Find the value of x and y given that p//q. Type answers alphabetically, and separate by a comma and a space
Answers
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
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.
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]
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
===================================================
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.
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
Please help me i will mark you brainliest
Answers
y = -11x2 – -52 or y = -5.5x – 52
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
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.
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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$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:
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
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
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:
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
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 .
Can someone please help me this question. It’s due today I will appreciate it .
Answers
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
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 is the slope of the line represented by the equation y+2x=4
a. -2
b. 2
c. 4
d. 1/2
Answers
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
Which numbers below are solutions to the inequality 4y+3≤−7?
Answers
Answer:
answer is in picture
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
8. What is the result of (11x + 18i)(117 - 18i)?
Answers
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
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
======================================================
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.
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:
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:
What must 111,111,102 be divided by to get 9 as the quotient and 0 as the remainder?
Answers
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)
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:
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
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: