A billiard ball bounces off the sides of a rectangular billiards table in such a way that 1= 23,
24 = 26, and Z3 and 24 are complementary. If m_1 = 27°, find the measure of all the other angles.
1
3
2
m/2 = =
4
m23 =
5
6
m24 =
m25 =
m26 =

Answer: it's 1200

Step-by-step explanation: please give me brainliest

400x3=1200

60x20=1200

Answer:

A)Josh

B)Mila

C) Amir

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

We can use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

The two legs are x and (x + 14) and the hypotenuse is (x + 16). Therefore:

[tex](x)^2+(x+14)^2=(x+16)^2[/tex]

Expand:

[tex]\displaystyle x^2+(x^2+28x+196)=x^2+32x+256[/tex]

Combine like terms:

[tex]2x^2+28x+196=x^2+32x+256[/tex]

Subtract the right from the left:

[tex](2x^2+28x+196)-(x^2+32x+256)=0[/tex]

Subtract:

[tex]x^2-4x-60=0[/tex]

Factor:

[tex](x-10)(x+4)=0[/tex]

Zero Product Property:

[tex]x-10=0\text{ or } x+4=0[/tex]

Solve:

[tex]\displaystyle x = 10 \text{ or } x = -4[/tex]

The x cannot be negative since a side cannot measure -4. So, our only answer is:

[tex]x=10[/tex]

So, the legs are 10 and 24 with the hypotenuse being 26.

Answer:

500

Step-by-step explanation:

Answer:

ldk and I'm jealous

Step-by-step explanation:

Thanks for the free points, and have a nice day! :)

Answer:

= 1 8 hope this helps!!! :)

Step-by-step explanation:

1 2 ⋅ −7 = 1 3 ( − 1 2 )

1 2 − 7 = 1 3 −1 2 )

1 2 − 7 = 1 3 − 1 2 )

Multiply by 1  

Combine multiplied terms into a single fraction  

Multiply by 1  

Add to both sides of the equation

Answer:

x = 3/2 = 1 1/2 = 1.5

Step-by-step explanation:

1/2 x -7=1/3(x-12)

Multiply 1/2 and -7 to get -7/2

-7/2 = 1/3(x-12)

Fraction -7/2 can be rewritten as -7/2 by extracting the negative sign.

- 7/2 = 1/3(x-12)

Use the distributive property to multiply 1/3 by x−12.

-7/2 = 1/3x + 1/3(-12)

Multiply 1/3 and −12 to get -12/3

-7/2 = 1/3x + -12/3

Divide −12 by 3 to get −4.

-7/2 = 1/3x + 4

Swap sides so that all variable terms are on the left hand side.

1/3x -4 = -7/2

Add 4 to both sides.

1/3x = -7/2 + 4

Convert 4 to fraction 8/2

1/3x = -7/2+8/2

Since -7/2 and 8/2 have the same denominator, add them by adding their numerators.

1/3x = -7+8/2

Add −7 and 8 to get 1.

1/3x = 1/2

Multiply both sides by 3, the reciprocal of 1/3

x = 1/2 x 3

Multiply 1/2 and 3 to get 3/2

x = 3/2

Answer:

a) P(  [tex]Y^{C}[/tex] | X ) = 0.180

b) P(Y | [tex]X^{C}[/tex]  ) = 0.998

Step-by-step explanation:

Let

P(X) - Probability that he acts hungry

P(Y) - Probability that he had ate dinner,

Given,

P(X | Y) = 0.5

P(X | [tex]Y^{C}[/tex]  ) = 0.99

P(Y) = 0.9

a.)

P(  [tex]Y^{C}[/tex] | X ) =  [tex]\frac{P( X | Y^{C} ). P(Y^{C} ) }{P( X | Y^{C} ). P(Y^{C} ) + P( X | Y ) . P (Y) }[/tex]

                  = [tex]\frac{(0.99)(0.1)}{(0.99)(0.1) + (0.5)(0.9)} = \frac{0.099}{0.549}[/tex] = 0.180

⇒P(  [tex]Y^{C}[/tex] | X ) = 0.180

b.)

P(Y | [tex]X^{C}[/tex]  ) = [tex]\frac{(1 - P(X | Y ) ) . P(Y)}{P( X^{C} ) } = \frac{(1 - P(X | Y ) ) . P(Y)}{ 1 - P( X ) }[/tex]

                 = [tex]\frac{(1 - 0.5)(0.9)}{1 - [(0.99)(0.1) + (0.5)(0.9) ]} = \frac{(0.5)(0.9)}{1 - [(0.099) + (0.45) ]} = \frac{0.45}{1 - [0.540]} = \frac{0.45}{0.451}[/tex] = 0.998

⇒P(Y | [tex]X^{C}[/tex]  ) = 0.998

Answer:

Sales tax:20%

Amount of tax:$60

Answer:

ggg

Step-by-step explanation:

gggggg

Answer:

B) x + 14 = 20

Step-by-step explanation:

The "X" is the change. And the change has to equal 20. So it would be 6 + 14, since thats the only number that equals 20.

Therefore, it is B) x + 14 = 20.

Answer:

3x + 2y = -4

Step-by-step explanation:

x intercept of the line occurs at y = 0

Given the equation 3x+2y = 6

3x+2(0) = 6

3x  = 6

x = 2

The x intercept is at (2, 0)

Adding -2 to each axis will give (2-2, 0-2) = (0, -2)

y intercept of the line occurs at x = 0

Given the equation 3x+2y = 6

3(0)+2y = 6

2y  = 6

y =3

The x intercept is at (0, 3)

Adding -2 to each axis will give (0-2, 3-2) = (-2, 1)

The new coordinates are (0, -2 and (-2, 1)

Using the point slope form of the equation y - y0 = m(x-x0)

slope m = y2-y1/x2-x1

m = 1-(-2)/-2-0

m = 1+2/-2

m = -3/2

Using m = -3/2 and (0, -2)

y - (-2) = -3/2(x-0)

y+2 = -3/2 x

2(y+2) = -3x

2y+4 = -3x

-3x-2y = 4

3x + 2y = -4

Hence the required equation is 3x + 2y = -4

Answer:

48 dollars.

Step-by-step explanation:

If you look up "40 percent off of 85" you'll get 48.

Answer:

$48

Step-by-step explanation:

First, you must get the original price (which is $85 in this case) and multiply 40% or convert it to 0.40. So if you multiplied 85 by 0.40 correctly you should get 34. Then you would subtract 34 from 85. So the answer would be $48. This is called a markdown

Answer:

3y=2y

Step-by-step explanation:

Im not sure if this is the answer your looking for but I hope this helped. I tried tho lol :)

Answer:

25% is the equivalent of 1/4

your answer would be 180 cubic inches which is option C

Answer:

<A = 62

Step-by-step explanation:

<A and <B add up to 90 degrees. Definition of Complementary.

<A + <B = 90

(6x - 4) + (x + 17) = 90

7x + 13 = 90

7x = 77

x = 11

<A = 6x - 4

<A = 6(11) - 4

<A = 66 - 4

<A = 62

Answer:

[tex]\displaystyle m=-2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-2, -1)

Point (-8, 11)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

as H=20 and W=10

So H=constant.(W)

H=2(10)

H=20

So constant is 2

Answer:

A.

If you graph them, the answer A will be inside of the shaded area.

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

No. Each side must be less than the sum of the remaining two sides.

10 ≮ 5+1

Answer:

The last choice (2,-2, 3)

Step-by-step explanation:

Reason is because just apply the coordinate plane to the bottom of the gray sheet. Then you have exact coordinates of G, because it is directly above C, and C is 2,-2,0, so G is 3 up, so that makes it 2, -2, 3.

Answer:

$194.54!!

Step-by-step explanation:

Answer:

65.18

Step-by-step explanation:

Answer: 196 inches

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

BODMAS

3(9)-12+2

27-12+2

27-10

17

Answer:

17

Step-by-step explanation:

You add what's inside the parenthesis, then rewrite the equation once more, (3)(9)-12+2, then you gotta multiply 3*9 which is 27. Rewrite the equation again, 27-12+2, then you must subtract 27 from 12 which is now 15. So now we're left with 2, 15+2 is 17. If it makes it any easier, think of this equation as losing friends and gaining friends, and now you're left with 17 now.