What is the image of the point (8,5) after a rotation of 180 counterclockwise about the origin?

Answer:

See below

Step-by-step explanation:

(7x +3) is the same as angle opposite B

So 7x+3 will equal 103 degrees.

To figure out angle ACB we just take a straight line (180 degrees) and minue 103, which gives us 77 degrees

ACB = 77 degrees

Now we will just isolate x so we can figure out it's value for angle CAB

7x = 103 - 3

7x = 100

x = 100/7

x = roughly 14.3

CAB = 3x - 10 = (14.3 * 3) - 10

= 43 - 10

CAB = 33 degrees

The measure of ∠CAB is 43°.

The measure of ∠ACB  is 80°.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

From the figure,

ΔABC

∠A + ∠B + ∠C = 180 ______(A)

And,

∠C = 7x + 3 [ alternate angles ] _____(1)

∠B = 180 - 103 = 77 [ straight angle ] _____(2)

∠A = 3x - 10 _____(3)

Substituting (1), (2), and (3) in (A).

∠A + ∠B + ∠C = 180

7x + 3 + 77 + 3x - 10 = 180

10x + 80 - 10 = 180

10x + 70 = 180

10x = 180 - 70

10x = 110

x = 110/10

x = 11

Now,

∠CAB = 3x + 10

∠ACB = 7x + 3 [ alternate angle with (7x + 3)

Substituting x = 11.

∠CAB = 3 x 11 + 10 = 33 + 10 = 43

∠ACB = 7 x 11 + 3  = 77 + 3 = 80

Thus,

∠CAB = 43

∠ACB = 80

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Answer:

-8±√17 and -8±6√2

Step-by-step explanation:

1. x+16/x=4, x^2+16-4x=0. x=-8±√17

2. x+16/x=8, x^2+16-8=0. x=-8±6√2

Answer:

31.25% chance

Step-by-step explanation:

if this is right can i have brainliest

Answer:

its a 31.25% probability

Step-by-step explanation:

add the 3 numbers together, round and find the common number

it's 32 so convert this to percent and it's 31.25%

For an easier way:

Find the most common number between the 3 and find its least common multiples then round to the nearest hundredth

hope this helps too!

Answer:

77

Step-by-step explanation:

the dog ate half so there is only the other half left and there is 43 cards left

1 half + 1 half = 1 whole so 43 + 43 = 86
86 is the total after he bought 9 new cards

86 - 9 = 77

Answer:

-80x + 24 (A)

Step-by-step explanation:

To solve this, we need to break the brackets. This is done by multiplying -8 to 10x and -3 to give us our final answer of -80x + 24.

So, the answer is A.

All the possible values for the number are [tex]x=2+2i\sqrt{3}[/tex] and [tex]x=2-2i\sqrt{3}[/tex].

Given that, a number plus 16 times its reciprocal equals 4.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Let the unknown number be x.

Now, the equation is [tex]x+\frac{16}{x}=4[/tex]

[tex]\frac{x^2+6}{x}=4[/tex]

[tex]x^2+16=4x[/tex]

[tex]x^2-4x+16=0[/tex]

By comparing [tex]x^2-4x+16=0[/tex] with [tex]ax^2+bx+c=0[/tex], we get a=1, b=-4 and c=16.

Substitute these values in quadratic formula [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex], we get

[tex]x=\frac{4\pm\sqrt{(-4)^2-4\times1\times16} }{2\times1}[/tex]

[tex]x=\frac{4\pm\sqrt{-48} }{2}[/tex]

[tex]x=\frac{4\pm4i\sqrt{3} }{2}[/tex]

[tex]x=2+2i\sqrt{3}[/tex] and [tex]x=2-2i\sqrt{3}[/tex]

Therefore, all the possible values for the number are [tex]x=2+2i\sqrt{3}[/tex] and [tex]x=2-2i\sqrt{3}[/tex].

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Answer:

attached

Step-by-step explanation:

Hope u understand

Answer:

question 1 is 8 5/8

Step-by-step explanation:

2 7/8 times 3 is 69 eighths and reduce that and it becomes 8 5/8.

brainliest?

Answer:

15.84 oz

Step-by-step explanation:

18 X 0.12 = 2.16

18 - 2.16 = 15.84

15.84 oz

PLEASE MARK BRAINLIEST!

Have a great day!

Answer:

4

Step-by-step explanation:

2 3-8/4

Answer:

See below.

Step-by-step explanation:

2x-8/y

2(3)-8/4

6-8/4

6-2

4

-hope it helps

Answer:

B) m=15.50h

Step-by-step explanation:

77.50 ÷ 5 = 15.50

279 ÷ 18 = 15.50

Randy makes $15.50 per hour.

Answer:

glass A holds more

the glass holds 39.8 cubic centimeters more than the other glass

Step-by-step explanation:

1. π x 4 to the power of 2 x 8/3 = 134.0412866

2. π x 3 to the power of 2 x 10/3 = 94.24777961

3. 134.0412866 - 94.24777961 = 39.79350699

4. 39.79350699 rounded to the nearest tenth is 39.8

Glass A holds more liquid and the glass hold 40 cm³ more liquid than glass B.

The study of geometric figure calculation and its parameters, such as area, length, volume, lateral surface area, surface area, and so on, is known as mensuration. It discusses all of the essential equations and properties of various geometric shapes and figures, as well as the fundamentals of calculation.

Given two glass and the inside of each glass is shaped like a cone

for glass A, height  = 8 cm and radius = 4 cm

for glass B,  height = 10cm and radius = 3 cm

to find the capacity of both glasses we need to find the volume of the both glass

volume of cone =  V=1/3hπr², where h = height and r = radius

volume of glass A = 1/3 x 8 x π x 4²

volume of glass A = 133.97 cm³

volume of glass B = 1/3 x 10 x π x 3²

volume of glass B = 94.2 cm³

volume of A - volume of glass B = 133.97 - 94.2 = 39.77 cm³

Hence the volume of glass A is more then Glass B so glass A contain more liquid than glass B and the glass holds 40 cubic centimeters (nearest tenth) more than the other glass.

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Answer:

y = 8x + 6

Step-by-step explanation:

Substitute the numbers for the variables and that should be your answer!

I hope it helps! Have a great day!

Muffin ^^

Answer:

y = 8x + 6

Step-by-step explanation:

Your answer would be y = 8x + 6

I hope it helps! Have a good day!

Bee~

Step-by-step explanation:

x + 3y = 9

-2x + 2y = 6

2x + 6y = 18

-2x + 2y = 6

0 + 8y = 24

8y = 24

y = 3

x + 3y = 9

x + 3(3) = 9

x + 9 = 0

x = 0

x = 0

x = 0y = 3

Answer:

x = 0y = 3

Step-by-step explanation:

Trying to answer 25 questions, and now you can give the other person brainliest :)

Answer:

13

Step-by-step explanation:

13 because first you do 6-3 which equals 3 then you do 18 / 3 because of PEMDAS so you get 6 the you add 7 by 6 which equals 13!

Please mark brainliest if this helped.

Answer:

13

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

upside down t

Answer:

Two and one eight inches

Step-by-step explanation:

I had this question before not really sure how to explain it its been a long time

Answer:

43 unit²

Step-by-step explanation:

Sorry for the bad handwriting ;-;

Answer:

Try D it Makes the most scene

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Answer: The net change would be -2.

Step-by-step explanation: The upward change of elevator is represented by positive sign while the downward change represented by negative sign.

Given, First the elevator goes up 15 floors, change = + 15, Then it goes 9 floors down, change = -9, Then it goes 11 floors up,Change = + 11, Finally, it goes 19 floor down, Change = - 19 So, the net change = sum of total changes = 15 - 9 + 11 - 19 = -2

your welcome!

Answer:

F=140

Step-by-step explanation:

Remember that all angles will be able to add to 720 so you should get something like this:

130+120+110+x-20+x-60+x-40=720      

Then solve for x to do this:

130+120+110+x-20+x-60+x-40=720

360-120+3x=720

3x+240=720

3x=480

x=480/3

x=160

With x=160, you can plug in to solve and find that F=140

14

You need to find all the people who read more than three hours. More than three hours would mean people who read more than 4, 5, or 6 hours. Since the number of people who read 4 hours is 6 dots and 5 hours are 3 dots, we add them together.

6+3

= 9

Since the number of people who read 6 hours is 5, we also add that.

9+5

= 14

Answer:

14

Step-by-step explanation:

More than 3 hours would be 4 hours and 5 hours and 6 hours.

So sum the number of dots above the numbers 4, 5 and 6:

6 + 3 + 5 = 14

Answer: See below

Step-by-step explanation:

a) 6(3x+4y-8)

Use the distributive property:

6*3x + 6*4y - 6*8

18x + 24y - 48

So D is the correct answer

b) Factor out 4 because it can fit into 12 - 3 times - and 4 - one time.

12+4x

= 4(3+x)

So D is the correct answer

c) When you expand both C and D and simplify, you get 16x+36 as solution

d) 14x+2y+10z

Factor out 2 because it can fit into 14, 7 times. 2, one time. And 10, 5 times

14x+2y+10z

= 2(7x+y+5z)

So D is the correct answer again ;)

Answer:

18x+24y-48,

4(3+x),

x(16+36), 2(8x=18), 4(4x+9)

2(7x+y+5)

Step-by-step explanation:

I'll explain later if you want

Answer:

Im so sorry bro.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Divide 168 by 2 to get 84, then divide 168 by 84 to get 2, now we can divide 231 by 84 to get our answer B.

Answer:

286

Step-by-step explanation:

The equation for Area of Trapezoid is:

[tex]Atrapezoid = \frac{h(b1+b2)}{2}[/tex]

First, replace the variables with their values:

h=13

b1=15

b2=(7+7)+15=29

Now, your equation should look like this:

[tex]Atrapezoid = \frac{13(15+29)}{2}[/tex]

Now, solve:

[tex]15+29=44[/tex]

↓

[tex]\frac{13(44)}{2}[/tex]

↓

[tex]44*13=572[/tex]

↓

[tex]\frac{572}{2}=286[/tex]

The area of the trapezoid is 286.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

-[tex]Kallmekris[/tex]