Given that CB is tangent to A at C, then the value of X is

The expression for the 12 more than half of the postcard will be written as:- P/2+12=P

The expression is defined as the relationship between the numbers and variables and is arranged in the form of an equation.

here we have the words in the question to convert it into an expression that is 12 more than half of the postcard.

The expression will be written as:-

P/2+12=P

Hence expression for the 12 more than half of the postcard will be written as:- P/2+12=P

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By completing squares, we will see that the center of the given circle is at (-3, -2).

The general circle equation centered on (a, b) of radius R is:

[tex](x - a)^2 + (y - b)^2 = R^2[/tex]

In this case, our equation is:

[tex]x^2 + y^2 + 6x + 4y - 3 = 0[/tex]

First, we need to complete squares, we will have:

[tex]x^2 + 2*3*x + y^2 + 2*2*y - 3 = 0\\\\x^2 + 2*3*x + (9 - 9) + y^2 + 2*2*y + (4 - 4) - 3 = 0\\\\(x^2 + 2*3*x + 9) - 9 + (y^2 + 2*2*y + 4) - 4 - 3 = 0\\\\(x + 3)^2 + (y + 2)^2 = 3 + 9 + 4 = 16[/tex]

Then, by looking at the left side, we can see that the center of the circle is (-3, -2).

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Answer:

d

Step-by-step explanation:

got it right on edge

Answer:

3.5 i think

Step-by-step explanation:

r=(3V

4π)⅓=(3·180

4·π)⅓≈3.50263

Answer:

0.179 is the answer yw btw tell me if it's right !!

Answer:

A) [tex]4\cos^2\theta=3[/tex]

B) [tex]81\tan^2\theta=27[/tex]

Step-by-step explanation:

[tex]\displaystyle 2\sin\theta+1=0;\:90^\circ \leq\theta\leq 270^\circ\\\\2\sin\theta=1\\\\\sin\theta=\frac{1}{2}\\ \\\theta=\frac{5\pi}{6}[/tex]

[tex]\displaystyle 4\cos^2\theta=4\cos^2\biggr(\frac{5\pi}{6}\biggr)=4\biggr(-\frac{\sqrt{3}}{2}\biggr)^2=4\biggr(\frac{3}{4}\biggr)=3[/tex]

[tex]\displaystyle 81\tan^2\theta=81\tan^2\biggr(\frac{5\pi}{6}\biggr)=81\biggr(-\frac{\sqrt{3}}{3}\biggr)^2=81\biggr(\frac{3}{9}\biggr)=81\biggr(\frac{1}{3}\biggr)=\frac{81}{3}=27[/tex]

Answer:

see explanation

Step-by-step explanation:

an arc of a circle is equal to the central angle subtended by the arc

central angle of arc ED = 50° ( vertically opposite angles )

then

arc ED = 50°

the central angle of arc BC = 180° - 40° - 50° = 180° - 90° = 90°

then

arc BC = 90°

the central angle subtended by arc AE = 180° - 50° = 130°

then arc AE = 130°

arc BED = arc BA + arc AE + arc ED = 50° + 130° + 50° = 230°

Answer:

1. AE= 312

2. AC = 161

Step-by-step explanation:

Hey there!

In order to solve the first question, we need to think of possible "C" values

Then after finding the "C" value, we can then find the "A" and "E" values

So:

AC = 24 and CE = 13

What factors do 24 and 13 have in common?

Well, only 1 since 13 is a prime number]

So this means that C has to be 1

Now we know that A is 24 and E is 13

Now we have to multiply them together

24 x 13 is 312

So AE= 312

Now we go on to the second question

We can use the same strategy we used for number one

Instead of finding what C is, we need to find out what E is, since there is E in both of the statements

So:

CE = 7 and AE = 23

What common factors do these two numbers have?

Again, only 1, meaning that E can only be 1

Now we know that C is 7 and A is 23

Since we know this, we can multiply these two numbers together and get our final answer: 161

So AC = 161

Answer:

K = 3D + 6

Step-by-step explanation:

Let Mr Kim's age be denoted by K and his daughter by D.

It states that :

Then the expression will be :

There were _22_ cars in the first train, _24_ cars in the second train, and _26_ cars in the third train

We know that the trains have 418, 456, and 494 seats. And are made of the same train cars, so the number of seats on each train car is a common factor of 418, 456 and 494.

We also know that no train car has more than 25 seats.

First, let's decompose the given numbers as a product of prime numbers:

418 = 2*11*19

456 = 2*2*2*3*19

494 = 2*13*19

As you can see, the factors 2 and 19 appear in the 3 numbers, 19 is the largest one that is also smaller than 25, so we conclude that each train car has 19 seats.

Then:

The first train, which has 418 seats, has:

418/19 = 22 train cars.

The second train has 456 seats, so it has:

456/19 = 24 train cars

The third train has 494 seats, so it has:

494/19 = 26 train cars.

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Answer:

7.5 units

Step-by-step explanation:

since the y- coordinates of the points are equal, then the distance between them is the absolute value of the difference in the x- coordinates.

distance = | - 2.5 - 5 | = | - 7.5 | = 7.5

or

distance = | 5 - (- 2.5) | = | 5 + 2.5 | = | 7.5 | = 7.5

Answer:

The school will have 535 books.

Step-by-step explanation:

12 books a month * 5 months = 60 additional books.

60 + 475 = 535 books.

Answer:

535

Step-by-step explanation:

12*5 = 60

475 + 60 = 535

\HOPE THIS HELPS

Answer:

C. 24

Step-by-step explanation:

Answer:

it will be figure 3

Step-by-step explanation:

it is the odd one of them, with inner concave

Answer:

area is 630

we can multiply 2 1 by 21= 63 by 10=630

Quotient means we have to divide

Here

So

Divide

or

9/C

Answer:

[tex]\sf \dfrac{9}{C}[/tex]

Step-by-step explanation:

A quotient is produced by dividing two numbers.

"The quotient of a and b" means "a divided by b".  So the first number "a" is the numerator, and the second number "b" is the denominator of a fraction.

Therefore, "the quotient of 9 and C" is:

[tex]\sf \dfrac{9}{C}[/tex]

Answer:

c obtuse angle

Step-by-step explanation:

Answer: C, Obtuse Angle

Step-by-step explanation: A right angle is an angle with 90 degrees, which this is not.

An acute angle is an angle with LESS than 90 degrees, which is also incorrect.

An obtuse angle is an angle with MORE than 90 degrees, which is correct because the angle is more than 90 degrees.

A straight angle is just a straight line, which this angle is not.

The congruent parts of the triangle are:

<A ≅ < Y

< B ≅ <Z

< C≅ <X

AB ≅ YZ

AC ≅ YX

BC ≅ ZX

]ABC ≅ YZX

The shape in the image are right angle triangles. A right angle triangle is a triangle that has three sides and a right angle. Congruent triangles are triangles that have the same size and the angles.

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Answer:

[tex]x_1=-2,\: x_2=7[/tex]

Step-by-step explanation:

[tex]x(x-5)=14\\\\x^2-5x=14\\\\x^2-5x+(\frac{-5}{2})^2 =14+(\frac{-5}{2})^2\\\\x^2-5x+\frac{25}{4}=14+\frac{25}{4}\\\\x^2-5x+\frac{25}{4}=\frac{81}{4}\\ \\(x-\frac{5}{2})^2=\frac{81}{4}\\ \\x-\frac{5}{2}=\pm\frac{9}{2}\\ \\x=\frac{5}{2}\pm\frac{9}{2}\\ \\x_1=-2,\: x_2=7[/tex]

Answer:

The polynomial f(x) = x^2 - 8x - 20

Answer:

scale factor = 2.5

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, polygon P to N

scale factor = [tex]\frac{20}{8}[/tex] = 2.5

Answer:

See below

Step-by-step explanation:

IN a right triangle , remember  S-O-H-C-A-H-T-O-A   <===memorize this!

sin z = O/H = opposite side/hypotenuse = 16/20

cos z = A/H = adjacent / hy[potenuse = 12/20

tan z  = O/A = 16/12

Answer: Heyaa!! ~

Your Answer is... 1/m^8 which is the b or the second answer!

Step-by-step explanation:

Simplify the expression.

Hopefully this helps you!

-Matthew ^^

Answer:

20!

Step-by-step explanation:

Did the test and got it correct!

Answer:

t=0.9

Step-by-step explanation:

Answer:

0.6??

Step-by-step explanation:

Im not exact, im guessing 0.6> This is because

8 pizzas = one box (large box small etc..)

Dived 8 by 12. Get annswer 0.6666666666....

Roudn to nearest hundreth.

New answer = 0.6

Answer:

A) 99.5%

B) 42.1%

Step-by-step explanation:

A) Since the probability of 3 sixes is 0.5%, the probability of less than 3 sixes (that is, zero, one, or two sixes) is 100% - 0.5%, or 99.5%

B ) Since the probability of no sixes is 57.9%, the probability of at least 1 six is 100% - 57.9%, or 42.1%

Answer:

(x + 16)° = 141°

Step-by-step explanation: