Find the measure of each angle in the isosceles trapezoid.

Answer:

x=10, CB=24

Step-by-step explanation:

To find x, we know that CD=AB. So first we set up an equation.

5x-18=2x+12

then we solve.

5x-18=2x+12

5x=2x+30

3x=30

x=10

To find CB, plugin x.

3(10)-6

30-6

24

CB=24

Answer:

c = 12

Step-by-step explanation:

This is a special triangle, also known as the 30-60-90 triangle. See the help image attached for another special triangle known as the 45-45-90 triangle. 30-60-90 triangle has specific rules that we can apply to this problem:

With that being said....

c = 2x

6 = x

a = x√3

We know that x = 6, so now solve for a & c:

c = 2(6) = 12

a = 6√3

Hope this helps!

x+y=35

1.89x+2.59y=79.95

y=35-x (and now we put this instead of 'y' in the second equation)

1.89x+2.59(35-x)=79.95 (now we solve this equation)

1.89x+90.65-2.59x=79.95

0.7x=10.7

x=15

y=35-15=20

ANSWER:

15 apples

20 oranges

Answer:

they are extension in computer

Answer:

14

Step-by-step explanation:

Hope it helps

Answer: 12 gallons.

Step-by-step explanation: It takes 4 cups to make 1 quart.  It takes 4 quarts to make a gallon.  If you do the calculations, it takes 16 cups in total to make 1 gallon.  By dividing 192 / 16, you 12, which is how many gallons you get when you have 192 cups.

Let me know if this is right! :)

Answer:

155.52mm

Step-by-step explanation:

the area of the rectangle. 16×16=256. the area of the semicircle. 3.14×8×8=100.48. subtract the semicircle from the rectangle 256_100.48= 155.52mm

Answer:

27.47 square mm

Step-by-step explanation:

Area square = 16x16= 256

           Half square=     255/2=128

Area circle    pi x 64 = 201.06...

semicircle        201.06.../2 = 100.53

                128-100.53 =27.47    

For the relation to not to be a function we need the same value of x in (x,y) that gives off different values (y).

Now plugging in the value of k,

hence , the relation won't be function if k would be equal to 3

The value of k for which the relation R = {(2k+1, 3), (3k−2, −6)} is not a function is k = 3.

In general terms, a function is a mathematical rule or relationship that maps one set of values (the input or domain) to another set of values (the output or range). In other words, it's a specific process that takes some input and produces a corresponding output.

For the given relation R to be a function, each input in the domain should have exactly one corresponding output in the range.

We can determine whether the relation R is a function by checking if both ordered pairs have the same first coordinate. If they do, then the relation is not a function.

Let's equate the first coordinate of the ordered pairs:

2k+1 = 3k-2

Solving for k, we get:

k = 3

If we substitute k = 3 into the relation, we get:

R = {(2(3)+1, 3), (3(3)−2, −6)}

R = {(7, 3), (7, -6)}

Since both ordered pairs have the same first coordinate of 7, the relation R is not a function.

Therefore, the value of k for which the relation R = {(2k+1, 3), (3k−2, −6)} is not a function is k = 3.

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Answer:

you have to find the common ratio between the y and the x, like what you have to multiply x by to get y

Step-by-step explanation:

like if your table is

x / y

-2. 6

-1. 3

0. 0

1. -3

2. -6

the ratio would be -3

Answer: 1/4

Step-by-step explanation: 1/8 plus 1/8 is 2/8. it can be simplified to 1/4

The expression that represents the total number of customers held by all three companies is 5x + 10

Systems of equations are made of several equations with unknown variables.

Let the amount of customers company B has be x

If Company C has 10 customers more than company B, then the total customers for company B is x + 10

If Company A has three times as many customers as company B, the total customers for company A is 3x

Total customers = x + 10 + x + 3x

Take the sum

Total customers = 5x + 10

Hence the expression that represents the total number of customers held by all three companies is 5x + 10

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Answer: 55 mph

Step-by-step explanation: rate=distance/time=275/5=55 miles per hour

Answer: 1,600 sq units.

Step-by-step explanation: The perimeter of a square field is 160.  When finding the perimeter of a square, all sides are the same, so you're adding four sides that have the same number to make 160.  You can add 40 four times to make 160, so that gives us a hint of what all the square's sides are, which are 40.  To find the area of a square, you need to multiply one side by the other.  All sides of the square are 40, so we'll multiply 40 two times to make 1,600 sq units.  Therefore, 1,600 sq units is your answer.

Have a great day! :)

Step-by-step explanation:

2. since there are 15 shirt

the probability of her wearing a blue shirt is 5/15

the probability of her wearing a blue shirt is 4/15

Answer:

The final balance is $851.11.

The total compound interest is $251.11.

Step-by-step explanation:

Answer:

changing the currency $ to #

$1000 = #415,640.00

i=prt (formular)

given:

I =?

p = $1000 or #415,640.00

r = 6%

t = 2 years

i= 415,640.00×6×2÷100

i= #49876.8

without changing currency

i= 1000×6×2÷100

i=120

Hello-

Here is the way that I learned to multiply decimals. First, remove the decimal points.

2.37 X 1.6

237 X 16

Then you multiply the numbers.

237 X 16 = 3792

Now, we move the decimal point three places to the left on our answer.

3.792

3.792 is our answer.

Answer:

3x+12y=0

Step-by-step explanation:

x+2x=3x

5y+7y=12y

-3+3=0

Answer:

y goes from the top to the bottom postive to negative. Then x is from left to right. The left is negative the right is postive.

Step-by-step explanation:

Answer:

it's.. parallelogram..

Step-by-step explanation:

mark me brainliest

Answer:

That is a parallelogram.

Step-by-step explanation:

Not a square, not a rectangle, not a trapezoid.

Answer:

x=30

Step-by-step explanation:

x = x

half of x  = (1/2) x = "its half"

third of x = (1/3) x = "its third"

"A number x when added to its half" = x + (1/2)x

"its third increased by 35" = (1/3)x + 35

according to the prompt, these two are equal, so

x + (1/2) x = (1/3)x + 35

x = 1x = (2/2)x to match denominators

(2/2)x + (1/2)x = (1/3)x + 35

= (3/2)x

(3/2)x = (1/3)x + 35

subtract (1/3)x from both sides to isolate the variable and its coefficients

(3/2)x - (1/3)x = 35

multiply both sides by 6 as that is the lowest common multiple of both 2 and 3 (2*3 = 6 so 6 is a multiple of both)

9x - 2x = 35*6

7x = 210

divide both sides by 7 to isolate x

x = 30

Answer:

The median is 9

The Range is 13-5=8

The mean is 5+5+9+11+13/5=43/5=8 3/5=8.6

Answer:

22

Step-by-step explanation:

22 is the area of the given traingle

Answer:

Kirsty raised £143.75 and Flo raised £28.75

Step-by-step explanation:

x = money raised by Flo

5*x = money raised by Kirsty

6*x = money raised together

6x = £172.50

Now divide each side by 6:

x = £172.50:6

x = £28.75 (money raised by Flo)

£172.50-£ 28.75 = £143.75 (money raised by Kirsty)

Kirsty raised £143.75 and Flo raised £28.75

Answer:

The given quadratic expression can be factored as (2x - 3)(x + 1).

So  x + 1 = x - m ⇒ m = -1.

Step-by-step explanation:

Answer:

I hope this helps, you can ask any questions for clarification

Answer: $9

Step-by-step explanation: The maturity value of a loan is the total amount you must repay, including the principal and any interest you incur. The term of the loan is the time for which it has been granted.

The inverse of the matrix [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex] is represented by the matrix [tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex].

A matrix A has an inverse matrix if and only if its determinant is different than 0. Given that we have a matrix formed by 2 rows and 2 columns, we can obtain the following inverse matrix by using the following formula:

[tex]\vec A ^{-1} = \frac{1}{\det (\vec A)} \cdot adj (\vec A)[/tex]   (1)

Where [tex]adj (\vec A)[/tex] is the adjoint of the matrix, which is the transposed of the cofactor matrix.

If we know that [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex], then the inverse of the matrix is determined below:

[tex]\det (\vec A) = -2[/tex]

[tex]adj (\vec A) = \left[\begin{array}{cc}4&-2\\-3&1\end{array}\right][/tex]

[tex]\vec A^{-1} = -\frac{1}{2}\cdot \left[\begin{array}{cc}4&-2\\-3&1\end{array}\right][/tex]

[tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex]

The inverse of the matrix [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex] is represented by the matrix [tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex]. [tex]\blacksquare[/tex]

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Answer:

Step-by-step explanation:

4.  m < 1 + m < 4 + m < 5 = 180