Geometry Question: Image is provided below.

Please show all work and your steps.

25 points

Geometry Question: Image Is Provided Below.Please Show All Work And Your Steps.25 Points

Answers

Answer 1
We know that the angle above 10x + 54 must be 8x because of Alternate angles. And we also know that angles in a straight line add up to 180. So we can infer that 10x + 54 + 8x = 180
We can simplify that into 18x + 54 = 180
Now we take away 54 from both sides to get 18x = 126
Now divide both sides by 18 and we get
x = 7.
Now that we know that x = 7 we know that the 10x + 54 angle is equal to 124 by substituting the value of x in. We also know that 11y + 14 must equal to 124 because of vertically opposite angles. So we have 11y + 14 = 124.

Take away 14 from both sides; 11y = 110
Now divide both sides by 11 and we get
y = 10

So x = 7 and y = 10
I hope that you understood all of my steps and if this did help you a Brainliest would be very appreciated :)
Answer 2

Answer:

x=7

y=10

Step-by-step explanation:

8x and 11y+14 are same side interior angles so they add to 180 degrees

11y+14 and 10x+54 are vertical angles so they are equal

8x + 11y+14 = 180

11y+ 14 = 10x+54

Substitute 10x+54 for 11y+14 in the first equation

8x +10x+54 = 180

Combine like terms

18x+54 =180

Subtract 54

18x+54-54=180-54

18x =126

Divide by 18

18x/18 = 126/18

x=7

Now we can find  y

11y+ 14 = 10x+54

11y + 14 = 10*7+54

11y+14 = 70+54

11y+14 =124

Subtract 14 from each side

11y = 124-14

11y =110

Divide by 11

11y/11=110/11

y =10


Related Questions

The rhombus QRST is made of two congruent isosceles triangles. Given angle QRS = 34, what is the measure of angle S?

Answers

Answer:

146

Step-by-step explanation:

Since we know that this is a rhombus, we know that opposite angles must be equal to each other. This means that angle QTS is equal to angle QRS. Therefore angle QTS also equals 34.

Now, we also know that all the interior angles in a quadrilateral add up to 360. We can subtract 360-34-34=292.

Now we know that the remaining two angles S and Q need to add up to 292. We also know that they are equal because they are opposite angles. Therefore, we can solve the equation 292÷2=146. Each of these angles is 146. So the measure of angle S is 146.

The measure angle of S is 146 .

A rhombus is a special case of the parallelogram and is a quadrilateral with four equal sides. In a rhombus, the opposite sides are parallel and the opposite angles are equal. Also, all the sides of the rhombus are equal in length and the diagonals bisect each other at right angles. The rhombus is also known as a diamond.

By symmetry ;

This means that m∠QTS is equal to m∠QRS. Therefore ∠QTS is also equals 34.

We also know that The common property for all the above four-sided shapes is the sum of interior angles is always equal to 360 degrees. For a regular quadrilateral such as square, each interior angle will be equal to: 360/4 = 90 degrees.

Now we know that the remaining two angles S and Q need to add up to 292.

= 360 -34 -34= 292

We also know that they are equal because they are opposite angles.

Therefore, we can solve the equation,

[tex]\frac{sum of two opposite angle}{2}[/tex] = [tex]\frac{292}{2}[/tex] = 146

Each of these angles is 146.

So the measure of angle S is 146.

For the more information about properties of rhombus click the link given below.

https://brainly.com/question/4115340

 

PLZ ANSWER THIS QUICK! THANK U!!

Answers

There is 33 students in the class

I need help with this is anyone

Answers

Answer:

-w+41

Step-by-step explanation:

5(w+4)-3(2w-7)

5w+20-6w+21

-w+41

Help plz and thanks

Answers

Answer:

8

Step-by-step explanation:

4x4=16x8=128

Mike has $800 in his bank account. Over the last 5 years, the amount in his account has went down to $300. What integer represents the average decrease in value PER YEAR?​

Answers

Answer:

The average decrease each year is 60 because 300 divided by 5 is 60.

HOPE THIS HELPS

8800000 in scientific notation

Answers

Answer:

8.8 x 10 to the power of 6

Step-by-step explanation:

Erica and 4 friends are going out for pizza for dinner. They split one pizza and 5 small drinks. The pizza costs $13.00. They spend a total of $20.50. Find the cost of one small drink. Define the variable, write and solve an equation, and answer the question.

Answers

to find the cost of a small drink, you might want to:

subtract the decimals

total cost : $20.50

cost of pizza :$13.00.

cost of one small drink : total cost - cost of pizza

                                      :  $20.50 - $13.00.

                                      : 20.50

                                    -   13.00

                                      :    07. 50

                                     :   $ 7.50

                                 

Directions
Which one of the following describes the best estimate for 15+ 13?

Answers

Answer:

30

Step-by-step explanation:

15 - 20

13 - 10

   

20+10=30

−9x+5<17 and 13x+25<−1 solve for x

Answers

-9x + 5 < 17

Subtract 5 from both sides:

-9x < 12

Divide both sides by -9, and because you are dividing by a negative value the inequality sign gets reversed:

X > -12/9

Simplify:

X > -4/3

13x + 25 < -1

Subtract 25 from both sides:

13x < -26

Divide both sides by 13:

X < -26/13

X < -2

Answer:

There are no solution. if you using khan answer is B

Step-by-step explanation:

I did it and got it correct

A car travels about 74 feet in one second. At this speed, about how many feet will the car travel in 6 seconds?

Answers

444 ft traveled in 6 seconds.

If the car travels 74 ft in 1 second, all you have to do is multiply 74 by 6 to find the answer, which is 444 ft.

can someone PLEASE answer this​

Answers

the correct answer is the last one. hope this helped

Answer:

y = 3x+1

Step-by-step explanation:

Slope:

Change in y = 6

Change in x = 2

6/2=3

Y intercept:

when x is 0 y is 1, so the y intercept is 1

therefore the answer is y = 3x+1

How does a circle help create a trianglular shape

Answers

Answer:

Make a dot where the circles intersect at the top. Using the ruler, draw a straight line from the top dot to each center point. Then connect each center dot with a horizontal line. This is the birth of the triangle!

Does this graph show the set of all solutions for 7x +2y = -14?

Answers

Answer:

yes

Step-by-step explanation:

y= -7/2x -7

Neuma has a container that held 9/54 of a kilogram of rainbow sprinkles she divided the sprinkles Evenly to put on top of the 9 servings of ice cream that she was making for her friends at the sleepover.To determine the weight of each serving neuma performed the calculations below she concluded that each serving weighs 1/6 of a kilogram. What is Neumas error?

Answers

Answer:

c. neuma should have only divided 9 by 9, not 54 by 9.

Step-by-step explanation:

Neuma had a container that held 9/54 of a kilogram of rainbow sprinkles. she divided the sprinkles evenly to put on top of the 9 servings of ice cream that she was making for her friends at the sleepover. to determine the weight of each serving, neuma performed the calculations below. she concluded that each serving weighs 1/6 of a kilogram. what is neuma’s error?

a. neuma should have multiplied by 54, not divided.

b. neuma should have multiplied by 9, not divided.

c. neuma should have only divided 9 by 9, not 54 by 9.

d. neuma should have only divided 54 by 9, not 9 by 9

Neuma's calculation

9/54

= 1/6

Kilogram of rainbow sprinkles = 9/54

Ice cream servings = 9

Correct calculation

Weight of each servings = total weight / number of servings

= 9 / 54 ÷ 9

= 9 / 54 × 1 / 9

= 1 / 54

Each servings = 1/54 kilogram

c. neuma should have only divided 9 by 9, not 54 by 9.

Answer:

c

Neuma should have only divided 9 by 9, not 54 by 9.

At the end of a snow storm, Amelia saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. After the storm, the snow started melting at a rate of 1.5 inches per hour and it is known that 4 hours after the storm ended, the depth of snow was down to 12 inches. Write an equation for S,S, in terms of t,t, representing the depth of snow on Amelia's lawn, in inches, tt hours after the snow stopped falling.

Answers

Answer:

s= -1.5t + 18

Step-by-step explanation:

The Equation to represent the depth of snow is s= -1.5t + 18.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

We learn from the question that the snow's depth is s and that it takes hours to melt the snow.

The amount of snow is 12 inches deep after 4 hours of melting.

Now, keep in mind that the melting rate is 1.5 inches per hour.

and, 1.5 x 4 = 6 inches of snow will have melted in the four hours.

Thus, the initial snow depth will be 6 + 12 = 18 inches.

Hence, the Equation to represent the depth of snow is s= -1.5t + 18.

Learn more about equation here:

https://brainly.com/question/18510627

#SPJ5

im failing pls help !!!!!

Answers

Answer:

ill suck ya wang

Step-by-step explanation:5$ and ill suck yo wang to do your homework

Answer:

It is C.

Step-by-step explanation:

If you multiply 2 times 2 you get 4. Then multiply 4 by 5 and you get 20.

Therefore, it is C.

3. 100x2-36y2 ??
ito pa guys pleasedddd!!

Answers

Answer:

4(5x - 3y)(5x + 3y)

Step-by-step explanation:

Assuming you require the expression factored.

Given

100x² - 36y² ← factor out 4 from each term

= 4(25x² - 9y²) ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , thus

25x² - 9y²

= (5x)² - (3y)² ← with a = 5x and b = 3y

= (5x - 3y)(5x + 3y)

Thus

100x² - 36y² = 4(5x - 3y)(5x + 3y) ← in factored form

To all math experts here. Please answer it.​

Answers

Answer:

where are the functions below? or should they be equated? like f(x) with the g(x)??

how do you add two areas together​

Answers

Answer:

You would just add them like normal

Step-by-step explanation:

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Use the distributive property to factor the expression.

2
k

+

10

Answers

Answer:

Step-by-step explanation:

2k+10   | Both terms share the common factor two, so you can take it out (divide both terms by 2)

2(k+5)  | Now if you use the Distributive Property to double check, you get 2k+ 10 again

A pentagon has two exterior angles that measure (3x)°, two exterior angles that measure (2x+22)°, and an exterior angle that measures (x+41)°. If all of these angles have different vertices, what is the measure of the smallest exterior angle? 25°25 degrees 66°66 degrees 75°75 degrees 72°

Answers

Answer:

2(3x)+2(2x+22)+x+41=360°

Step-by-step explanation:

Sum of exterior angles of any polygon is 360°.

So if we add up all five exterior angles of the pentagon, we have

I need help what is -0.5 _ -0.2​

Answers

-0.5 < -0.2,
because I need more characters

Write 12 2/3% as a fraction in simplest form

Answers

Answer:

1/4

What is 3/12 Simplified? - 1/4 is the simplified fraction for 3/12.

Step-by-step explanation:

I need help with Regis question.

Answers

Answer:

It is 3/13

Step-by-step explanation:

it is because there are 13 total marbles and 3 yellow ones


10. Separate the number 38 into two parts so
that one number is 6 less than the other
number

Answers

Answer:

16, 22

Step-by-step explanation:

x+x+6=38

2x+6=38

2x=32

x=16

One number is 16, Another number is 22

16+22=38

22-16=6

An equo equila Teral Traingle has
nearest mm workout The Lower
bound of its Perimeter mcm
sides of Lenght 6.2 cm correct to

Answers

Answer:

Step-by-step explanation:

Given parameters:

Dimensions of the equilateral triangle = 6.2cm

Unknown:

Perimeter = ?

Solution:

The perimeter of the triangle is the sum of all its sides;

  Perimeter = 3(L) for an equilateral triangle;

 Perimeter  = 3(6.2) = 18.6cm

to the nearest mm = 19.0cm

If 25% of the students in Pre-Algebra courses receive a grade of A, and there are 300 students enrolled in Pre-Algebra this year, how many students will receive an A? *

125
67
57
75

Answers

Answer:

75 students

Step-by-step explanation:

300/4

Answer:

75

Step-by-step explanation:

Pam rented a bike from Jim's bike shop. Jim charges a rental fee of $6 and then $3 per hour
to rent the bike. If Pam paid $27, for how many hours did she rent the bike?

Answers

Answer:

7 hours

Step by step instructions:

$3 x 7 hours = $21

$21 + $6 = $27

Simply the question in the picture

Answers

Answer:

1

Step-by-step explanation:

The total budget for a landscaping project was $349.02, and the project called for 42 plants. What is the average cost per plant? Explain the method used for solving the problem.

Answers

Answer:

349.02 / 42 = answer

Step-by-step explanation:

method used is dividing total cost by number of goods used gives the exact cost of each plant

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