Mathematics High School

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.

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

What is the value of x?

Answers

(X + 5)(x + 4) = (x + 12)(x + 1)
x^2 + 9x + 20 = x^2 + 13x + 12
4x = 8
x = 2

x = 2

Write a solution to the equation x? = 75 two
ways:
using exponents
using radicals

Answers

b because when you want to make an equation with x2 you need to use radicals

Quickkk please solve each system by graphing I just need the work not the graph

y = 3x + 2
6x - 2y = -4

Answers

Answer:

Infinite amount of solutions

General Formulas and Concepts:

Algebra I

Solving systems of equations by graphing

Step-by-step explanation:

Where the 2 lines intersect is the solution set to the systems of equations.

If the 2 lines are parallel, they have no solution.

If the 2 lines are the same, they have infinite amount of solutions.

Step-by-step explanation:

y=3x+2

when x=0

y=3(0)+2

y=2

(0,2)

when y=0

3x+2=0

3x=-2

x=+2/3

(-2/3,0)

6x-2y=-4

when x=0

6(0)-2y=-4

-2y=-4

y=2

(0,2)

when y=0

6x-2(0)=-4

6x=-4

x=-4/6

x=-2/3

(-2/3,0)

same line

Work out the area of a rectangle with base, b=38mm and perimate, P = 78mm

Answers

Answer:

741 mm squared

Step-by-step explanation:

area=base times height

perimeter= 78/4=

1 side=19.5mm

base=

38mm times 19.5=741mm squared

i hope i helped<3

Liam has 12 red balloons and 14 blue balloons.He put all of his balloons in 2 equal groups. How many balloons are in each group? A.13 B.14 C.26 D.52

Answers

Answer:

A.13

Step-by-step explanation:

You just have to add the 12 and the 14 and then divide it by 2.

12+14=26

26/2= 13

Hope it helps!

Answer:

56 i did the work

Step-by-step explanation:

how do I find the value of x in 6 / x + is equal to 9/3

Answers

Answer:

its 2

Step-by-step explanation:

9/3 = 3

6/x has to = 3

thus x= 2

6/2= 3

Helga invested $1000 at 5% interest, compounded annually. What is the total amount of interest that Helga will have earned by the end of the fourth year? Express your answer to the nearest dollar.

Answers

1000(1+5divided 1000)^4 = 1215.5

Answer:

1215

Step-by-step explanation:

1000(1+5divided 1000)^4 = 1215.5

nearest dollar is 1216

I NEED THE ANSWERS QUICK!!! PLEASE TELL ME ILL GIVE BRAINLIEST!!!!!!!!!!!!

Answers

Answer:

(3,-8) (2,-10)

Step-by-step explanation:

Graph and see where the points are, if they are in the solution, they are correct.

Please mark me brainlist and solve the question I just asked.

Have a good day :)

PARABOLA GRAPH MATH PROBLEM PLEASE HELP!!

Answers

Check where the checkpoints are in the graph

PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASE

Answers

Answer and Step-by-step explanation:(MAKE ME BRAINLIEST)

Austin Moore has been working in a factory for 28 years. He is preparing to retire. His pension is calculated on the average of his last 3 years’ salaries where he earned $48,592, $47,590, and $47,710. His employer will give him 1.8% of that average for each year he worked. Calculate his pension.

Answers

Answer:24,173.856

Step-by-step explanation: you calculate the average of the last 3 years then find 1.8% of that number and then multiple by 28 years to find his total pension

Answer:

★ The answer is 24,173.856

Step-by-step explanation:

Hope you have a great day

how i solve this one

Answers

Answer:

Look at explanation

Step-by-step explanation:

3x - y = 14

-3 -3

x=11

-------------------------------------------------

5x + 4y = 12

9xy=12

-9 -9

xy=3

x=1.5 y=1.5

--------------------------------------------------------

total= 14

Sorry if wrong btw

this answer is an answer because u want an answer so i’m giving you an answer

Question 1 (1 point)
A 30 foot ladder is leaned against a wall, and the base of the ladder is 2 feet from the
base of the wall. What is the angle of inclination of the ladder? (Round to the nearest
whole degree)

Answers

answer: 86°
explanation:
we can assume the ground makes a 90° angle with the wall. We can use primary trig ratios to determine the angle of inclination, which is between the ladder and the ground.
The hypotenuse is the length of the ladder, 30ft, and the adjacent side of our theta angle, (the angle we’re looking for) is 2ft.
Use the ratio Cosine and set up the equation
cosx = 2/30
cosx = 0.066667
x = 86°

PLZ HELP ASAP!!!Solve the inequality -20+6x>10

Answers

Answer:

x>5

Step-by-step explanation:

28
Which of the following translates the expression, "Twice a number
decreased by 8" correctly?
O 2x+8
O 8 + 2x
O 2X-8
8 - 2x

Answers

Answer:

I believe that the answer is 2x-8

How many terms are in the expression 4x + 9? *

Answers

2 terms. (4x) and (9). Terms are separated by addition or subtraction but not multiplication or division

I WILL GIVE YOU BRAINLIEST JUST PLEASE HELP ME WITH THIS PROBLEM

Answers

Answer:

answer

Step-by-step explanation:

yes!

.............

Answer:

yes

if it's helpful ❤❤❤

THANK YOU

I need help with this question

Answers

Answer:

So we have an original figure with a value of 50 and then a scaled version or dilation

Hence we have a scale factor of

[tex] \frac{1}{5} [/tex]

PLSS HELP WILL MARK BRAINLIEST!

Answers

Answer:

y = 5

Step-by-step explanation:

The triangle is an isosceles triangle, which means that it has two equal sides and two equal angles.

Therefore, angles B and C are both equal to 75°.

A triangle measures 180°.

75 + 75 + x = 180

150 + x = 180

x = 30°

Angle A has to equal 30°.

(4y + 10)° = 30

4y + 10 - 10 = 30 - 10

4y = 20

y = 5

Hope that helps.

Can anybody help me on this i don't get it

Answers

Answer:

the correct answer is A . because the in the division problem 2.53 is divided by 23 so in fraction form it will be like 2.53/23!!

Step-by-step explanation:

PLEASE HELP!!!I NEED IT

Answers

Answer:

10. y = 49, x = 15

11. y = 4, x = 61

Find the value of x

Answers

Answer:

x=52

Step-by-step explanation:

in the picture above

Answer:

x=54

if not i think its 52

Step-by-step explanation:

hope this helps!

have a good day :)

If m<IHF=75°, then what is m<EHK?

Answers

Simply here we can see ID is a straight line.

So, angle IHL + angle EHK = 180°

or, 75° + angle EHK = 180°

or, angle EHK= 105°

Hope it helps uh.

PLease answer Quickly ill mark you brainliest!

Answers

Answer:

x=1

Step-by-step explanation:

3x+6=9

3x=3

x=1

Answer:

X=1

Step-by-step explanation:

if you take away 6 from each sides it will leave you with 3 X's on the left and three 1's on the right. If the equation is equal then each X should match up with a 1. which makes each side equal to nine. Hope that helped :)))

Rewrite the quadratic function below in standard form y=3(x-8)(x-4)

Answers

Y=3(x^2-12x+32)
=3x^2-36x+96

A motorcycle tire with a radius of 16 inches rotates at a rate of 150 revolutions per minute (rpm).
a) Find the linear speed of the tire in inches per minute.
b) Find the angular speed of the tire in radians per minute.

Answers

Answer: (a)942.85 rad/s

(b) 15,085.71 inches per minute

Step-by-step explanation:

Given

the radius of tire r=16 inches

N=150 revolution per minute(rpm)

So, the angular speed of the tire [tex]\omega=2\pi N=2\times \frac{22}{7}\times 150=942.85\ rad/minute[/tex]

The linear speed of the tire [tex]v=\omega r[/tex]

[tex]v=\dfrac{6600}{7}\times 16=15,085.71\ \text{inches per minute}[/tex]

Mr Doyle mowed 2/7 of his lawn. His son mode 1/3 of it. Who made most of the lawn? How much of the lawn still needs to be mowed?

Answers

Answer:

His son mowed most of it and 8/21 of it still needs to be done.

Step-by-step explanation:

Trust me

Rate 5 stars mark as brainliest and press thancks plz!

Mindy is saving money. She started with $0. After 6 weeks, she had $90 saved.

Mindy is not sure exactly how much money she saved each week. She assumes that she saved money at a constant rate from when she started saving money through week 6

Answers

Explain: you divide 90 by 6 (the weeks)
Answer: She mad $15 each week

Solve 3x - 7 = 32
Plssss helpp

Answers

Answer:

x=13

Step-by-step explanation:

Move all terms that don't contain x to the right side and solve.

Brainly plss

Answer:

x=13

Step-by-step explanation:

whats 63/100-5/10? with an good 5th grade explanation

Answers

Answer: .13

Step-by-step explanation:

63/100=0.63

5/10=0.50

=.13

I took 63 and divided it by 100 to get .63 and took 5 and divided it by 10 to get .50 so I took them and subtracted them to get .13

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