In rhombus ABCD, diagonals AC and BD intersect at point E. If AE = 5cm and BE = 12 cm, what is the length of AC?


a-24 cm
b-17cm
c-7 cm
d-10 cm

Answer:

The answer is 15.

Step-by-step explanation:

d =  sqr. root of (x_2 - x_1)^2 + (y_2-y_1)^2}

= sqr. root of  7- - 2 ^ 2 + 3 - - 9 ^ 2

= sqr. root of 9 ^ 2 + 12 ^ 2

= sqr. root of 81 + 144

= sqr. root of 225

= 15

Answer:

Step-by-step explanation:

It can be observed that LMNP is reflected over y-axis and translated vertically down by 5 - (-2) = 7 units to map to ABCD

This can be shown as:

Answer:

9

Step-by-step explanation:

Answer:

a) 0.2 L

b) 4800 ml

c) 2400 ml

Step-by-step explanation:

Total volume of water = 5 litres

Since 1000 milliliters make 1 L

5L = 5000 ml

a) litres of water spilt = 200/1000 = 0.2 L

b) milliliters of water remaining = 5000 - 200 = 4800 ml

c) since it was expressly stated in the question that the remaining water was divided evenly; 4800/2 = 2400 ml in each bowl

Answer:

220

Step-by-step explanation:

Answer:

kgr5igv%6ovdr

Step-by-step explanation:

g7id24ohswegbj see ohsd

[tex]\huge\underline\mathcal\pink{₳₦₴₩ɆⱤ:-}[/tex]

Biconditional statements do not use the key words 'if' and 'then.' Biconditional statements are true statements that combine the hypothesis and the conclusion with the key words 'if and only if.'

For example, the statement will take this form: (hypothesis) if and only if (conclusion). We could also write it this way: (conclusion) if and only if (hypothesis). If you figured out that both the conditional and converse statements have to be true for a biconditional statement to exist in geometry, you are correct. It's like a reversible jacket; you can wear it on both sides.

Let's rewrite our last example:

Conditional statement: If a polygon has three sides, then it is a triangle.

Converse statement: If a polygon is a triangle, then it has three sides.

Since both are statements are true, we can go ahead and make our biconditional statements:

A polygon is a triangle 'if and only if' it has three sides.

A polygon has three sides 'if and only if' it is a triangle.

Since we can write two biconditional statements, we could also define them as compound statements, since both the conditional and the converse statements have to be true. Let's practice some more.

Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(8, 10) and (-7, 14)

The slope is

[tex]m = \frac{14 - 10}{ - 7 - 8} = \frac{4}{ - 15} = - \frac{4}{15} \\ [/tex]

We have the final answer as

[tex] - \frac{4}{15} \\ [/tex]

Hope this helps you

Answer:

The first share is 26 dollars, the second share is 39 dollars and the last share is 78 dollars.

Step-by-step explanation:

So here is how you do this:

Whole               = 2+3+6

                         = 11

Step 2:

first share           = 2/11 multiplied by 143/1

                           = 143 divided by 11

                           = 13

                            = 13 multiplied by 2

                            = 26

Answer for the first share is 26 dollars

Step 3:

second share         = 3/11 multiplied by 143/1

                               = 143 divided by 11

                               =  13

                               = 13 multiplied by 3

                               = 39

Answer for the second share is 39 dollars

Step 4:

third share               = 6/11 multiplied by 143/1

                                = 143 divided by 11

                                = 13

                                 = 13 multiplied by 6

                               =   78

Answer for third share is 78 dollars

Answer:

Slope (m) = (-1/6)

y-intercept (b) = (-3.5)

x-intercept (x) = (-21)

y = mx + b

y = (-1/6)x - 3.5

Explanation:

y = (-1/6)x - 3.5

0 =  (-1/6)x - 3.5

3.5 = (-1/6)x

(-1/6)x * -6 = x

3.5 * -6 = -21

-21 = x

Answer:

The volume of only the cheese popcorn is 392.5 cubic inches.

Step-by-step explanation:

To determine the volume of only the cheese popcorn,

First, we will determine the volume of the cylindrical tin

The volume of a cylinder is given by

V = πr²h

Where V is the volume of the cylinder

π is a constant, (Take π = 3.14)

r is the radius of the cylinder

and h is the height of the cylinder

From the question, the tin is 10 inches in diameter and 15 inches tall.

Diameter = 10 inches, therefore, we can find radius

Radius = Diameter/2 = 10/2 = 5 inches

r = 5 inches

h = 15 inches

Now, putting the values into the equation, we get

V = 3.14 × 5² × 15

V = 1177.5 cubic inches

This is the volume of the cylindrical tin.

Since the cylindrical tin is divided into three equal sections of caramel, cheese, and buttered flavors, then the volume of only the cheese popcorn will be one-third of the total volume of the cylindrical tin.

∴ The volume of only the cheese popcorn = 1/3 × 1177.5 = 392.5 cubic inches

Hence, the volume of only the cheese popcorn is 392.5 cubic inches.

Answer:

3 cups

Step-by-step explanation:

If you multiply 2/4 x the 6 cakes he has to make you get a total of 3. He will need 3 cups of sugar for ALL 6 cakes.

Hope this helps☺️

Answer:

x < 20

Step-by-step explanation:

Answer:

X<20

Interval notation

(-oo,20)

Step-by-step explanation:

Answer: I just did

Step-by-step explanation:

Answer:

Here's the solution.

Step-by-step explanation:

Okay so,

12 with an exponent of 5 equals 248832 because you multiply 12*12*12*12*12.

12 with an exponent of 4 equals 20736 because you multiply 12*12*12*12.

Since it's division you use the inverse which is multiplication.

Therefore 248832×20736=5159780352

So 12 with an exponent of what number equals 5159780352?

12 with an exponent of 9.

To check your answer do 5159780352 divided by 248832 which equals 20736.

Therefore your answer would be C.

I hope this helps you understand and your cursor is cool, it's the yin yang symbol, correct? How did you do that?

Answer:

B, the second option

Step-by-step explanation:

If there points are collinear then they lie on the same line

Answer:

19/12 or 1 7/12

Step-by-step explanation:

1/4*3=3/4

3/4+5/6

9/12+10/12= 19/12

Answer:

xy^(2)z^(6)

Step-by-step explanation:

i hope that helps  you :)

Answer: X= - or + square root of 10

Step-by-step explanation: both negative or positive roots would multiply to be 10

Answer:

-10 ≥ 2x + 14

Step-by-step explanation:

-10 ( negative ten )

≥ ( symbol for no less )

2x ( two times a number)

14 ( plus fourteen )

Answer:

5 meters

Step-by-step explanation:

below sea level:negative

above sea level :positive

-2 meters + 7 meters = 5 meters

Amsterdam is 5 meters higher than Lammefjord.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

It is given that the city of Amsterdam is 2 meters below sea level. Lammefjord, a city in Denmark is 7 meters below sea level.

Let's understand the sign convention:-

Below sea level: negative

Above sea level: positive

The level is calculated below as:-

-2 meters + 7 meters = 5 meters

To know more about Expression follow

https://brainly.com/question/723406

#SPJ2

Answer:

-9

Step-by-step explanation:

Hope this helps

Since you asked, simply, to know how a ratio is equivalent to another.

Ratios are like fractions in the way that they can be multiplied and simplified. 1:2, for example, can also be 10:20, 5:10, etc. This is inherent to the way a ratio works - say, for every 1 person, there are two cheese slices. This means that when the group gets larger, so does the amount of cheese slices.

Now, to find an equivalent ratio. You can simplify 4:6 by finding the GCF (greatest common factor) of these two numbers - something you can divide both of them by evenly. In this case, the GCF is 2. We divide both 'sides' by 2, and we get a simplified ratio of 2:3. You can then multiply this by different numbers (ones that are logical and could reasonably lead you to an answer on your worksheet or whatnot) until you find an equivalent ratio.

Answer:

Step-by-step explanation:

14: k^-3/k^4= 1/k^7

15: answer : 1/3²

16: n^-4

17: f-g^4 = 3-(-5)^4 = -622

18: (x^5-y^2)²+x³ =

(2^5-8^2)²+2³ =1032

19: m²-n³

6²-2³ = 36-8=28

20 : 2²×3²×5³= 4500

4500/10 = 450 islands

Step-by-step explanation:

2(9n-1)+7(n+6)=-60

18n - 9 + 7n + 42 = -60

25n + 33 = -60

25n = -93

n = -3.72

11(4-6y)+5(13y+1)=9

44 - 66y + 65y + 5 = 9

-y + 49 = 9

-y = -40

y = 40

Answer:

Hello! I hope I’m correct!! :)

1. n = -4

2. y = 40

Step-by-step explanation:

Steps for the first equation.

Step #1. {we are solving for “2(9n-1)+7(n+6)=-60”}

[tex]18n-2+7n+42=-60[/tex]

Step #2. Simplify.

[tex]25n+40=-60[/tex]

Step #3. Subtract 40 {from both sides}

[tex]25n=-60-40[/tex]

Step #4. Simplify.

[tex]25n=-100[/tex]

Step #5. Divide both of the sides by 25. Which will be:

[tex]-\frac{100}{25}[/tex]

Step #6. Now divide (simplify) 100 & 25 which will give you the answer.

[tex]n=-4[/tex]

______________________________________

Now let’s solve the second equation.

Step #1. Expand

[tex]-y+49=9[/tex]

Step #2. Subtract 49 from both sides.

[tex]-y+49-49=9-49[/tex]

Step #3. Simplify.

[tex]-y=-40[/tex]

Step #4. Divide both sides by -1.

[tex]-40/-1[/tex]

Step #5. Simplify.

[tex]y=40[/tex]

Sorry if this is incorrect but I hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! (≧∇≦)

~By, BrainlyAnime~ <3

Answer:

1/2

Step-by-step explanation:

Answer: 114

Step-by-step explanation: Because 48+18 = 66 and 180-66 is 114.

Answer:

C

Step-by-step explanation:

∠ BHC = ∠ FAB = 48° ( alternate angles )

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ABC is an exterior angle of the triangle, thus

∠ ABC = ∠ BHC + ∠ ECB = 48° + 18° = 66° → C