Mathematics High School

Find the value of x. Then find the measure of each labeled angle.

Answers

Answer 1

Answer:

X=20; the labeled angles are 80 and 100

Step-by-step explanation:

These angles are "consecutive interior angles" so they will add up to be 180.

180 = 5x + 4x

180 = 9x

180/9 = 9/x

20=x

Related Questions

Bryan is making a wooden cube to hold his little sister's jewelry. The volumes the cube is
3
512 in ³. What is the length of one side of the jewelry box?

Answers

Answer:

8 in

Step-by-step explanation:

Volume of Cube = 512 in³

Formula : -

Volume of cube = side x side x side = side³

512 = 8 x 8 x 8 = 8³

So,

The length of one side of the jewelry box is 8 in.

Find the value of x.

Answers

Answer:

x=21°

Step-by-step explanation:

40°+5x+14°+x=180°

5x+x=180°-40°-14°

6x=126°

x=21°

Answer:

x = 21

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

x + 40 + 5x+14 = 180

Combine like terms

6x+54 =180

Subtract 54 from each side

6x+54-54 = 180-54

6x =126

Divide each side by 6

6x/6 =126/6

x = 21

Explain the difference between area and volume.

a. Area is a measurement of the distance around an object, while volume measures the amount of two-dimensional space inside an object.

b. The area of an object is the amount of 3-dimensional space is inside it. The volume of an object represents the distance around it.

c. The area of an object is the amount of 3-dimensional space is inside it. The volume of an object is a measurement of how much 2-dimensional space it has.

d. The area of an object measures the amount 2-dimensional space it occupies. Volume represents the amount of space inside a 3-dimensional object.

Answers

Answer:

d. The area of an object measures the amount 2-dimensional space it occupies. Volume represents the amount of space inside a 3-dimensional object.

Step-by-step explanation:

The difference between area and volume...

Area is expressed in square units (²), measured in 2D (length × width). Volume is expressed in cubic units (³), measured in 3D (length × width × depth).

A. INCORRECT,

Area is not a measure of distance around an object that is perimeter. Volume = length × width × depth making it a 3D space inside an object NOT 2D

B. INCORRECT,

Area of an object is not 3D space is inside, rather this is volumeVolume of an object represents the distance around it is not true, this is describing perimeter

C. INCORRECT,

Area of an object is the amount of 3D space is is for volume not areaVolume of an object is a measurement of 2D space which not true

D. CORRECT,

Area of an object measures is a 2D space it occupies, length × widthVolume represents the amount of space inside a 3D object, length × width × depth

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Which of the following is an example of why irrational numbers are not closed under addition?
√4+√4=2+2=4,
and 4 is not irrational
1/2+1/2=1, and 1 is not irrational
√10+(-√10) = 0, and 0 is not irrational
-3 +3 = 0, and 0 is not irrational

Answers

Answer:

√10 + (-√10) = 0, and 0 is not irrational

^ this one

please help me to find the answer Y=2X 3X+4Y=22 Y=2X 3X+4Y=22

Answers

System of equations.

[tex]\left\{\begin{array}{ccc}y=2x&(1)\\3x+4y=22&(2)\end{array}\right[/tex]

Put (1) to (2):

[tex]3x+4(2x)=22\\3x+8x=22\\11x=22\qquad|\text{divide both sides by 11}\\\boxed{x=2}[/tex]

Substitute the value of x to (1):

[tex]y=2\cdot2\\\boxed{y=4}[/tex]

Solution:

[tex]\huge\boxed{\left\{\begin{array}{ccc}x=2\\y=4\end{array}\right}[/tex]

Simplify the expression.

Answers

Answer:

Step-by-step explanation:

what is equivalent to the given equation -8(x+13)=2(x-7)+4x

Answers

(-8x-104=6x-14) is equivalent to the given equation (-8(x+13)=2(x-7)+4x).Option C is correct.

What is the equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given equation;

⇒-8(x+13)=2(x-7)+4x

⇒-8x-13×8 = 2x-2×7+4x

⇒-8x-104=2x-14+4x

⇒-8x-104=6x-14

(-8x-104=6x-14) is equivalent to the given equation (-8(x+13)=2(x-7)+4x).

Hence, option C is correct.

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Does this graph show a function? Explain how you know.
O A. No; the graph fails the vertical line test.
O B. Yes; there are no y-values that have more than one x-value.
• C. No; there are y-values that have more than one x-value.
O D. Yes; the graph passes the vertical line test.

Answers

Answer:

letter c

Step-by-step explanation:

YOUR LUCKY THAT THIS QUESTION IS IN MY LEARNING & PLEASE NEXT TIME PUT THE GRAPH THAT YOU ARE TALKING ABOUT

KEEP ON LEARNING

Help would be appreciated

Answers

Answer:

625 × 48 = 30,000

[tex]\sqrt[4]{30000} = 10 \sqrt[4]{3} [/tex]

answer = third option

PLEASE HELP ME!!! I'M ON A SERIOUS TIME CRUNCH!!!
Given the graph of trapezoid FOUR and its reflection. Use the coordinates of the images’ vertices, U and U' to to algebraically find the line of reflection.
x = -1
y = 1
x = 1
y = -1

Answers

Answer:

y = -1

Step-by-step explanation:

Because the coordinate of U and U' is (5, 0) and (5, -2), the line that is right in the middle would be y = -1.
Or you can compare two of the coordinates to create the line of reflection.

For example: R (0,0), R'(0, -2)

U(5, 0), U'(5, -2)

The middle points are (0, -1) (5, -1).

In this case, y = -1.

Given the quadrilateral below is a rhombus, solve for the length of the side of the rhombus.

Answers

Answer:

7.21

Step-by-step explanation:

There is a formula to find the area of a side of a rhombus given 2 diagonals.

It is: [tex]\frac{\sqrt{p^{2}+q^{2} } }{2}[/tex]

64 + 144 = 208

[tex]\sqrt{208}[/tex] = 14.42

14.42 / 2 =

7.21

The diagonals of the rhombus meet perpendicularly, so you have four right triangles. Because of this you can use the Pythagorean theorem with 8 and 12 to find the side.

Theorem: a^2 + b^2 = c^2

8^2 + 12^2 = c^2
64+144 = c^2
c^2 = 208
c = sqrt208

A half-marathon is 13 miles, how many kilometers is that?
26 km

82.36 km
20.92 km
209.31 km

Answers

Answer:

The correct answer would be 20.92

the answer is 20.92 because one mile is 1.60 and 1.60 x 13 is 20.92

Simplify 10√3x +4√3x +5√3x

Answers

Add the like terms :

10√3x + 4√3x + 5√3x

(10 + 4 + 5)√3x

19√3x

48 + what gives you 180

Answers

Answer:

132

Step-by-step explanation:

180-48=132

Answer: 132

Step-by-step explanation:

let x = unknown amount

48 + x = 180

————————————————————————

Solve for x by subtracting 48 from both sides

48 - 48 + x = 180 - 48

x = 132

A train travels at 100 milers per hour. An equation can be written that compares the time (t) with the distance (d). Define the domain and range

Answers

Answer:

The domain is t ≥ 0

The range is D ≥ 0

Step-by-step explanation:

[tex]rate = \frac{distance}{time}[/tex]

D(t) = 100t + d₀

t is the time measured in hours.

d₀ is the initial position of the train.

We can assume the distance they go is not negative so...

The domain is t ≥ 0

The range is D ≥ 0

Solve the equation:
1-2 lnx = -4
~ [?]
X~
Round your answer to the nearest thousandth.

Answers

Answer:

x ≈ 12.182

Step-by-step explanation:

1 - 2lnx = - 4 ( subtract 1 from both sides )

- 2lnx = - 5 ( divide both sides by - 2 )

lnx = 2.5

x = [tex]e^{2.5}[/tex] ≈ 12.182 ( to the nearest thousandth )

Answer:

x = 12.182 (nearest thousandth)

Step-by-step explanation:

Given equation:

[tex]1-2 \ln x=-4[/tex]

Subtract 1 from both sides:

[tex]\implies 1-1 -2 \ln x =-4-1[/tex]

[tex]\implies -2 \ln x=-5[/tex]

Divide both sides by -2:

[tex]\implies \dfrac{-2 \ln x}{-2}=\dfrac{-5}{-2}[/tex]

[tex]\implies \ln x = \dfrac{5}{2}[/tex]

[tex]\textsf{As }\: \ln x=\log_ex \:\:\textsf{}[/tex], the natural logarithm can be canceled by giving both sides a base of e (Euler's number):

[tex]\implies e^{\ln x}= e^{\frac{5}{2}[/tex]

[tex]\implies x= e^{\frac{5}{2}[/tex]

[tex]\implies x=12.182\:\: \sf (nearest\:thousandth)[/tex]

Calculate the sum of each expression. Arrange the expressions in the order of their value from largest to smallest.
92 + ( -5 )
2+2

Answers

Answer:

Step-by-step explanation:

Answer:

92 + ( -5 ) , 2+2

Step-by-step explanation:

1) 92 + ( -5 )

= 92 - 5

= 87

2) 2 + 2 = 4

Select the graphs that show a proportional relationship between x and y

Answers

Hey there could you please show an image of said graphs!

Henry recorded the number of miles he biked each day for a week. His milles were 25,40,35, 25, 40, 60, and 75.
Enter the data into the statistics calculator
What is the standard deviation of the milles Henry bilked to the nearest tent?

Answers

The answer is 17.1 if i did my math correctly

5) A restaurant menu has 6 starters, 10 mains and 6 desserts.
A customer can choose from the following meals
a starter and a main,
a main and a dessert,
a starter, a main and a dessert.
Show that there are 480 different ways of choosing a meal at this restaurant.

Answers

Answer: 360

Step-by-step explanation: 6 times 6 times 10 = 360

hat is the total surface area of the square pyramid below? A square pyramid. The square base has side lengths of 10 centimeters. The triangular sides have a height of 14 centimeters. 100 cm2 200 cm2 280 cm2 380 cm2

Answers

Answer:

Step-by-step explanation:

area of square + 1/2 area of 1 triangle * 4

find the odds against rolling a number larger than 1 on a die

Answers

Answer:

.833 (83.3%)

Step-by-step explanation:

There are 6 numbers on a normal die. 5 of them are larger than 1. The odds would be 5/6

Someone help me : The Venn diagram below shows the number
of customers in a restaurant who ordered
starters and desserts. There were 23
customers in total.
What is the probability that a customer
picked at random ordered a starter but did
not order a dessert?
Give your answer as a fraction in its
simplest form.

Answers

Answer:

5/23

Step-by-step explanation:

▪︎ There are 23 customers in total.

▪︎ Only 5 of them ordered a starter but not a dessert.

▪︎ => 5/23

The probability that a customer picked at random ordered a starter but did not order a dessert = 5/23

What is probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total Customers= 23

and, Customer like starter=5

Customer like Dessert =8

Customer like both =7

So, probability that a customer picked at random ordered a starter but did not order a dessert = 5/23

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find the inverse of the given function f(x) = (-2x+1)^2 where x _< 1/2

Answers

Answer:

((√x) - 1 )/-2 = y (3rd answer)

Step-by-step explanation:

Swap the x and y in the original equation:
x = (-2y+1)^2
√x = -2y + 1
((√x) - 1 )/-2 = y
I believe the final answer is the third answer.

which statements could be an interpretation of the graph x intercept or y intercept

Answers

Answer:

If you attach the answers i can help you better

Step-by-step explanation:

The graph shows which system of inequalities

y < -2x + 6
y≤ x + 2

y≤ -2x + 6
y < x+2

Y < 2/3 x-2
≥ 2x + 2

None of the above

Answers

Answer:

A. y < -2x + 6

y≤ x + 2

Step-by-step explanation:

I put it in desmos.

Hope this helps!

If not, I am sorry.

URGENT, please help I am so lost

Answers

Answer:

Using the concept of linear equations, we find that we need 40 gallons of the 65% antifreeze and 10 gallons of the 90% antifreeze.

Step-by-step explanation:

Let x = amount of 20% antifreeze

Let y = amount of 70% antifreeze

Given that the total amount of antifreeze is 80 gallons

So, x + y = 80

Also given that the purity of the total antifreeze is 60%.

0.65x + 0.90y = 0.70(x + y)

65x + 90y = 70(x + y)

Simplify and solve the system of equations

65x + 90y = 70x + 70y

65x -70x+ 90y-70y = 0

-5x + 20y = 0

Now we have the following system of equations:

x + y = 50

-5x + 20y = 0

Multiply the first equation by 5 to get opposite coefficients for x;

add the equations to eliminate x

5x + 5y - 5x + 20y = 250

25y = 250

y = 10

Since the total mixed gallons is 50,

x = 50 - 10 = 40

So we need 40 gallons of the 65% antifreeze and 10 gallons of the 90% antifreeze

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Rayonnia is buying cans of frozen lemonade concentrate to make punch for a holiday party with each can she can make 6 cups of lemonade write an equation which gives the number of cups of lemonade that can be made with any number of cans of frozen lemonade concentrate

Answers

The number of cups of lemonade, y that can be made with any number of cans of frozen lemonade concentrate, x is y=6x.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that with a single can of frozen lemonade concentrate 6 cups of lemonade can be made. Therefore, the number of cups that can be made with x number of cans is,

Number of cups that can be made, y = 6x

Hence, the number of cups of lemonade, y that can be made with any number of cans of frozen lemonade concentrate, x is y=6x.

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what it the answer to 1 ÷ 4 1/2=

Answers

Its 2/9 which is 0.22222

Answer:

2/9 or 0.22222

Step-by-step explanation:

Which distance measures 7 units? L 50+5 7 -8 -7 -6 5 4 3 -2 -1 0 1 2 O the distance between points L and M O the distance between points L and N O the distance between points M and N the distance between points M and P 3 4 OL 5 6 s 8

Answers

The distance that measures 7 units is the distance between points M and P

How to determine the distance?

The complete question is in the attached image

The points are given as:

L= -7

M = -1

N = 2

P = 6

The distance between any points A and B is calculated using:

AB = |B - A|

Using the above formula, we have:

MP = |6 -(-1)|

Evaluate the difference

MP = |7|

Remove absolute bracket

MP = 7 units

Hence, the distance that measures 7 units is the distance between points M and P