = 1, y = 3

Step-by-step explanation:

Given the 2 equations

y = 2x + 1 → (1)

y = - x + 4 → (2)

Substitute y = 2x + 1 into (2)

2x + 1 = - x + 4 ( add x to both sides )

3x + 1 = 4 ( subtract 1 from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into (1) and evaluate for y

y = 2(1) + 1 = 2 + 1 = 3

Then solution is x = 1, y = 3

I need the answer plz so I dont fail

Answers

Answer:

Whats the problem?  it wont show for me...

Step-by-step explanation:

i will awnser, just gotta give me the problem

Does anybody know answer to this plsssss

Answers

9514 1404 393

Answer:

  (a)  4(2x^5 +x^2 -3)

Step-by-step explanation:

The only common factor is 4. That factor must be removed from every term to find the expression that goes inside parentheses.

  8x^5 +4x -12 = 4(2x^4 +x -3)



A train moves at a constant speed. The train travels 13 miles in 1/6hour What is the train's speed in miles per hour

Answers

Answer:

I think the answer is 78.

Answer:

Answer is 2

Step-by-step explanation:

Because The other answers dont punctuation and answer 2 explains as the president

can someone tell me what circumference means and give an example of it

Answers

Step-by-step explanation:

distance around a circle- like middle of an apple

Answer:

The circumference is defined as the distance around something round or rounded, especially the distance around the edge of a circle. An example of circumference is the distance around the outer boundary of a circle. The line bounding a circle, a rounded surface, or an area suggesting a circle.

The slope of line TV is 3/5. What is the slope of any line perpendicular to TV?
options:
5/3

−3/5

3/5

−5/3

Answers

Step by step explanation:

HELP PLEASE I ONLY HAVE 10 MINUTES LEFT I WILL MARK BRAINLIEST ANSWER
Which equation results from adding the equations in this system?
11x-3y=-17
-4x+3y=-18
A -7x= -35
B -7x= 35
C 7x= -35
D 7x= 35​

Answers

adding 11x and -4x makes it 7x

adding-3y and 3y cancels it out so your left with nothing

adding a negative and a negative keeps it a negative so its 18+17 making it -35

so the answer is C

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