Mathematics High School

How are the two angles related?

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Answer 1

The angles 60 degrees and 120 degrees are related by supplementary.

Supplementary angles:

Supplementary angles are angles that sum up to 180 degrees.

In other word, supplementary angles are two angles whose measures add up to 180° .

Therefore, the two angles 60 degrees and 120 degrees are related by supplementary angle. Mathematically

60° + 120° = 180°

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Related Questions

pick-m-up towing company charges 40$ to hook a car and 1.70 for each mile that it is towed. write an equation that represents the total cost y for x miles towed. find the y intercept, and interpret its meaning in the context of the situation

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Using linear function concepts, it is found that:

The equation for the cost of x miles towed is: [tex]y = 1.7x + 40[/tex].The y-intercept is [tex]y = 40[/tex], which means that the flat fee is $40.

A linear equation for a cost has the following format:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change.b is the y-intercept, which is the fixed cost, also called flat fee.

In this problem:

The y-intercept is the cost to hook a car, which is $40, thus [tex]b = 40[/tex] and the flat flee is $40.Cost of $1.70 per mile towed, thus the slope is [tex]m = 1.7[/tex].

Then, the equation for the cost is given by:

[tex]y = 1.7x + 40[/tex]

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what is the aswer ??????

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Answer:

A prime numbers are numbers which have only two factor

The answer is prime number because it’s only two factor

If y = xy + x2 + 1, then when x=-1,
dy/dx

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Given y = xy + x^2 +1, first find y = f(x) = (x^2 + 1) / (1 - x). Then use the quotient rule for derivatives.

dy/dx = [( 1 - x)( 2x) - (x^2 + 1)(-1)] / (1 - x)^2. Substitute the value of x = -1 into the above derivative and get -1/2.

If y = xy + x² + 1, then when x=-1,

dy/dx = -1/2

What is Derivatives?

The rate of change of a function with respect to a variable are called Derivatives.

Given that, y = xy + x² + 1

Put x = -1 we get,

y = -1y + (-1)² + 1

y = -y + 1 + 1

y = 1

Now Differentiating the given equation w.r.t x

dy/dx = xdy/dx + y + 2x

dy/dx - xdy/dx = y + 2x

dy/dx (1 - x) = y + 2x

dy/dx = (y + 2x)/(1 - x)

Put x = -1 and y = 1 we get

dy/dx = (1 + 2(-1))/(1 - (-1))

dy/dx = -1/2

Hence, y = xy + x² + 1, then when x=-1,

dy/dx = -1/2

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3/4 + x = 2x — x + ?

Answers

Answer:

3/4

Step-by-step explanation:

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NEED HELP ASAP 50 POINTS PLEASE HELP: Evaluate the expression. {[(12−36)÷(−12)]2−20}÷(−4) What is the value of the expression?

Answers

Answer:

Step-by-step explanation:

The required simplified value of the given expression is 4.

Given that,
An expression is given, {[(12−36)÷(−12)]2−20}÷(−4 a simplified value of the expression is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Simplifying,
= {[(12−36)÷(−12)]2−20}÷(−4)
=[ [-24/-12]2-20] / - 4
=[4-20] / - 4
= -16/-4
= 4

Thus, the required simplified value of the given expression is 4.

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D = -38t + 220

Rachel is driving a race car at a constant speed on a closed course. The formula shown above describes the remaining distance, D, measured in meters, that Rachel has to travel after t seconds. What is Rachel's speed in meters per second?

Answers

Answer: 38 meters per second

Step-by-step explanation:

Rachel's speed is 38 m/s.

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:

D = -38t + 220

So, t = 1

D = -38t + 220

D = -38(1) + 220

D = -38+ 200

D = 182 m

So, v = [tex](D_0 - D_1)[/tex] / t

v = ( 220- 182) /1

v = 38 m/s

Hence, Rachel's speed is 38 m/s.

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8. In the figure ir 10. find value of 22 and 23.

Answers

Answer:

I am not sure what you're asking, but the other side of #2 should be the same degree/the missing one has the same degree as #2, just like how #3 is the same as #1 in degrees. if you plug in #1 + #2 you'd get 180 degrees, same thing with the #3 + the missing degree

Emily has a piggy bank that contains 30 coins in dimes and nickels. Their combined value is $2.10. How many coins of each kind are there?

Answers

Answer:

Step-by-step explanation:

Though we can divide this second equation by five and combine, let's multiply the first equation by five and subtract it from the second...

10d + 5n = 210

-(5d + 5n = 150)

and we get

5d = 60

d = 12 dimes

n = 30-12 = 18 nickels

The larger of two numbers is 5 more than the smaller. The smaller number plus the larger equals 100. Find the number.

Answers

Answer:

Smaller number-47.5

Larger number-52.5

Step-by-step explanation:

We will make the smaller number x. If the smaller number is x, then the larger number will be equal to x+5. We also know that when we add the two numbers, we get 100. We can make the equation

x+x+5=100

100-5=95

2x=95

95/2=47.5

x=47.5

The smaller number equals 47.5 and the larger number is 47.5+5 which equals 52.5

Fine the volume of the prism 5m 3m 3m

Answers

Answer:

Step-by-step explanation:

To find the volume of an object, we just have to multiply all of the side lengths together.

[tex]5*3*3=45[/tex]

[tex]V=45[/tex]

5 (3) 3 m (m) m = m cubed

15 (3)

45m³

Triangle abc is an isosceles triangle in which angle b = angle c and l and m are points on ab and ac respectively such that lm parallel to bc. If angle a = 50 degree find angle lmc

Answers

Answer:

∵ ABC is an isosceles triangle

∵ m∠b = m∠c

∴ m∠b and m∠c = 180 - m∠a/2

= 180 - 50/2

= 130 /2

= 65°

∵ ∠c and ∠AMI are corresponding angles

∵ m∠AMl = m∠c = 65° (1)

From (1)

∵ ∠AMC is striaght angle

∴ m∠IMC = 180 - m∠AMI

m∠IMC = 180 - 65

m∠IMC = 115°

Answer = 115°

Figure of your question in the attachment

how does the number line below represent the product of a positive number and a negative number? drag words and numbers to explain. each tile may be used once, more than once, or not at all

Answers

Answer: -1.5, negative, negative

Step-by-step explanation:

The first box: -1.5

The second box: negative

The third box: negative

The sum of 3 consecutive numbers is 41 less than five times the largest number. Find the largest number

Answers

x - 2 + x - 1 + x = 5x - 41 , x being the largest number. The largest number is 19.

AB=4cm BC =5cm CD =8cm .Calculate the area of rectangle BCDE

Answers

Step-by-step explanation:

1.2

area of triangle = ½ × base × height

so,

height = 5cm

base = 4cm

now,

→ 1/2 × 4 × 5

→ 2 × 5 = 10 cm²

therefore, area of the ∆AED is 10cm².

1.3

area of rectangle = l × b

length = 8cm

breadth/width = 5cm

now,

area of BCDE

→ 8 × 5 = 40 cm²

now,

area of,

→ ABCD = BCDE - ∆AED

→ ABCD = 40 - 10 = 30

therefore, required area of ABCD is 30cm².

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The graph of which inequality has its vertex at (2 1/2, 5)?
The correct answer to this is y>|2x-5|+5.
My question is where did the 2 1/2 come from in the vertex?

Answers

Answer:

77777

Step-by-step explanation:

In this case, the vertex is the lowest point of the V shaped curve.

The goal is to get the stuff inside the absolute value (the 2x-5) to be as small as possible, so we can get to the lowest point. In terms of absolute value, we want the 2x-5 to be equal to 0

This allows us to set up the equation below and solve for x.

2x-5 = 0

2x = 5

x = 5/2

x = (4+1)/2

x = 4/2 + 1/2

x = 2 + 1/2

x = 2 & 1/2

Let me know if this clears things up or not.

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Use point-slope form to write the equation of the line in slope-intercept form.
slope = -1 and passes through the point (-4, 10)

fill in the point-slope equation.

y - __= (x - __ )

Now write the equation in slope-intercept form. (y = mx + b)

Slope intercept Equation-

Answers

Answer:

y-10=-1(x+4)

y-10 = -1(x-(-4))

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

y = -x+6

Step-by-step explanation:

y - 10 = -1(x+4)

y - 10 = -x - 4

y = -x - 4 + 10

y = -x + 6

Which of the following shows the translation of K(3, 2) two units down?

Answers

(3,0) is 2 units down! Subtract 2 from y:)

A cube has edge length 11 inches. Write an expression for its volume and an expression for its
surface area.

Answers

Answer:

volume=1331inch^3

Surface area=726inch^2

Step-by-step explanation:

Answer:

Volume:11

=1331

Surfacearea:11

×6=726

20 divided by 4 1/2 help, i wil give brainlist if have the step by step

Answers

Answer:

40/9 or 4 4/9

Step-by-step explanation:

Help me I’ll give you five stars

Answers

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Note the bar above 1 means 1 is repeating , that is

0.111..

We require 2 equations with the repeating digit placed after the decimal point

let x = 0.111.... (1) Multiply both sides by 10

10x = 1.111... (2)

Subtract (1) from (2) thus eliminating the repeating digit

9x = 1 ( divide both sides by 9 )

x = [tex]\frac{1}{9}[/tex]

Answer:

that was the great answer its 1/10

A girl buys a monthly bus pass, which entitles her to unlimited bus travel, for $40 per month. Without the pass each bus ride costs $1.60. How many rides per month would she have to take so that the cost of the rides without the bus pass is equal to the total cost of the rides with the bus pass?
The number of rides at which the unlimited ride pass equals the cost of individual ride purchases is ?.

Answers

Answer: 25 Rides

Step-by-step explanation:

Forty (cost of pass per month) divided by 1.60 (Cost of rides) = 25 rides until the cost of the rides equals the price of the pass.

expand and simplify the following[tex](\sqrt{6} +\sqrt{3})(\sqrt{6}-\sqrt{3}) \\(\sqrt{5} -\sqrt{2} )(\sqrt{2} +\sqrt{5} )[/tex]

Answers

Answer:

30 - 6{sqrt15}

Step-by-step explanation:

Given the relation {(2, 3), (-2, 2), (1, 5), (0, -1)}, state the range!

A. {-1, 2, 3, 5}

B. {-2, 2, 0, 1}

C. {-2, 2, 5}

D. {-2, -1, 0, 1}

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Determine the domain and range of the given function:

y = –x4 + 4

This is just a garden-variety polynomial. There are no denominators (so no division-by-zero problems) and no radicals (so no square-root-of-a-negative problems). There are no problems with a polynomial. There are no values that I can't plug in for x. When I have a polynomial, the answer for the domain is always:

the domain is "all x".

The range will vary from polynomial to polynomial, and they probably won't even ask, but when they do, I look at the picture:

graph

The graph goes only as high as y = 4, but it will go as low as I like. Then:

The range is "all y ≤ 4".

HI, I NEED HELP WITH MATH KNOW ANY TUTORS?

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Answer:

no but I may be able to help with the problem make a question with the problem and a bunch of people will help and 8 times out of ten they will go e an explanation

MARKING BRAINLEIST IF YOUR ANSWER IS RIGHT!!

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The answer is:
1/10y

which table represents the graph below

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Answer: what table and what graph?

Step-by-step explanation:

Quick question: would the state of matter also be considered a subscript or not?

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The state of matter of each compound or molecule is indicated in subscript next to the compound by an abbreviation in parentheses. For example, a compound in the gas state would be indicated by (g), solid (s), liquid (l), and aqueous (aq).

8 divided by negative 2 times 4 to the 2 power + 9

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Answer:

-55

Step-by-step explanation:

What is the value of x in the figure? In this diagram

Answers

Answer: E, and F

Step-by-step explanation:

The correct answer is E and F

Yani buys 4 dozen flyers for $7.25. What is the cost for 12 dozen

Answers

$21.75

4x3=12

7.25x3=$21.75

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