Find the values of x and y.
(10x – 4)º
16yº
(18y – 18)°
6(x + 2)°

Find The Values Of X And Y.(10x 4)16y(18y 18)6(x + 2)

Answers

Answer 1

Answer:

The value of x is 4 and the value of y is 9

Step-by-step explanation:

In the attached pictures we can see that two lines are intersecting with each other and four angles are form. The angles opposite to each other are also called vertical angles.

The opposite pairs of angles are:

(10x-4)° and 6(x+2)°

(18y-18)° and 16y°

When two lines intersect each other, the vertical angles formed are congruent(Can also be called equal in measurement)

So,

[tex]10x-4=6(x+2)\\10x-4 = 6x+12[/tex]

Subtracting 6x from both sides

[tex]10x-4-6x = 6x+12-6x\\4x-4 = 12[/tex]

Adding 4 on both sides

[tex]4x-4+4 = 12+4\\4x = 16[/tex]

Dividing both sides by 4

[tex]\frac{4x}{4} = \frac{16}{4}\\x = 4[/tex]

AND

[tex]18y-18=16y[/tex]

Adding 18 on both sides

[tex]18y-18+18 = 16y+18\\18y = 16y+18[/tex]

Subtracting 16y from both sides

[tex]18y-16y = 16y+18-16y\\2y = 18[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2} = \frac{18}{2}\\y = 9[/tex]

Hence,

The value of x is 4 and the value of y is 9


Related Questions

Anna needs to save $85 for a yoga class. She has already saved $42. How much more does Anna need to save?​

Answers

85-42= $43
She needs to save $43 more.

Answer:

She needs to save $43more dollars for the yoga class.

Step-by-step explanation:

You subtract 42 from 85 to get the difference.

Answer to this? Only comment if you know!! Thank you :D

Answers

Answer:

a = 35°

Step-by-step explanation:

The angles in a triangle always add up to 180°

∴ 33 + 112 + a = 180

∴a=35°

Find the area of the triangle.

Answers

Answer:

A

Step-by-step explanation:

Hannah needs to calculate the cotangent of an angle. She uses the ratio
opposite leg
for her calculation. Did Hannah correctly calculate the cotangent of the angle?
adjacent leg
A
B.
Yes, Hannah correctly calculated the cotangent of the angle.
adjacent leg
No, Hannah should have used the ratio
opposite leg
hypotenuse
No, Hannah should have used the ratio
opposite leg
O c.
D.
No, Hannah should have used the ratio
adjacent leg
hypotenuse

Answers

Answer:

B. No, Hannah should have used the ratio [tex] \frac{adjacent}{opposite} [/tex]

Step-by-step explanation:

✍️The formula for calculating cotangent of an angle is given as:

[tex] cot = \frac{adjacent}{opposite} [/tex].

The ratio, [tex] \frac{opposite}{adjacent} [/tex], used by Hannah is the formula for calculating tangent of an angle.

Therefore, Hannah did not calculate the cotangent of the angle correctly.

She should have used, the ratio, [tex] \frac{adjacent}{opposite} [/tex] instead.

A train travels 200 miles in 5 hours. How far does the train travel in 3 hours

Answers

Answer:

120 miles

Step-by-step explanation:

200/5 = 40 miles per hour

3 hours = 40*3 = 120 miles

PLS GIVE BRAINLIEST

Solve using Elimination

3x+y=-9
y=5x+7

Answers

Answer

x=-2 and y=-3

Step-by-step explanation:

Step: Solvey=5x+7for y:

Step: Substitute5x+7 for y in 3x+y=−9:

3x+y=−9

3x+5x+7=−9

8x+7=−9(Simplify both sides of the equation)

8x+7+−7=−9+−7(Add -7 to both sides)

8x=−16

8x/8=−16/8

(Divide both sides by 8)

x=−2

Step: Substitute−2 for x in y=5x+7:

y=5x+7

y=(5)(−2)+7

y=−3(Simplify both sides of the equation)

The ratio of the sides of two similar rectangles is 3:5. The larger rectangle has an area of 36 sq. cm. What is the area of the smaller rectangle?

Answers

Answer:

21.6 sq cm

Step-by-step explanation:

3:5

x:36

cross-multiply because they are in proportion

x*5=3*36

divide both sides by 5

x= 3*36/5=21.6

Carrie has 0.125 more than Larry, Larry has 3/4 more than Harry. In total they have 151. How much does Harry have

Answers

Harry has 49.792 units.

Firstly we need to translate sentences into mathematical expressions and then we proceed to solve the resulting system of linear equations:

1) Carrie has 0.125 more than Larry:

[tex]y = x + 0.125[/tex] (1)

2) Larry has 0.75 more than Harry:

[tex]x = z + 0.75[/tex] (2)

3) In total, they have 151:

[tex]x + y + z = 151[/tex] (3)

Then, we proceed to solve the system of equations by direct substitution and clearing the remaining variable:

[tex]x + (x + 0.125) + (x-0.75) = 151[/tex]

[tex]3\cdot x -0.625 = 151[/tex]

[tex]3\cdot x = 151.625[/tex]

[tex]x = 50.542[/tex]

And the remaining solutions are, respectively:

[tex]y = 50.667[/tex], [tex]z = 49.792[/tex]

Harry has 49.792 units.

We kindly invite you to check this question related to systems of linear equations: https://brainly.com/question/16879892

What are ALL the digits of pi??

Answers

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 .

Step-by-step explanation:

y=x
y= 11x-10

simultaneous equation​

Answers

Answer:

y = 1

x = 1

Step-by-step explanation:

If y = x

Replace x with y

y = 11y - 10

y - 11y = -10

-10y = -10

y = 1

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Mrs. Kidd is five feet 3 inches tall. If one inch is approximately 2.5 centimeters, how many centimeters tall is Mrs. Kidd? Do NOT round or label your answer

Answers

Answer:

Mrs.kidd is 162.5 centimeters tall

Step-by-step explanation:

5 foot 3 inches is 63 inches

63 times 2.5 = 162.5

Mrs.kidd is 162.5 centimeters tall

Can someone help me with the questions in the picture?

Answers

6.) -4/3x+4=y
7.) y=2
8.) Undefined

I will give brainliest!!
Please help
s/-4 = 6
what is the value of s?

Answers

Answer:

s = −24

Step-by-step explanation:

Step 1 : Move the negative sign to the left.

[tex]-\frac{s}{4} =6[/tex]

Step 2 : Multiply both sides by 4.

−s = 6 × 4

Step 3 :  Simplify 6 × 4 to 24.

−s = 24

Step 4 : Multiply both sides by −1.

s = −24

factor the polynomial
X^2-5x+4
i’m a little confused on the process to get the answer pls help :)

Answers

Answer:

(x-4)(x-1)

Step-by-step explanation:

So you need 2 numbers that add up to -5x and add up to 4.

Since the product of two numbers is positive and the sum is negative, you can determine that both numbers are negative. Now if this is the case, then you can factor and you'll get

(x-4)(x-1)

i am in doubt in this task ​

Answers

Answer:

zoomMeeting ID: 8570913589 Passcode: K58Ech

Explanation:

NO FACE SHOWING   N^de ZOOM

Step-by-step explanation:

Ludmilla Pavel is paid a commission on all sales over $3,000 a week. Last week she earned a commission
of $420 on sales of $16,000. What rate of commission was she paid to the nearest tenth percent

Answers

Answer:

Since she sold $16,000, she earned commission on $13,000 of it.

So she earned $420 from $13,000

420/13000 = 0.0323 which is 3.23% or 3.2% to the nearest tenth %

10

Step-by-step explanation:

Answer:

3.23% or 3.2% to the nearest tenth %

Step-by-step explanation:

Since she sold $16,000, she earned commission on $13,000 of it. So she earned $420 from $13,000. 420/13000 = 0.0323 which is 3.23% or 3.2% to the nearest tenth %

ARIANA Y SU FAMILIA HAN CONCRETADO UN PROYECTO FAMILIAR DENOMINADO INTALACION DE UNA GRANJA RN LA QUE CREIAN CORDONICES . ELLOS VENDEN LOS HUEVOS EN CAJA DE 20 UNIDADES . SI LA ULTIMA VEZ VENDIERON 27CAJAS ¿CUANTOS VENDIERON EN TOTAL?

Answers

Answer:

540 unidades

Step-by-step explanation:

De la pregunta,

Los huevos se venden:

1 caja = 20 unidades

La última vez que vendiste 27 cajas. Por lo tanto,

1 caja = 20 unidades

27 cajas = x unidades

Cruz multiplicar

x = 27 × 20 unidades

x = 540 unidades.

Por lo tanto, se vendieron 540 unidades de huevos en total.

Jace is working two summer jobs, making $18 per hour lifeguarding and
making $10 per hour washing cars. In a given week, he can work a maximum
of 13 total hours and must earn no less than $170. If x represents the number
of hours lifeguarding and y represents the number of hours washing cars,
write and solve a system of inequalities graphically and determine one
possible solution.

Answers

Answer:

One possible solution is Jace spends 5 hours lifeguarding and 8 hours washing cars

Step-by-step explanation:

The parameters of the two summer jobs Jace is working are;

The amount Jace makes for Lifeguarding  = $18 per hour

The amount Jace makes for washing cars = $10 per hour

The number of hours he can work a week ≤ 13 hours

The amount he must earn in a ≥ $170

Whereby we have;

x = The number of hours Jace spends lifeguarding

y = The number of hours Jace spends washing cars

The system of inequalities are;

x × 18 + y × 10 ≥ 170

x + y ≤ 13

Making y the subject of the formula of both inequalities gives;

For the first inequality, we have;

x × 18 + y × 10 ≥ 170

10·y ≥ 170 - 18·x

y ≥ 170/10 - 18/10·x

y ≥ 17 - 1.8·x

For the second inequality, we have;

x + y ≤ 13

y ≤ 13 - x

Graphing both inequalities is drawn using Microsoft Excel

Equating both inequalities, given in relation to the y-values, the point where the two lines representing both inequalities meet is given as follows;

17 - 1.8·x = 13 - x

17 - 13 = 1.8·x - x

4 = 0.8·x

x = 4/0.8 = 5

y ≤ 13 - x gives;

y ≤ 13 - 5

y ≤ 8

Given that both relationships are either ≤ or ≥, we have the point where both inequalities meet is one possible solution

Therefore;

One possible solution is x = 5 hours, y = 8 hours

The number of hours Jace spends lifeguarding = x = 5 hours

The number of hours Jace spends washing cars = y = 8 hours.

Are You Ready for More?
AB is parallel to CD.
Determine the value of x.
Use the sketch tool if it helps you with your thinking.
А
B
degrees
50°
Submit
o
30°
С
D

Answers

The answer would be B

shaun had a collection of 840 matchbox vehicles. of these vehicles, 15% are four wheelers and 30% are convertibles. the rest are fast cars. how many fast cars are shaun matchbox box.​

Answers

Answer:

462 fast cars please mark brainliest

Step-by-step explanation:

Find the height of the tree in the diagram shown.

Answers

Can you please show a diagram thanks

Answer:

Assuming we have the same question, the answer would be: D) h = 45tan59° ft

Step-by-step explanation:

EASY BRAINLIEST , What is the equation of the line parallel to the line y = 4 and passing through the point (2, -1)?

Answers

Answer:

y = 2

Step-by-step explanation:

Since the line is horizontal, and the line goes through the x-coordinate 2, this is the equation

The number of students attending the seventh-grade class trip is 4 times the number of teachers attending.

What is the ratio of teachers to students attending the class trip?

Answers

Answer:

1:4

Step-by-step explanation:

1 would be the teachers

times 4 would be the students

Answer:   1:4 or 2:16

It can be either answer because the ratios are multiplied with that but it can be divided enough to be 1:4 so any answer would be right if you multiply the ratio by 4

Simplify –36 = (-3) + 2(27 + 3 x 2)
B
с
21
48
108
252

Answers

Answer:

I don't understand the question what is the quarter????

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x-9y=39
4x -9y=69

Answers

Answer:

use desmos and you'll find your answer

Step-by-step explanation:

A snack bar at an outdoor fair is open from 10 A.M. To​ 5:30 P.M. And has 468 bottles of water for sale. Sales average 1.3 bottles of water per minute.

Answers

Answer:

the question is incomplete, so I looked for similar ones

the number of bottles of water remaining as a function of time:

f(x) = -78x + 468

1.3 bottles are sold per minute x 60 minutes per hour = 78 bottles per hour

x = number of hours

the slope is -78

the y intercept is 468

domain = 0 ≤ x ≤ 7.5 hours (from 10 AM to 5:30 PM)

range = 0 ≤ y ≤ 468 bottles

the snack will run out of bottles of water by 4 PM

78x = 468

x = 468 / 78 = 6 hours

if the snack wants to have enough bottles of water to serve all its customers, it will need:

78 x 7.5 hours = 585 bottles of water

TPPC 22345 is a non-real time plan. What does non-real time mean?

Answers

Non-real time, or NRT, is a term used to describe a process or event that does not occur immediately. For example, communication via posts in a forum can be considered non-real time as responses often do not occur immediately and can sometimes take hours or even days

How much larger is 10 7 than 10 3 What operation can we use?

Answers

Answer:

9,999,000

subtraction

Step-by-step explanation:

We can compare numbers using subtraction or division.

A question like "how much larger" usually means a comparison by subtraction. For example, how much larger is 10 than 8. Use subtraction: 10 - 8 = 2. Answer: 2.

A question like "how many times larger" usually means a comparison by division. For example, how many times larger is 30 than 5? Use division: 30/5 = 6. Answer: 6.

Here, the question is "how much larger" not "how many times larger," so we will compare with subtraction.

10^7 - 10^3 = 10,000,000 - 1,000 = 9,999,000

Sherry's age is nine less than six times Fred's age. Write an equation and find Sherry's
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Fred’s age is 15 and sherrys age is 18

what is the next best rapper I NEED TO KNOw

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Step-by-step explanation:

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