Find the value of x and y given that p//q. Type answers alphabetically, and separate by a comma and a space

Find The Value Of X And Y Given That P//q. Type Answers Alphabetically, And Separate By A Comma And A

Answers

Answer 1

As angle 6y° and angle( 13y - 10 )° are interior angles on the same side of transversal their sum will be equal to 180° .

Then :-

[tex]6y + 13y - 10 = 180[/tex]

[tex] 19y - 10 = 180[/tex]

[tex]19y = 180 + 10[/tex]

[tex]19y = 190[/tex]

[tex]y = \frac{190}{19} [/tex]

[tex]y = 10[/tex]

Which means :-

= 13y - 10

= 13 × 10 - 10

= 130 - 10

= 120°

Then angle 6y :-

= 6 × 10

= 60°

As angle 60° and angle 9x + 12° are a linear their sum will also add up to form 180° .

Which can be written as :-

[tex]60 + 9x + 12 = 180[/tex]

[tex]9x + 72 = 180[/tex]

[tex]9x = 180 - 72[/tex]

[tex]9x = 108[/tex]

[tex]x = \frac{108}{9} [/tex]

[tex]x = 12[/tex]

Then :-

= Angle 9x + 12

= 9 × 12 + 12

= 108 + 12

= 120°

Therefore , the value of y = 10 and the value of x = 12 .


Related Questions

2/3y + x =4 Solve for y

Answers

Answer:

y = -3x + 12/2

Step-by-step explanation:

Step 1: Add -x to both sides

x + 2/3 + -x = 4 + -x

2/3y = -x + 4

Step 2: Divide both sides by 2/3

2/3y ÷ 2/3 = -x + 4 ÷ 2/3

y = -3x + 12/2

the function is y=-3x+12/2

A construction company orders tile flooring for the kitchen and three bathrooms of a new home. The kitchen floor measures 48 square feet. Two bathrooms have floors that each measure square feet. The third bathroom floor measures square feet. If the tile costs $2.39 per square foot, what's the least amount of money, to the nearest cent, the company spends on tile for all three bathrooms

Answers

Step-by-step explanation:

The question is incomplete. Let us assume the two bathrooms have floors that each measure 24 square feet and third bathroom floor measures 18 square feet.

For the two bathrooms, the total area will be 2*24 = 48 square feet

Since the third bathroom measures 18 square feet, the total square feet for the  3 bathrooms is equal to 48sq. ft + 18 sq.ft = 64sq. ft

If the tile costs $2.39 per square foot, then the amount that 64sq. ft tiles will cost is expressed as:

1 sq. ft = $2..39

64sq.f = $x

Cross multiply:

1*x = 2.39* 64

x = $152.96

Hence the amount that the company's spent on tiles for the three bathrooms will be 15296 cents.

Note that the dimensions of bathrooms were assumed. You can follow the same procedure for any dimension given.

I need help please, can you help me?

Answers

Answer:

x= 16 degrees

Step-by-step explanation:

the angles can be a little hard to remember but just know that the angles that are outside of the transversal are exterior angles and if they are on the opposite sides of the line that passes through the parallel lines then they're alternate exterior angles and those angles that are inside are interior angles and if they are on the opposite sides of the line passing through the parallel then they are alternate interior angles .

Which numbers below are solutions to the inequality 4y+3≤−7?

Answers

Answer:

answer is in picture

Step-by-step explanation:

Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x " #50 cm and x " )50 cm. The charge densities on the planes are #50nC/m2 and )25 nC/m2 , respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x " )80 cm? (Hint: Use Gauss’ law.)

Answers

Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -50 cm and x = +50 cm. The charge densities on the planes are -50 nC/m² and +25 nC/m², respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +80 cm? (Hint:Use Gauss’ law.)

Answer:

ΔV = 2520 V

Step-by-step explanation:

We are given;

Charge density 1; σ1 = -50 nC/m² = -50 × 10^(-9) nC/m²

Charge density 2; σ2 = +25 nC/m² = +25 × 10^(-9) nC/m²

Now, formula for electric field strength is;

E = -(½ε)(|σ1| ± |σ2|)

ε is vacuum permittivity with a constant value as 8.85 × 10^(−12) C²/N.m²

|σ1| and |σ2| means we are taking the absolute values and would therefore not use the negative sign attached to them.

Now, in between x = 0 cm(0 m) and 50 cm (0.5 m), electric field generated by both charge densities would be in the same direction and thus;

E_in = -(½ε)(|σ1| + |σ2|)

E_in = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) + (25 × 10^(-9))]

E_in = -4200 V/m

In contrast, when x ≥ 50 cm (0.5 m), electric field generated by both charge densities would be in opposite directions and thus;

E_out = -(½ε)(|σ1| - |σ2|)

E_out = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) - (25 × 10^(-9))]

E_out = 1400 V/m

The magnitude of the potential difference from the origin to x = 80 cm(0.8 m) is calculated as attached;

From the attachment, we see that;

ΔV = 2520 V

can you guys please help​

Answers

Answer:

I cant read all of that. Im sure others ant either.

Step-by-step explanation:

Answer:

i cant read it for some reason, can you type it?

Step-by-step explanation:

Please help me i will mark you brainliest

Answers

y = -11x2 – -52 or y = -5.5x – 52

Can someone please help me this question. It’s due today I will appreciate it .

Answers

49
You have a line on the right crossed by two other lines the line means 180 degree up degree is 131 which means the other line has same degree
So now u need outer angle so 180-131=49

A parking garage charges an initial fee to enter, as well as an hourly rate to park. The equation, T = 6 + 2.50h, relates hours parked, h, and
the total charges in dollars, T.
What is the initial fee to enter the garage?
O A $2.50
OB. $3.50
OC. $6.00
OD. $8.50
S RESET
Anala Ramon, ID#******63
Growth: Algebra 1 CCSS 2010
Question # 36

Answers

Answer:

The answer is $6.00.

Step-by-step explanation:

They said that there was an initial fee along with an hourly fee. They also said that the hourly fee depended on the number of hours put in. Which would be h. So the initial fee stays the same and is just added to the hourly fee. As you can see the fee added on to the hourly fee is $6.oo.

The initial fee to enter the garage is option (C) $6.00.

What is the linear equation?

The linear equation is the algebraic form of equation whose variables has the exponent of one. It is the combination of two variables and a constant value present in them.

For the given situation,

The equations is, T = 6 + 2.50 h

where, h is the parking hours and

T is the total charges in dollars.

The initial fee to enter the garage means there will be no fee for parking,

⇒ [tex]h=0[/tex]

Then the equation becomes,

⇒ [tex]T=6[/tex]

Hence we can conclude that the initial fee to enter the garage is option (C) $6.00.

Learn more about linear equation here

https://brainly.com/question/19549073

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plz help
which equation represents a line that is perpendicular to the line on the graph?
A) y=-4x+3
B) y= -1/4x+1
C) y=-1/x-2
D) y= 4x+4​

Answers

Answer:  D) y = 4x+4

===================================================

Explanation:

The given visual line has a slope of -1/4. We can see this by starting at (0,2) and we do two things

a) move down 1

b) move over to the right 4

This leads to slope = rise/run = -1/4

Once we find the slope of the original line, we take the opposite reciprocal. This is also called the negative reciprocal. So we'll take the reciprocal of -1/4 to get -4/1 or just -4. Then we flip from negative to positive.

In short we flip the fraction and the sign. That has us go from -1/4 to 4.

The original slope is -1/4. The perpendicular slope is 4.

Side note: multiplying any two perpendicular slopes leads to -1. Neither line can be vertical.

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

So we found the slope of the perpendicular line to be m = 4.

We don't know which point the perpendicular line goes through, so theoretically we have infinitely many equations to pick from. They are all in the form y = 4x+b. Note how I replaced m in y = mx+b with 4.

So our answer will be in the form y = 4x+b. Choices A through C don't fit the description. Only choice D does. So choice D is the answer.

With y = 4x+4, the slope is 4 and the y intercept is 4.

Ok im tired of asking this
Ok i need both questions

Answers

Answer:

Answer 1:

5/8 = 2.5/4 so its 2.5 months

Answer 2: The decimal repeats as when you divide by 2 you get 4.5/8, which is 0.5625.

Step-by-step explanation:

1/4=2/8, so continue that on until you get the answer.

5/8÷1/4

5.8·4/1=

20/8=2.5

9/16=

9÷16=

0.5625

8. What is the result of (11x + 18i)(117 - 18i)?

Answers

1287x + 342 +(-198x + 2106) i

I do not understand this ​

Answers

Answer:

It would be C. The hexagon.

Answer:It would be C because you have 3 sides for the triangle than 4 sides for the rectangle, 5 sides for the pentagon, and 6 sides for the hexagon

Step-by-step explanation:

helpp ill mark u as brainlist​

Answers

Answer:

Assuming you want slope formula for this, it's y= (5/9)x -1


Riley buys a swim pass for the pool in January. The first month costs $30. Each month after that, the cost is $20 per month.

Write the equation for finding the total cost of
a one-year swim pass.

Answers

Answer:

you pay 240 dollars a year

Step-by-step explanation:

y=20x

x is 12

20*12=

240

Answer: $250

Step-by-step explanation:

What must 111,111,102 be divided by to get 9 as the quotient and 0 as the remainder?

Answers

ANSWER: 12,345,678

EXPLANATION:
we can work backwards by figuring out what 9(the answer) is multiplied by to get 111,111,102 (the starting number) we can do this by dividing by 9:

111,111,102/9 = 12,345,678

so: 9 * 12,345,678 = 111,111,102
which also means

111,111,102/12,345,678 = 9 (with 0 as a remainder)

Find the midpoint of the line segment with the given endpoints. 8) (4, -6), (-4,8) A) (0, 1) C) (4, -7) B) (-12, 22 D) (-1,2)

Answers

Answer:

(0, 1)

Step-by-step explanation:

The formula is pretty straightforward you just need to plug in the numbers you have

What is an equation that is equivalent to -3/4x+1/8=-3/8?

Also the / is not a division symbol. The numbers with a / are fractions.

Answers

Hope this helps! Follow my Instagram trlamb822!

is 7.66 a rational number

Answers

Answer:

yes

Step-by-step explanation:

Yes it is a rational number

Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven. For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile. Write an equation and find the number of miles for which the companies’ charges will be the same.

Answers

Answer:

100 miles

Step-by-step explanation:

Let the number of miles driven = x

Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven.

$55 + $0.25x

55 + 0.25x

For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile.

$45 + $0.35x

45 + 0.35x

Equation :

55 + 0.25x = 45 + 0.35x

The number of miles for which the companies’ charges will be the same is calculated as:

55 + 0.25x = 45 + 0.35x

Collect like terms

55 - 45 = 0.35x - 0.25x

10 = 0.10x

x = 10/0.10

x = 100 miles

The number of miles for which the companies’ charges will be the same is

100 miles.

what is the slope of the line represented by the equation y+2x=4

a. -2

b. 2

c. 4

d. 1/2

Answers

-2 because it’s positive 2 and on the graph it would have to be the opposite of the graph which is -2
The answer is b. M=2. 2.

Which of the q-values satisfy the following inequality?
6-3q≤1

Answers

Answer:

[tex]q\ge \frac{5}{3}\\\\q\geq 1\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]6-3q\leq 1\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6-3q-6\le \:1-6\\\\Simplify\\\\-3q\le \:-5\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-3q\right)\left(-1\right)\ge \left(-5\right)\left(-1\right)\\\\Simplify\\\\3q\ge \:5\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3q}{3}\ge \frac{5}{3}\\\\Simplify\\\\q\ge \frac{5}{3}\\\\q\geq 1\frac{2}{3}[/tex]



A car travels 30.5 miles in of an hour. What is the average speed, în miles per hour
of the car?

Answers

Answer:

rounded to the nearest hundredth its 46.21

Step-by-step explanation:

trust im smart

A type of superglue has a density of 0.86 g/mL. What is the mass of a 150 mL sample of this glue?

Answers

Answer: 129g

Step-by-step explanation:

The formula to calculate mass is given as:

m = d × v

where,

m = mass

d = density

v = volume

Mass = dv

Mass = 150 × 0.86

Mass = 129g

Answer:

Step-by-step explanation:

Is this graph of a function yes or no

Answers

Answer: It could be, just add two dots at the smiley face, BOOM! The function of Facial muscles in humans.

Step-by-step explanation:

It’s a functionnnnnnnnnnnnnnnnnnnn

Please Help Me :(((((( I Really Dont Know How TO Do This :(((((((
which explicit formula describes the sequence −9, −3, 3, 9, 15, …?
Group of answer choices

an = 9n + 6

an = 6n + 15

an = 6n - 15

an = 9n – 6

Answers

Answer:  an = 6n - 15   (Choice C)

======================================================

Explanation:

This sequence is arithmetic

The first term is a = -9

The common difference is d = 6 since we're adding 6 to each term to get the next one (eg: -3+6 = 3 or 3+6 = 9 or 9+6 = 15)

Plug those values into the arithmetic nth term formula below

an = a + d*(n-1)

an = -9 + 6*(n-1)

an = -9 + 6n-6

an = 6n - 15

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

As a check, let's plug in something like n = 1

an = 6n - 15

a1 = 6*1 - 15

a1 = 6 - 15

a1 = -9

We see that the 1st term is -9, which matches the sequence given

Now let's plug in n = 2

an = 6n - 15

a2 = 6*2 - 15

a2 = 12 - 15

a2 = -3

The 2nd term is -3. This also matches.

I'll let you check the other values of n to confirm the answer.

$3,000 is invested in an account paying 4% interest and twice that amount is invested at 6%.

Which of the following expressions represents the amount of interest earned on the money invested at 6%?

a. 2(3,000)
b. 0.06(6,000)
c. 0.06(3,000)

Answers

Answer:

B

Step-by-step explanation:

Kiran sells f full boxes and h half-boxes of fruit to raise money for a band trip. He earns $5 for each full box and $2 for each half-box of fruit he sells and earns a total of $100 toward the cost of his band trip. The equation 5f+2h=100 describes this relationship. Solve the equation for f.

Answers

Answer:

f = (100 - 2h) / 5

Step-by-step explanation:

Given:

5f + 2h = 100

Solve the equation for f.

5f + 2h = 100

Subtract 2h from both sides

5f + 2h - 2h = 100 - 2h

5f = 100 - 2h

Divide both sides by 5

5f / 5 = (100 - 2h) / 5

f = (100 - 2h) / 5

If f = 1 full box

h = 1/2 box

h = 1/2 of f

h = 1/2f

Substitute h = 1/2f into

f = (100 - 2h) / 5

f = {100 - 2(1/2f)} / 5

f = (100 - 2/2f) / 5

5f = 100 - f

5f + f = 100

6f = 100

f = 100 / 6

= 16.67

f = 16.67

The required value of f is 16.67.

Given that ;

Kiran sells full box of fruit cost for each box = f = $5

And Kiran sells half box of fruit cost for each = h = $2

According to the question ;

For full box cost  + for half box cost = Total cost of his band trip

5f + 2h = 100

Solve the equation following equation for f .

5f + 2h = 100

Subtract 2h from both sides

5f + 2h - 2h = 100 - 2h

5f = 100 - 2h

Divide both sides by 5

[tex]\frac{5f}{5} = \frac{100}{5} - \frac{2h}{5}[/tex]

f = 20-2h

For full box f = 1 full box

For half box h = 1 half box

It means h = [tex]\frac{1}{2}[/tex] of f

h = [tex]\frac{1}{2}f[/tex]

Substitute the value of h  

[tex]f = \frac{(100-2h)}{5} \\f = \frac{100-2(\frac{1}{2f} )}{5}[/tex]  

[tex]f = \frac{100-f}{5}[/tex]

5f = 100 - f

5f + f = 100

6f = 100

[tex]f = \frac{100}{6}[/tex]

f = 16.67

The required value of f is 16.67.

For more details about the making equation click the link given below.

https://brainly.com/question/9151865

your brother is 1/2 your age.your sister is 5 years older than your brother . your sister is 15 years old write and solve an equation to find your age x

pls help me I will mark brainleyest​

Answers

You would be 20 years old.

help me with this please

Answers

Answer:

26

Step-by-step explanation:

square root of 81 is 9, 9*2 is 18, square root of 64 is 8, 18+8 is 26

Answer:

26

Step-by-step explanation:

2(square root of 81)+square root of 64

2(9)+8=

18+8=

26

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