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Answer:

x = 15, AC = 25

Step-by-step explanation:

Given a tangent and a secant from a external point to a circle, then

The product of the external part and the whole of the secant is equal to the square of the tangent.

(9)

12(12 + x) = 18² = 324 ( divide both sides by 12 )

12 + x = 27 ( subtract 12 from both sides )

x = 15

(10)

9(9 + 3x + 1) = 15²

9(3x + 10) = 225 ( divide both sides by 9 )

3x + 10 = 25 ( subtract 10 from both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Then

AC = 3x + 10 = 3(5) + 10 = 15 + 10 = 25

To get x * 1 point, the product of X and 2 should have x added to it.

let us assume unknown value = y

2x+y=x

y=x-2x

y=-x

so if we add "-x" in the product of x and 2 we get x

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

These expressions are represented with the help of unknown variables, constants and coefficients. The combination of these three (as terms) is said to be an expression. It is to be noted that, unlike the algebraic equation, an algebraic expression has no sides or equal to sign.

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38 minutes / 60 minutes = 0.63

The car traveled for 3.63 hours

Speed = distance/ time

Speed = 145 / 3.63 = 39.94 miles per hour

Round the answer as needed.

Answer:

4(5x-2y)

Step-by-step explanation:

You can only take out the 4 because 20 and 8 are divisible by 4. You also can't take out x because it's only next to the 20 in the equation.

Answer:

Step-by-step explanation:

91

As you can see 91 is the largest 2 digit multiple of 13 as the next multiple is 104 which is a 3 digit number.

Answer:

x=4

Step-by-step explanation:

no because x=4 and you can't have multiple answerd

Answer:

6x+3x×12-30

9x×do 30-12

then multiple it and there is the ans

Answer: Marissa divided the marked section of the wall into 3 equal parts. If she painted one of these parts blue, then the part that she painted blue is 1 out of the 3 equal parts. So, the fraction of the wall that is blue is 1/3.

Another way of understanding this is that if the wall is divided into 3 equal parts and Marissa painted 1 part, then the fraction of the wall that is painted is 1/3.

So the fraction of the whole wall that is blue is 1/3.

Step-by-step explanation:

1.)41 is prime

2.29 is prime

3.87 is composite

4.36 is composite

5.57 is composite

6.61 is prime

7.71 is prime

8.103 is prime

9.39 is composite

10. 91 is composite

Answer:

[tex]A=\pi \frac{d^2}{4}[/tex]

Step-by-step explanation:

The typical equation for the area of a circle is [tex]A=\pi r^2[/tex]. Since the answer choices are in terms of d, the diameter of the circle, you will need to find r in terms of d.

To find r in terms of d, you know that the diameter of a circle is two times its radius. As an equation, this is

[tex]d=2r[/tex], or solving for r,

[tex]r = \frac{d}{2}[/tex].

Now that you have an equation for r in terms of d, you can substitute r with [tex]\frac{d}{2}[/tex] from the original equation.

[tex]A=\pi r^2[/tex]

[tex]A=\pi (\frac{d}{2})^2[/tex]

[tex]A=\pi \frac{d^2}{4}[/tex]

Option C is correct, the parent function represented by the table is f(x) = x.

A relation is a function if it has only One y-value for each x-value.

Looking at the table, we can see that when x is negative, the values of y are negative and increase as x approaches zero.

When x is positive, the values of y are positive and increase as x increases.

Moreover, the values of y increase faster than x.

This behavior is typical of the parent function f(x) = x.

Hence, the parent function represented by the table is f(x) = x.

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The value of x to the nearest degree will be 112°.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

There are three angles are shown in figure.

That is,

⇒ 59°, 108°, and 81°.

Now, We know that;

Sum of all four angles is 360°.

So, We can formulate;

⇒ 59° + 108° + 81° + x = 360°

⇒ 248° + x = 360°

⇒ x = 360° - 248°

⇒ x = 112°

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Answer:

C. 27.5

Step-by-step explanation:

since 24 and 31 are one standard deviation below or above the mean, we could subtract the two values and divide them by two to help find the mean.

we would first subtract the two values

we would then divide that number by 2 since we are finding the average between the two numbers

using the 3.5, you add it to the lower value (24) and subtract it from the higher value (31)

since both calculated numbers were equal, we know that we calculated the mean correctly.

The triangle given is similar to using SAS. Sharon is wrong and the value of KL is 14.

there are three types of triangle similarity criteria known. those are

Given, two Triangle ΔGHI and ΔKLJ. Also, we can see in the figure That ratio of there two known sides is equal and they both have a similar angle.

the ratio of two sides of given triangles

4/8 and 5/10

hence, the ratio of both the side is equal that is 1/2

from the SAS theorem:

Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

thus, given triangles are similar.

Since the Ratio of all three sides would be equal.

hence, HI / KL = 1/2

the third side of the triangle JKL, KL is 14.

Therefore, The given triangle is comparable to using SAS. Sharon is mistaken; The value of KL is 14.

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2 dozen = 24

24 cookies = 3 cups

24 x 2 = 48

48 cookies = 6 cups

24 x 3 = 72

72 cookies = 9

9 ~  8

   ~

i think the anwser is b. 8

Answer:

90%

Step-by-step explanation:

You convert 456/240 into a percentage and get 190%, then taking out the extra 100%

Answer:

Step-by-step explanation: The answer is 47% because if you divide 240 and 456 you get 98 and if you minus 98 by 51 you get 47.

Answer: you need more information to solve

Step-by-step explanation:

Answer:

[tex]\frac{2\sqrt{6}}{3n^{\frac{3}{2}}}[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{8}}{\sqrt{3n^3}}==\frac{\sqrt{8}}{\sqrt{3}n\sqrt{n}}=\frac{2\sqrt{2}}{\sqrt{3}n\sqrt{n}}=\frac{2\sqrt{6}}{3n^{\frac{3}{2}}}[/tex]

Answer:

[tex]\theta=61.68^{\circ}[/tex]

Step-by-step explanation:

Given that,

The height of a tower, h = 103 feet

The height of its shadow, H = 117 feet

The height of tower is perpendicular and the height of shadow is hypotenuse of a right angled triangle. We can use trigonometry such that,

[tex]\sin\theta=\dfrac{h}{H}\\\\\theta=\sin^{-1}(\dfrac{103}{117})\\\\\theta=61.68^{\circ}[/tex]

So, the angle of elevation of the sun is equal to [tex]61.68^{\circ}[/tex].

Answer:

no

Step-by-step explanation:

Answer: 42

Step-by-step explanation:

Answer:

16m^2

Step-by-step explanation:

SA = 2bs + b^2

     = 2(2m)(3m) + (2m)^2

     = 16m^2

The significance of the difference between the two groups under comparison will increase as the p-value decreases. The significance of the difference between the two groups under comparison will increase as the t-value rises.

A difference that is "statistically significant" does not necessarily have to be "large, important, or significant in terms of the utility of the finding"; it simply means that there is statistical evidence that there is a difference.

In general, when the null hypothesis H0 is true, our sample results could have happened by random chance alone when the p-value is "high" (i.e. greater than or equal to the significance level).

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Answer:

the answer is third quartille

Step-by-step explanation

If 120% of a number is 24, then the number is 5.

percentage, a relative value indicating hundredth parts of any quantity.

We need to find the number whose 120% of a number is 24.

Let the number be considered as x

120% is converted to decimal by dividing 120 with 100

120/100=1.2

Now multiply 1.2 by x which is equal to 24

1.2x=24

Divide both sides by 1.2

x=0.05

Now multiply it with 100 as it is a hundredth part

0.05×100=5

Hence, If 120% of a number is 24, then the number is 5.

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The solution for the given equation would be [tex]x=8+\sqrt{15},\:x=8-\sqrt{15}[/tex].

What is an equation?

An equation is a statement that two expressions are equal to each other. It is a mathematical sentence that asserts the equality of two expressions. An equation can be written in the form of:

expression_1 = expression_2

The given equation is √2x – 1- x = −8.

[tex]2x=x^2-14x+49[/tex]

[tex]x=8+\sqrt{15},\:x=8-\sqrt{15}[/tex]

Hence, the solution for the given equation would be [tex]x=8+\sqrt{15},\:x=8-\sqrt{15}[/tex].

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Answer:

3(m+3m)

Step-by-step explanation: