What is the converse of the statement?
"If x - 2 = 5, then x = 7"

ANSWER

108°

EXPLANATION

The measure of each interior angle of a regular polygon is given by

[tex] \theta = \frac{(n - 2) \times 180}{n} [/tex]

where n refers to the number of sides of the polygon.

From the question we have n=5 in this case.

We substitute to obtain;

[tex]\theta = \frac{(5 - 2) \times 180}{5} [/tex]

[tex]\theta = \frac{3\times 36}{1} [/tex]

This simplifies to:

[tex]\theta = 108 \degree[/tex]

Hence each interior angles of a regular polygon with 5 - sides is 108°

Answer:

[tex]\large\boxed{V=2304\pi}[/tex]

Step-by-step explanation:

The formula of a surface area of a sphere:

[tex]S.A.=4\pi R^2[/tex]

R - radius

We have

[tex]S.A.=576\pi[/tex]

Substitute and solve for R:

[tex]4\pi R^2=576\pi[/tex]         divide both sides by π

[tex]4R^2=576[/tex]          divide both sides by 4

[tex]R^2=144\to R=\sqrt{144}\\\\R=12[/tex]

The formula of a volume of a sphere:

[tex]V+\dfrac{4}{3}\pi R^3[/tex]

Substitute:

[tex]V=\dfrac{4}{3}\pi(12^3)=\dfrac{4}{3}\pi(1728)=(4)\pi(576)=2304\pi[/tex]

Answer:

We can see here that the two sides of both triangle are equal to each other, therefore both triangles are isosceles triangles.

And also the two chords are parallel to each other, which let us know that:

b° = 40°

We also proved that that triangle is an isosceles triangle so:

b° = c° = 40°

Which makes it possible to calculate d°:

b° + c° + d° = 180°

40° + 40° + d° = 180°

d°                    = 180° - 40° - 40°

d°                    = 100°

Not sure if my thinking process make sense, but I'm quite sure about the answers.

Answer:

5 zucchini plants

Step-by-step explanation:

Answer: the answer will be 5(x)=x

Answer:

[1, 5]

Step-by-step explanation:

Here I see ONE row and FIVE columns, so the dimensions are [1, 5].

Answer:  2,5

Step-by-step explanation:

The area of a circle when you know the radius is found using the formula Area = PI x r^2

The small circle has a radius of  7 inches.

The area of the small circle is 3.14 x 7^2 = 3.14 x 49 = 153.86 square inches.

Using the circumference of a circle use the formula Area = C^2 / 4*PI

Area of larger circle = 113.097^2 / 4 *3.14 = 12790.93141 / 12.56 = 1018.39 square inches.

Now to find the blue area subtract the area of the smaller circle from the larger one:

1018.39 - 153.86 = 864.53 square inches.

Answer:

I think B. 10 2/3

Step-by-step explanation:

I haven't learned this yet but out of experience i think this is how you solve it. Find out the ratio of 18 to 8 by dividing 18/8 to get 2.25. then multiply this by 24 to get 10.66 repeated which equals to 10 and 2/3.

Answer:

Approximately  31.42

Step-by-step explanation:

You use the Distance Formula

d= √( x2 - x1 )^2 + ( y2 - y1 )^2

substitute

r=  √(3-3)^2 + (6-1)^2

    √0^2 + 5^2

r = √25

r = 5

Now you can use the equation for  finding the circumference

2πr

2π5

≈ 31.42

The measure of arc CD is 88.8°

In circle geometry , there are certain theorems that guides the solving of problem involving circles.

Some of the theorems are ;

angle at the center is twice angle at the circumference.

The measure of arc is the measure of angle substended at the centre.

Using trigonometric ratio to get the angle at the center.

sinX = 6.35/9.06

sinX = 0.70

X = 44.4°

angle at the centre = 2 × 44.4

= 88.8°

Therefore, arc CD is 88.8°

Answer:

3/10 * 3/10 = 9/100

Step-by-step explanation:

First chance to draw pink is 3 out of 10. replace the marble then I have another 3 out of 10 chance.

Have you found out the answer

1. A transformation is an operation that  traces or moves, a preimage (original) onto an image.

2.The term describes the number of times a wave is translated in one second is frequency.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

Frequency is defines as the  number of times a wave is translated in one second.

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Answer:

2%

Step-by-step explanation:

We are to find out what percentage of 700 is 14.

Assuming [tex] x [/tex] to be the percent of 700 which is 14, we can write it as:

[tex] \frac { x } { 100 } \times 700 = 14 [/tex]

[tex] \frac { x } {100} = \frac {14} {700} [/tex]

[tex] \frac { x } { 1 0 0 } = 0.02 [/tex]

[tex]x=0.02 \times 100[/tex]

[tex]x=2[/tex]

Therefore, 14 is 2% of 700.

To find the missing value, divide two consecutive y-values to determine the constant factor. Multiply the last given value by the factor to obtain the missing value.

To find the missing value for the exponential function represented by the given table, we need to observe the pattern of the function.

The given pattern is:

x   -2    -1       0          1           2

y  29  20.3  14.21   6.9629

In this case, we can see that each value of y is obtained by multiplying the previous value by a constant factor.

To determine this factor, we can divide any two consecutive y-values.

For example, dividing 14.21 by 20.3 gives us approximately 0.6988.

So, the missing value can be found by multiplying the last given y-value (6.9629) by this factor.

Hence, the missing value is approximately 4.8616.

Answer:

64π

Step-by-step explanation:

8²·π = 64π

ANSWER

201.06 square units.

EXPLANATION

The area of a circle is calculated using the formula,

[tex]Area = \pi \: {r}^{2} [/tex]

The given circle has radius, r=8 units.

We substitute the radius into the formula to obtain:

[tex]Area = \pi \times {8}^{2} [/tex]

The exact area is 64π square units.

When we substitute π=3.14, we get,

Area=201.06 units square.

Answer:

≈ 5.7

Explanation:

Place the dot at the 7th notch after 5

Hope this helps! :)

~ 5.74 place the dot 3 lines before the 6

Answer:

TRIANGLES

Step-by-step explanation:

Answer: 6x^2+43x+55

Area=L*W

Area=(2x+11)(3x+5)=x^2+33x+10x+55

Area=6x^2+43x+55

Answer:

the area of the garden would be 6x^+43x+55

Final answer:

To solve the equation 4x = -4r + 2d for x, isolate x by performing the same mathematical operations on both sides of the equation.

Explanation:

To solve the equation 4x = -4r + 2d for x, we need to isolate x on one side of the equation. We can do this by performing the same mathematical operations on both sides of the equation. Let's start by moving the terms containing r and d to the other side:

4x + 4r - 2d = 0

Next, we can factor out the common factor of 4:

4(x + r - 0.5d) = 0

Finally, we divide both sides of the equation by 4 to solve for x:

x + r - 0.5d = 0

The solution for x is x = -r + 0.5d.

Answer: Option A

Step-by-step explanation:

Remember that

[tex]+ * - = -\\- * + = -\\+ * + = +\\- * - = +\\[/tex]

We have the expression

[tex]\frac{1}{2}x + (-7)-2*\frac{1}{4}-(-2)[/tex]

Solve first the multiplication of signs

[tex]\frac{1}{2}x + (-7)-2\frac{1}{4}x-(-2)\\\\\frac{1}{2}x -7-2\frac{1}{4}x+2\ \ \ \ \ \ \ \ Note:\ 2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}\\\\\frac{1}{2}x -\frac{9}{4}x-7+2\ \ \ \ \ \ \ \ Note:\ \frac{1}{2}-\frac{9}{4}=-\frac{7}{4}=-1\frac{3}{4}\\\\-1\frac{3}{4}x -5[/tex]

The square root of f(x) is ±(x + 12) and the square root of g(x) is not defined.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable).

f(x) = x^2 + 24x + 144

f(x) = x^2 + 2(12)x + 12^2

f(x) = (x + 12)^2

Square root of f(x) is ±(x + 12)

g(x) = x^3 - 216

g(x) = (x - 6)(x^2 + 6x + 36)

Here, (x^2 + 6x + 36) does not have real roots hence it is not possible to find the square root of g(x).

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Answer:

x<-1

Step-by-step explanation:

6x-3 <-9

Add 3 to each side

6x-3+3 <-9+3

6x < -6

Divide by 6

6x/6 < -6/6

x < -1

Answer:

x<-1

Step-by-step explanation:

6x-3<-9

Add 3

6x<-6

-6/6=-1

x<-1

= -2? i dont really know either

Answer: 2

Step-by-step explanation:

-6-4=-10 -10/-5=2

Answer:

x=20

Step-by-step explanation:

you first got to get x by itself so + 19 on each side of the equal signs which gets rid of the -19 on the left side of the equal and it adds 19 on the right side of the equal making the answer x=20

The solution of the equation with a single variable 'n' x – 19 = 1 will be 20.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

x – 19 = 1

The degree of the equation is one. Then the equation is a linear equation. Simplify the equation, then we have

x – 19 = 1

x = 1 + 19

x = 20

The solution of the equation with a single variable 'n' x – 19 = 1 will be 20.

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Answer:

The correct choices are; B,C,E, and F.

Step-by-step explanation:

The given equation is;

[tex]\frac{3}{4}+m=-\frac{7}{4}[/tex]

We solve for m to obtain:

[tex]m=-\frac{7}{4}-\frac{3}{4}=-2.5[/tex]

We also solve the remaining equations to see which ones give the same result.

A: [tex]m=\frac{10}{4} =2.5[/tex]

B:[tex]m=-\frac{10}{4} =-2.5[/tex]

C:[tex]m=-\frac{5}{2} =-2.5[/tex]

D: [tex]\frac{11}{4}+m=-\frac{1}{4}[/tex]

[tex]m=-\frac{1}{4}-\frac{11}{4}=-3[/tex]

E: [tex]-\frac{5}{4}+m=-\frac{15}{4}[/tex]

[tex]m=-\frac{15}{4}+\frac{5}{4}=-2.5[/tex]

F: [tex]m+2=-0.5[/tex]

[tex]m=-0.5-2=-2.5[/tex]

The equivalent equations are; B,C,E, and F.

Answer:

[tex]m=-\frac{10}{4}[/tex]

[tex]m=-\frac{5}{2}[/tex]

[tex]-\frac{5}{4}+m=-\frac{15}{4}[/tex]

[tex]m+2=-0.5[/tex]

Step-by-step explanation:

Given equation,

[tex]\frac{3}{4}+m=-\frac{7}{4}[/tex]

[tex]\implies m = -\frac{7}{4}-\frac{3}{4}=\frac{-7-3}{4}=-\frac{10}{4}=-\frac{5}{2}[/tex],

Since, [tex]\frac{10}{4}\neq -\frac{5}{2}[/tex]

[tex]\frac{11}{4}+m = -\frac{1}{4}[/tex]

[tex]\implies m = -\frac{1}{4}-\frac{11}{4}=\frac{-1-11}{4}=-\frac{12}{4}=-3\neq -\frac{5}{2}[/tex]

[tex]-\frac{5}{4}+m=-\frac{15}{4}\implies m = -\frac{15}{4}+\frac{5}{4}=\frac{-15+5}{4}=-\frac{10}{4}[/tex]

[tex]m+2=-0.5\implies m = -0.5-2\implies m = -2.5=-\frac{5}{2}[/tex]

Hello There!

To find the mean, add up all the numbers and divide according to how many numbers there are. The mean for this set would be "9"

To find the median, place the numbers in value order and find the middle. if there is no middle, add up the two numbers in middle and divide by 2. In this set, the median would be "8.5"

To find the mode or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode. In this set, there would be no mode.

The range of a set of data is the difference between the highest and lowest values in the set. In this set, the range would be "12"

heres your answer in a picture

14 + 7 + 10 = 31 marbles total

7/31 = 0.23 or 23%

The probability of drawing a black marble from a bag containing 14 gray, 7 black, and 10 white marbles is 7/31, which, as a decimal rounded to the nearest hundredth, is 0.23.

The theoretical probability of drawing a black marble from a bag containing 14 gray, 7 black, and 10 white marbles can be calculated by dividing the number of black marbles by the total number of marbles in the bag.

To find the total number of marbles, we add up the counts for each color: 14 gray + 7 black + 10 white = 31 marbles in total.

Next, we calculate the probability by taking the number of black marbles and dividing it by the total number of marbles: Probability = (Number of black marbles) / (Total number of marbles) = 7 / 31.

Converting that probability into a decimal gives us approximately 0.2258. However, rounding this to the nearest hundredth, as asked in the question, gives us 0.23. So, the probability of drawing a black marble is 0.23.

Answer:

1.08×10^11

Step-by-step explanation:

1.08 times 10 to the power of 11

The number of pieces of mail in 1995 more than 1965 by = 1.08 * [tex]10^{11}[/tex]

Exponent refers to the number of times a number is used in a multiplication. Power can be defined as a number being multiplied by itself a specific number of times. Exponent is the number to which a number is raised so as to define its power as a whole expression.

In 1995 : 1.8 * [tex]10^{11 }[/tex]

In 1965: 7.2 * [tex]10^{10 }[/tex]

So, the difference will be

= 1.8 * [tex]10^{11 }[/tex]  - 7.2 * [tex]10^{10 }[/tex]

= 1.8 * [tex]10^{10}*10[/tex] - 7.2 * [tex]10^{10 }[/tex]

=18 * [tex]10^{10 }[/tex] - 7.2 * [tex]10^{10 }[/tex]

= (18-7.2)  * [tex]10^{10 }[/tex]

=10.8  * [tex]10^{10 }[/tex]

= 1.08 * [tex]10^{11}[/tex]

Hence, the number of pieces of mail in 1995 more than 1965 by = 1.08 * [tex]10^{11}[/tex]

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Answer:

[tex]2d^3-7d^2-103d+36[/tex]

Step-by-step explanation:

The given expressions are (d-9) and [tex]2d^2+11d-4[/tex].

Their product is given by:

[tex](d-9)(2d^2+11d-4)[/tex]

We expand using the distributive property to obtain;

[tex]d(2d^2+11d-4)-9(2d^2+11d-4)[/tex]

[tex]2d^3+11d^2-4d-18d^2-99d+36[/tex]

We group similar terms to get;

[tex]2d^3+11d^2-18d^2-4d-99d+36[/tex]

We combine the similar terms to get:

[tex]2d^3-7d^2-103d+36[/tex]

Answer:

of the number is X, 16 = 1 + (2/10)×X - 8

Answer:

16 = [tex]\frac{6x}{5}[/tex] - 8

Step-by-step explanation:

Topic: One Unkown equation, mixed numbers

first we have to establish our variables, we only have one so we call

x = "a number"

and we start building our one unknown equation part by part by reading

"Sixteen is the same" means in math that "x ="

"one and two tenths"  1 [tex]^{2/10}[/tex]

this means we have (remember how to sum fractions?)

1 + 2 / 10 = 10/10 + 2/10 = 12/10 = 6/5

so " one and two tenths times a number added to negative 8" become [tex]\frac{6x}{5}[/tex] + (-8)

so we have our equation

16 = [tex]\frac{6x}{5}[/tex]  + (-8) or 16 = [tex]\frac{6x}{5}[/tex]  - 8

Answer:

Opposite sides of parallel are just like diagonal and the other diagonal going the other way.

Step-by-step explanation: