K
(
28) cm
V
1 cm
M
Han
56x-5
1.5 cm
W
Given that figure JKLMNWWXYZ. Find the value of y

K(28) CmV1 CmMHan56x-51.5 CmWGiven That Figure JKLMNWWXYZ. Find The Value Of Y

Answers

Answer 1

Answer:

[tex] \boxed{\sf y = 6 \ cm} [/tex]

[tex] \boxed{\sf x = 25 \degree} [/tex]

Step-by-step explanation:

It is given that JKLMN [tex] \sim [/tex] VWXYZ

So, from this we can say that:

JK [tex] \sim [/tex] VW & ∠LMN [tex] \sim [/tex] ∠XYZ

i.e.

(2y - 8) cm = 4 cm & 4x° = 5(x - 5)°

Solving for y:

⇒2y - 8 = 4

Adding 8 to both sides:

⇒2y - 8 + 8 = 4 + 8

-8 + 8 = 0:

⇒2y = 4 + 8

4 + 8 = 12:

⇒2y = 12

Dividing both sides by 2:

⇒[tex] \sf \dfrac{2y}{2} = \dfrac{12}{2} [/tex]

[tex] \sf \dfrac{2}{2} = 1: [/tex]

⇒y = [tex] \sf \dfrac{12}{2} [/tex]

[tex] \sf \dfrac{12}{2} = 6: [/tex]

⇒y = 6 cm

Solving for x:

⇒4x° = 5(x - 5)°

Expanding right hand ride expression:

⇒4x° = 5x° - 25°

Adding 25° to both sides:

⇒4x° + 25° = 5x° - 25° + 25°

25° - 25° = 0°:

⇒4x° + 25° = 5x°

⇒5x° = 4x° + 25°

Substracting 4x° from both sides:

⇒5x° - 4x° = 4x° - 4x° + 25°

4x° - 4x° = 0°:

⇒5x° - 4x° = 25°

5x° - 4x° = x°:

⇒x° = 25°


Related Questions

7.2 times 1/9 I need help!

Answers

Answer:

8/10

Step-by-step explanation:

Step 1:

7 2/10 × 1/9

Step 2:

72/10 × 1/9

Answer:

8/10

Hope This Helps :)

7.2 times 1/9 is 0.8

What is fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Given:

7.2 times 1/9

=7.2* 1/9

=72/10* 1/9

=8/10

=0.8

Hence, 7.2 times 1/9 is 0.8

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ2

3(1 + 7r) + 7r <— please help! :)

Answers

Answer: 28r+3

Step-by-step explanation:

3(1+7r)+7r

distributive property

3+21r+7r

combine like terms

28r+3

Answer:

4r/7 is the answer 4r over 7

Please help me. 50 point question

Answers

Step-by-step explanation:

Hey there!!!!

Given,

Angle r and angle s are supplementary angle.

And angle r = 120°.

Now, we have,

supplementary angle's sum is always 180°.

So, angle r + angle s = 180°.

or, 120°+ angle s = 180°

Therefore the measure of angle s is 60°.

Hope it helps....

The question states that the angles are supplementary, meaning that both angles add up to 180. The prompt also says that angle r is 120°, this means that:

m
Plug in what you know:

120° + m
Subtract 120° from both sides:

120° + m-120° -120°

And you get:

m
Hope this helped!

Martina drove 792 miles in 11 hours.
At the same rate, how long would it take her to drive 504 miles?

Answers

Answer:

7 hours

Step-by-step explanation:

Her rate (speed) is

v = d/t = (792 miles) / (11 hrs) = 72 mph

To drive a distance D = 504 miles, it will take her a time T given by

T = D/v = (504 miles) / (72 mph) = 7 hours

x + 8 = 4
help me to doive this​

Answers

Answer:

-4

Step-by-step explanation:

thats the answer

Answer:

X= -4

Step-by-step explanation:

X+8=4 this is a one step equation first, you subtract 8 on both sides that gives you

x=-4

thats your answer

Joel reads 3 books each month as part of his book club. After belonging to the book club for 7 months, how many books will Joel have read in all?

Answers

Joel reads 21 books in the span of 7 months

Answer:21

Step-by-step explanation:

The equation would be 3x

X being months he was on the book club so x would be 7

3(7)=21

Please help i will mark you five stars and give you 20 points

Answers

That would be a reflection

Answer:

Reflection

Step-by-step explanation:

Solve using standard algorithm 57.03+2.08

Answers

Answer:

59.08

Step-by-step explanation:

Please I will mark brainlist list
Based on the patten in the table what is the value of a?
-64
-12
1/16
1/64

Answers

1/64. Because 2 raised to the -6 power is 1/64 and its in fraction form. It wouldn’t be -12 because you do Not multiply 2 and -6 together. It wouldn’t be -64 or 1/16 either.

I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!

All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson

Answers

Answer:

for a rectangle to be called a square with 4 sides must be equal

for rectangle to be called a square its four angles must be equal.

Answer:

all parallel sides are the same lengths

all angles are 90°

Step-by-step explanation:

We know that the square has the definition of an object or plane that has all the four sides of equal length,

And all the angles related to the sides are also same. (all angles are 90°)

Whereas, a rectangle gets defined as the plane figure with four straight sides and the same number of right angles where the two parallel sides become of equal length.

Solve for x.

[tex]3x - 5 = \frac{12 + 4x}{2} [/tex]

x = [?]​

Answers

Answer:

x= 11

Step-by-step explanation:

[tex]3x - 5 = \frac{12 + 4x}{2} [/tex]

Multiply both sides by 2:

2(3x -5)= 12 +4x

Expand:

2(3x) +2(-5)= 12 +4x

6x -10= 12 +4x

Bring all x terms to 1 side, constant to the other:

6x -4x= 10 +12

2x= 22

Divide by 2 on both sides:

x= 22 ÷2

x= 11

6x-10=12+4x
6x-4x=12+10
2x=22
X=11

Jennifer is saving money to buy a bike. The bike costs $294. She has $126 saved, and each week she adds
$14 to her savings.
How long will it take her to save enough money to buy the bike?
It will take her
weeks to save for the bike.

Answers

Answer:

the answer should be 12 weeks

Step-by-step explanation:

Because, 294-126=168 and 168 divided by 14 is 12

helpp mee pleaseee !

Answers

Answer:

Constant of proportionality, [tex]r = \frac{1}{10}[/tex]

what is the answer to -3x+5= -16

Answers

Answer: 7

Step-by-step explanation: First you subtract 5 from both sides to single out the -3x. Then you will have -3x = -21. You will then divide both sides by negative three because you want to single out the x. After that, you will have the answer of x = 7

Answer:

x = 7

Step-by-step explanation:

-3x+5=-16

    -5  -5

-3x=-21

-3x/3 = -21/-3

x=7

Is 6.56556555 a rational or irrational number

Answers

Answer:

yes

Step-by-step explanation:

if it is a terminating decimal(a decimal that ends) it will be rational

Answer:

rational

Step-by-step explanation:

because it is a decimal. idrk i just guessed but im pretty sure im right

Please look at the question and answer

Answers

Answer:

no . of items = 10

Position of mean = (n+1)/2

                            = 11/2 = 5.5th item

In the data 5.5 item is the average of 5th and 6th item

median = (x+2+x+4)/2

or 25= (2x+6)/2

or 50 = 2x +6

0r 2x = 44

x =22

Answer:

X=23

Step-by-step explanation:

11,13,15,19,_,_,30,39,46

The middle number is the first dash which is represented by x+2 which is equal to 25

25-2=23 which is x

Dash 2 which is represented by x+4 is equal to 23+4=27

What is the sum of the arithmetic sequence 3, 9, 15 …, if there are 34 terms?

Answers

Lets subtract 3 from each term we get 0,6...

Now we have muplitles of 6

6*0

6*1

Now we can find last number whcich is 6*33=198

now use formula to find sum

3(2x - 4) + (3x + 1) = 5x + 21 -(x +1)

Answers

Answer:

x=6.2

Step-by-step explanation:

3(2x - 4) + (3x + 1) = 5x + 21 -(x +1)

6x-12+3x+1=5x+21-x-1

combine like terms:

9x-11=4x+20

move variables to same side by sub 4x and add 11

5x=31

x=6.2

Given: 2x + 3y = 6. When x has a value of zero, the y value is 2.
True
False

Answers

Answer:

True

Step-by-step explanation:

2x+3y=6

2(0)+3y=6

0+3y=6

3y=6

y=2

show the work on how to answer -3|x|=-24

Answers

Answer:

x=8  x=-8

Step-by-step explanation:

-3|x|=-24

Divide each side by -3

-3|x|/-3=-24/-3

|x|=8

There are 2 solutions a positive and a negative

x=8  x=-8

Isolate the variable by dividing each side by factors that don’t contain the variable
x=8,-8

Find the measure of angle XAZ in the figure below.

Answers

Answer:

m∠XAZ = 40°

Step-by-step explanation:

Since ∠YAU, ∠YAZ and ∠XAZ are the angles based at a point on a straight line, and the sum of the all angles on a line is 180°.

Therefore, m∠YAU + m∠YAZ + m∠XAZ = 180°

50° + 90° + m∠XAZ = 180°

m∠XAZ = 180° - 140°

             = 40°

Therefore, measure of angle XAZ is 40°.

Solve the inequality
2(4+2x)≥5x+5

Answers

Answer:

x ≤ 3

x ∈ [ 3 ; +oo )

Step-by-step explanation:

2(4 + 2x) ≥ 5x + 5

8 + 4x ≥ 5x + 5

8 - 5 ≥ 5x - 4x

3 ≥ x

x ≤ 3

x ∈ [ 3 ; +oo )

5 (n - 14) =2 (n + 14)​

Answers

Answer:

n= 98/3

Step-by-step explanation:

1. Complete distributive property *5(n-14)* and *2(n+14)*

5n-70=2n+28

2. Subtract 5n from both sides

-70=-3n+28

3. Subtract -70 from both sides

-98=-3n

4. Divide the variable from both sides *-3n*

-98/-3

5. Simplify

98/3

Final Answer:

98/3

Help me with this please

Answers

R’(4,-5)
S’(4,-6)
T’(3,-4)

-6(2)divided by (-3)

Answers

Answer:

4

Step-by-step explanation:

Following PEMDAS order:

-6*2=-12

-12/-3=4

Answer:

-6(2)(-3)

-3+2

-5

Step-by-step explanation:

Somebody plz answer this correct!!
Grade 4math
(Mark as brainliest if correct)

Answers

It would be an approximate answer because you don’t know how long it would actually take to do that task

I mean, it depends how long it will take you to shovel the snow please add more context if I read this wrong below!

(Mark as Brainliest Please)

Step-by-step explanation:

what is the distance between (7, -2) and (3,1) pls help fast

Answers

Answer:

it would be 5

Step-by-step explanation:

Stephanie's age is 3 years greater than half of her sister's current age. If her sister is 24 years old, what is Stephanie's age?​

Answers

Answer: Stephanie is 15

Step-by-step explanation:

because you can do 24 divided by 2 which equals 12 then add three to 12 and you get 15.

you're welcome! plz lmk if i'm wrong XD

Stephanie's age is 3 years greater than half of her sister's current age. If her sister is 24 years old, then Stephanie's age is 15 years.

To find Stephanie's age, we need to follow the given information that her age is 3 years greater than half of her sister's current age.

First, we find half of her sister's age: Half of 24 = 24 / 2 = 12

Next, we add 3 years to half of her sister's age: 12 + 3 = 15

Therefore, Stephanie's age is 15 years.

Age can be used in mathematical equations and word problems to solve for unknowns or to establish relationships between different quantities. For example, age-related math problems might involve scenarios such as Finding someone's age given their birth year and the current year,  Calculating the average age of a group of people and Determining the age difference between two individuals based on their birth years.

Learn more about Age here:

https://brainly.com/question/28480994

#SPJ2

what is the answer to -9 x (-9) x (-9)

Answers

[tex]\text {Hey! Let's Solve this Problem!}[/tex]

[tex]\text {We Know That: Multiply a Negative to a Negative will Equal a Positive.}[/tex]

[tex]\text {We Also Know: Multiply a Positive to a Negative will Equal a Negative.}[/tex]

[tex]\text {Multiply:}[/tex]

[tex]\text {-9*-9=81}[/tex]

[tex]\text {Multiply:}[/tex]

[tex]\text {81*-9=}[/tex]

[tex]\text {Your Answer would be:}[/tex]

[tex]\fbox {-729}[/tex]

[tex]\text {Best of Luck!}[/tex]

4(1 - 4r) + 5(r - 7)

Answers

Answer -11r - 31

First you have to multiply the 4 to the numbers on parenthesis and also the 5 to the numbers of parenthesis.

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