How can we investigate complementary and supplementary angles?

Answers

Answer 1

Step-by-step explanation:

Supplementary angles are two angles whose sum of the measurements is 180°. Complementary angles are two angles whose sum of the measurements is 90°. Once an angle relationship is identified, the relationship can be modeled with an equation that will find an unknown value.


Related Questions

which words have vertical symmetry for all of the letters in the word?

Answers

Answer:

palindromes

Step-by-step explanation:

palindromes are spelled the same forward and backward, thus have vertical symmetry.

what is the distance between 3,0 and 6,-13

Answers

Answer:

√178

Step-by-step explanation:

Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

Simply plug in your coordinates into the distance formula to find the distance between them.

PLEASE SOMEONE HELP ! X

Answers

Answer:

When x=-3 ,  y= -16

when x=-2 , y= -10

when x=-1 , y= -6

when x=0 , y=-4

when x=1 y=-2

when x=2, y= 2

when x= 3, y= 8

Step-by-step explanation:

Equation: y= x^2+x-4

All you have to do is plug in the values of x given in the table inorder to find the y values.

Answer:

When x=-3 ,  y= -16

when x=-2 , y= -10

when x=-1 , y= -6

when x=0 , y=-4

when x=1 y=-2

when x=2, y= 2

when x= 3, y= 8

Just plug in each x value to the equation

!! 25 points !! Find x. Do not round your answer.​

Answers

Answer:

12

Step-by-step explanation:

X=12

Because chords are the same size

Answer:16.6 is the correct answer.

Step-by-step explanation:

what is the answer of this attachment:

Answers

Answer:

(B) 2

Step-by-step explanation:

=> [tex]\frac{\sqrt{32}+ \sqrt{48} }{\sqrt{8}+\sqrt{12} }[/tex]

=> [tex]\frac{4\sqrt{2}+4\sqrt{3} }{2\sqrt{2}+2\sqrt{3} }[/tex]

=> [tex]\frac{4(\sqrt{2}+\sqrt{3}) }{2(\sqrt{2}+\sqrt{3)} }[/tex]

Cancelling [tex]\sqrt{2}+\sqrt{3}[/tex]

=> [tex]\frac{4}{2}[/tex]

=> 2

The area of a rectangle, A = l • w is represented by the expression 24x6y15. Which could be the dimensions of the rectangle?

Answers

Answer:

l=[tex]24\*x^{6}[/tex]

w=[tex]y^{15}[/tex]

Step-by-step explanation:

We know that the area of rectangle can be determined by the multiply the length to the width i.e

A = l • w..................Eq(1)

Here A represented the area .

l=  Length of rectangle

w= Width of rectangle

Here A= [tex]24x^{6} y^{15}[/tex]...

It can be written as [tex]A= 24x^{6} \ *y^{15}[/tex]..............Eq(2)

Comparing the Eq(2) to the Eq(1)

[tex]l=24x^{6}\\ w=y^{15}[/tex]

Answer:

the right answer A. 2x^5y^8 and 12xy^7

Step-by-step explanation:

Fine the value of X

Answers

Answer:

30

Step-by-step explanation:

60/40=3/2

105/40+x = 3/2

105/70=3/2

x=70-40 = 30

Answer:

x = 30

Step-by-step explanation:

60/40 = 45/x

Cross multiply.

60x = 40 × 45

60x = 1800

Divide both sides by 60.

x = 1800/60

x = 30

The directed line segment from L to N has endpoints L(–6, 2) and N(5, –3). What are the x- and y-coordinates of point M, which partitions the directed line segment into the ratio 2:5?

Answers

Answer:

the answer is -6, 2

Step-by-step explanation:

Answer:

the answer is -6, 2

Step-by-step explanation:

Answer:

ANSWER

x =  { - 20}{7}

y={ 4}{7}

Step-by-step explanation:

Please help me I've been stuck on this for a bit

Answers

Answer:

A=1.5 units²

Step-by-step explanation:

a²+b²=c²

2.5²+1.5²=c²

a²+2.25=6.25

a²=4.00

a=2

A=1/2 x b x h

A=1/2 x 1.5 x 2

A=1.5 units²

Answer:

1.5

Step-by-step explanation:

Use the pythagorean theorem.  a^2+b^2=c^2.  a and b are the legs, or the shorter sides of the triangle.  If you don't know which ones are shorter, just know that c is opposite of the right angle which is 2.5 in this case.  So c is 2.5 and a is 1.5.  Now you plug the values into the equation

1.5^2+b^2=2.5^2

2.25+b^2= 6.25 .Simplify the equation

b^2= 4 .Subtract 2.25 from both sides.

b= 2.  Square root both sides.  

Based on the picture, a is the base and b is the height.  The area of a triangle is 1/2(bh) .You already know the base and height you you plug it in again

1/2(1.5*2)= 1/2(3)= 1.5  

What transformations was not done to the linear parent function, f(x)=x to get the function g(x)=-1/3(x-7)+2?

Answers

Answer:

Step-by-step explanation:

Consider that by changing the the variable x with x-c represents a horizontal shift of c units. If c>0 then it is a right shift and it is a left shift otherwise. When we multiply the variable by a number d (i.e dx) we are applying an horizontal compression/stretching. If d>1 it compresses it, and if 0<d<1 it stretches it. By multipyling the variable x by a negative sign, we are reflecting with respect the x -axis. Finally when we add a number to the function, we are applying a vertical shift.

original function x.

1. (x-7): horizontal shift of 7 units to the right.

2. 1/3(x-7): Horizontal stretching by factor 1/3.

3.-1/3(x-7): Reflection with respect the x-axis

4.-1/3(x-7)+2: Vertical shift of two units up.

What is the equation that is perpendicular to the line y=2x-3 and passes through the point (-6,5)? Show all of your work. y = 2x + 17 y = 1/2x + 8 y = -2x - 7 y = -1/2x + 2

Answers

Answer:

y = -1/2x + 2

Step-by-step explanation:

If two lines are perpendicular then the product of their slopes are -1

m1*m2 = -1

where m1 amd m2 is slope of two lines.

_______________________________________

Given line

y = 2x-3\

it is in form of y = mx+c (slope intercept form)

where m is slope and c is y intercept

Thus, slope of line  y = 2x-3 is 2

Now we know that product of two lines are -1

let m be slope of other line

then m*2 = -1

m = -1/2

thus, slope of required line is -1/2

let the line be y = mx+c but m = -1/2

thus

y = -1/2 x + c

given that point(-6,5) lies on it

we use -6 in plca of x and 5 in place of y

5 = -1/2 *-6 + c

=>5 = 3 +c

=> c = 5-3 = 2

Thus, equation that is perpendicular to the line y=2x-3 and passes through the point (-6,5) is y = -1/2x + 2

The Naturally Made Bath and Body store pays $550 a month for rent and utilities. The average cost for its products to be manufactured is about $3.00 an item. If the average price for a product sold in the store is $5.50, what will the break-even point be? Let x represent the number of products sold. The break-even point occurs when the cost function equals the revenue function. 550 + 3.00x = 5.50x Naturally Made needs to sell products to break even. The cost or revenue when it sells the break-even number of products will be $

Answers

Answer:

220 products need to be sold to break it even.

Step-by-step explanation:

550 + 3.00x = 5.50x

550 = 2.50x

220 = x

you need 220 products

N(x) = -3(x - 2)2 + 60,
Plot the axis of symmetry and the vertex for this function

Answers

Answer:

Step-by-step explanation:

Really need help :( struggling

Answers

Answer:

B

Step-by-step explanation:

The original amount will be the coefficient of (1 + 0.04)^r which is $728.00.

The expression below is a sum of cubes.
64x3 + 125
O A. True
O B. False

Answers

Answer:

true it's A....

Answer:

A

Step-by-step explanation:

64x³ + 125

∛(64x³ + 125)

= 4x + 5

The expression is a sum of cubes.

Solve for x h(x)=−7x ; h(x)=63

Answers

Answer:

x = -9

Step-by-step explanation:

-7x = 63

Divide -7 into both sides.

-7x/-7 = 63/-7

x = 63/-7

x = -9

Put x as -9 in the function to check.

h(x) = -7x

h(-9) = -7(-9)

h(-9) = 63

Answer:

x = -9

Step-by-step explanation:

h(x)=−7x ; h(x)=63

Set the two equal

-7x = 63

Divide by -7

-7x/-7 = 63/-7

x = -9

9p + 8 Math fraction

Answers

Answer:

17p

Step-by-step explanation:

9p+8p=17p

Order The numbers from least to greatest

0.453, 0.35, 4/5

Answers

Answer:

Step-by-step explanation:

0.35

0.453

4/5

The profit ,P dollars, earned by students at a high school selling boxes of chocolates is approximated to be P= -60x^2+600x , where x dollars is the selling price of one box of chocolates. What selling price gives the maximum profit?

Answers

Answer:

Selling price of 5 gives the maximum profit

Step-by-step explanation:

What we do here is to find the first derivative, since at maximum points, the profit will be set to zero.

Mathematically, we have;

dp/dx = -120x + 600

We now equate this to zero

0 = -120x + 600

120x = 600

x = 600/120

x = 5

What is the center of a circle represented by the equation (x+9Mrs. Culland is finding the center of a circle whose equation is x2 + y2 + 6x + 4y – 3 = 0 by completing the square. Her work is shown.

x2 + y2 + 6x + 4y – 3 = 0

x2 + 6x + y2 + 4y – 3 = 0

(x2 + 6x) + (y2 + 4y) = 3

(x2 + 6x + 9) + (y2 + 4y + 4) = 3 + 9 + 4)2+(y−6)2=102?

Answers

Answer:

The center of the circle is at  the point (-3, -2) on the plane

Step-by-step explanation:

The first four steps in the completing of the squares to find the standard equation of a circle are correct. Let's start from there and actually complete the squares correctly:

[tex](x^2+6\,x+9)+(y^2+4\,y+4)=3+9+4\\(x+3)^2+(y+2)^2=16\\(x+3)^2+(y+2)^2=4^2[/tex]

Therefore, this is a circle centered at x = -3 [based on the horizontal translation defined by (x+3)], and at y = -2 [based on the vertical translation defined by (y+2)], and the circle has radius 4 based on the numerical constant squared on the right side of the equal sign.

Un grup de ciclistes han de fer una excursió a una casa rural que es troba a 72 quilòmetres del seu poble. El primer dia recorren 2/3 del camí. El segon dia recorren 1/4 del camí i el tercer dia arriben a la casa rural. Calcula els quilòmetres que recorren cada dia.

Answers

Answer:

29.76 milles

11.16 milles

44.64 milles

Step-by-step explanation:

Van haver de fer una excursió a una casa rural que està a 72 quilòmetres del seu poble.

El primer dia viatgen 2/3 de camí. Aquest dia, van viatjar:

2/3 * 72 = 48 quilòmetres

En el segon dia viatgen 1/4 de camí. Aquest dia, van viatjar:

1/4 * 72 = 18 quilòmetres

A el tercer dia arriben a la casa de camp. Aquest dia, van viatjar 72 quilòmetres.

Hem de convertir cada un d'ells en milles.

1 km = 0.62 milles

El primer dia:

48 km = 0.62 * 48 = 29.76 milles

El segon dia:

18 km = 0.62 * 18 = 11.16 milles

El tercer dia:

72 km = 0.62 * 72 = 44.64 milles

Calculate the volume in litres of the cuboid shown above ​

Answers

Answer:

0.06 l

Step-by-step explanation:

Volume of cube = 3 x 4 x 5 = 60 cm cubed.

1 cm cubed = 0.001 liters

So 60 cm cubed = 0.06 liters.

Hope this helps

Which recursive formula can be used to represent the sequence
2, 6, 10, 14, 18,... ?

Answers

Answer:

We know that a₁ = 2 and that you have to add 4 to the previous term to get the term you are looking for so the answer is:

a₁ = 2

aₙ = aₙ₋₁ + 4

Square OABC is drawn on a centimetre grid. O is (0,0) A is (2,0) B is (2,2) C is (0,2) Write down how many invariant points there are on the perimeter of the square when OABC is rotated 90 degrees clockwise, centre (2,0).

Answers

Answer:

One invariant point;

Point A = (2, 0)

Step-by-step explanation:

The coordinates of the square vertices are;

O = (0, 0)

A = (2, 0)

B = (2, 2)

C = (0, 2)

Therefore, we have by 90° clockwise rotation;

O' = (2, 2)

A' = (2, 0)

B' = (4, 0)

C' = (2, 4)

Therefore, since only A' (2, 0) = A (2, 0), we have only one invariant point on the perimeter of the square when it is rotated 90° about the center (2, 0) which is the point A = (2, 0).

Joel rides his bicycle 250m towards north to meet his friend Jim. From there he bicycles 450m south along the same road. What integer will represent his final position from his house?

Answers

Answer:

He is 200 meters south of his house.

Step-by-step explanation:

Say north is positive and south is negative, but your answer will be the absolute value. He goes 250m North. He then goes 450m south which would translate into a problem as 250-450=|-200|=200. In simpler terms think of the road as a number line where north is positive and south is negative and your house is zero, you want the distance on the line from zero.

Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paula shovel in 1 minute than Melinda?

Answers

Answer:

3 more square feet.

Step-by-step explanation:

x = The amount Melinda can shovel in 1 minute

y = The amount Paula can shovel in 1 minute

So make two equations:

30(x + y) = 450       x + y = 15       x = 15 - y

20x + 25y = 345     4x + 5y = 69

Plug in:

4(15 - y) + 5y = 69

60 - 4y + 5y = 69

y = 9

x = 6

9 - 6 = 3

Answer:

Answer is A

Step-by-step explanation:

Took it on Edg.

Please help ! I don’t understand:((

Answers

Answer:

B

Step-by-step explanation:

sorry if im wrong but i used desmos next time its graphing use desmos

I need to write the equation of the line in slope intercept form

Answers

Answer:

y = 2x + 5

Step-by-step explanation:

Step 1: Find slope

m = (3-1)/(-1+2) = 2

Step 2: Find y-intercept

(0, 5)

Step 3: Write in slope-intercept form

y = mx + b

y = 2x + 5

And we have your answer!

Answer:

y = 2x + 5

Step-by-step explanation:

We can see the point (-1, 3) and the y-intercept (0, 5). Slope intercept form is y = mx+b, where m is the slope and b is the y-intercept. With this, we know that b = 5. We can plug in the point (-1, 3) with -1 as x and 3 as y to find m. Doing so gives us 3 = -1m+5. This simplifies to -1m = -2, and m = 2. We can now plug in m to get the equation y = 2x + 5.

8 Shadi has four bottles
The bottles hold 650 ml, 38 L 5020 ml and 0.045 L
Shadi want to use the bottle that holds closest to litre
Which bottle should be use? Show your working​

Answers

Answer:

650 ml

Step-by-step explanation:

1 ml = 0.001 L

650 ml = .65 L

38 L = 38 L

5020 ml = 5.02 L

0.045 L = 0.045 L

If Shadi wants to use the one closest to 1 L then she would use the 650 ml bottle

Rewrite the set D by listing its elements. Make sure to use the appropriate set notation.
D= {y | y is an integer and -2

Answers

Step-by-step explanation:

D=Y/Y IS AN INTEGER AND -2

Answer:

{-2}

Step-by-step explanation:

The element in the set will be:

D = {-2}

The given form of the set is a set-builder notation form.

=> Here, It's written that y is an integer and is exactly -2 and nothing else at all.

So, the set becomes:

=> D = {-2}

Other Questions
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I wrapped myself in a floor-covering and slept infront of the fire-I was very tired.-"By the Waters of Babylon,"Vincent BenetO The narrator responds to his fear by staying in thebig room to learn more.The narrator responds to the conflict by killing thedogs with the bow and arrow from his father.The narrator responds to his conflict with the spiritsby using magic to defeat them.The narrator responds to his fear by burning downthe house of the gods, showing that he is no longerafraid. The wheels of a car are of radius 40cm each, if the car is travelling at a speed of 66km/h, find the number of revolutions made by each wheel in 20 minutes Match the condensed structural diagrams with the correct names I. CH3-CH2-COOHII. CH3-CH2-OHIII. CH3-COO-CH2-CH3IV. CH2OH-CH2-CH3V. CHOO-CH3VI. CH3-COOH46. Ethanol47. Propyl ethanoate 48. Propan 1-Ol49. Propanoic acid 50. Ethanoic acid 51. 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