Use the diagram shown. Solve for x. Find the angle measures to check your work.
mZAOB = (9x - 5)º
mZBOC = (2x +11°
mZCOD = (6x + 10°
X=

Answer:

x = 3/2

Step-by-step explanation:

x = 3/2

Step-by-step explanation:

Given the equation 3/2(4x-2)-3x = 5-(x+2)

Open the parenthesis

3/2(4x) - 3/2(2) -3x = 5-x-2

6x-3-3x = 3-x

3x-3 = 3-x

Collect like terms

3x+x = 3+3

4x = 6

Divide both sides by

4x/4 = 6/4

x = 3/2

Hence the value of x is 3/2

Answer:

Acute, 40 degree angle

Step-by-step explanation:

Take 90 - 50 and you get 40

I hope this helps you :)

-KeairaDickson

Answer:

40°

Step-by-step explanation:

Count how many 10s it takes to get from 90 degrees to 50 and you get your answer...

Step-by-step explanation

Step-by-step explanation:

x^2=9/49

√x^2=√9/49

x=+or-3/7

Answer:

a = 2

Step-by-step explanation:

First of all you should remove parentheses by using distribution

24 + 5a = - a + 30a - 24

Then you should collect all like terms

24 + 5a = 29a - 24

After you should move the terms so the variables are only on one side.

5a - 29a = -24 - 24

Collect like terms

-24a = -48

After dividing both sides you get

a = 2

Answer:

The cube root of a number is a special value that, when used in a multiplication three times, gives that number. Example: 3 × 3 × 3 = 27, so the cube root of 27 is 3. See: Square Root. Cubes and Cube Roots.

Answer:

z^5

Step-by-step explanation:

z^8  * z^-3

Since we are multiplying exponents and the bases are the same, we can add the exponents

z^(8-3)

z^5

Answer:

36km/h

hope this helps!

Answer:

The answer is A on edge

Step-by-step explanation:

The required function g(x) = √2x

Given that,
The composite function g (f (x))= x √6
f(x) = 3x²
g(x) = To be determine.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
g (f (x))= x √6
g (3x²)= x √6
g (3x²)= √6x²
g (3x²)= √2*3x²
Let
x ⇆ 3x²
g (x)= √2x

Thus, the required function g(x) = √2x.

Learn more about function here:

brainly.com/question/21145944

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Answer:

  $15.75

Step-by-step explanation:

You can do this a couple of ways.

(1) Compute the tax, and add it to the price to find the total.

  5% × $15 = 0.05 × $15 = $0.75 . . . . amount of tax

Then the total cost is $15 + $0.75 = $15.75.

__

(2) Add the percentage to 100% and use that to multiply the cost.

  total cost = $15 + 5% × $15 = $15×(100% +5%) = $15×1.05

  total cost = $15.75

Answer:

$1036

Step-by-step explanation:

His room is 8 x 9 = 72 feet.  The cost of each square foot is $14.  

So 72ft x $14 = $1036.  So its going to cost him $1036.

i hope i helped :)

Answer: Answer is 1,008

Step-by-step explanation:

Because 9 x 8 is 72 ft

Take 72 + 14 is equal to 1,008.

Answer:

The answer is 215=55x+40 or 215=40+55x

Step-by-step explanation:

The reason it is that is because the plumber charges $55 for a service and he adds 40 for each hour he works so that is why this is the answer Remember the total bill cost 215 so that comes as the equation is equal to.

Hope that helps

Answer:

Water and alcohol

Step-by-step explanation:

They are both a clear liquid. However, their properties are very different. Here are a few of the things that set them apart.

Answer:

second option

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle

Given

hypotenuse = x[tex]\sqrt{2}[/tex] and

the combined length of the legs = 2x , then

perimeter = x[tex]\sqrt{2}[/tex] + 2x

Answer:

x = 32

Step-by-step explanation:

x/4 = 8

<=> x = 8 . 4

<=> x = 32

Answer:

The price increase in dollars= $4,515

Step-by-step explanation:

Cost of the next model = cost of the current model + 12.9% cost of the current model

Cost of the current model = $35,000

12.9% cost of the current model

= 12.9/100 × $35,000

= 0.129 × $35,000

= $4,515

Cost of the next model = cost of the current model + 12.9% cost of the current model

= $35,000 + $4,515

= $39,515

Cost of the next model = $39,515

The price increase in dollars= next model price - current model price

=$39,515 - $35,000

= $4,515

The price increase in dollars = $4,515

Answer:

52^8

Step-by-step explanation:

26^8 = 208827064576 + 26

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

If line PS has midpoint a Q and ray QR, then line PQS will be a straight line and <PQR + <RQS = 180 (sum of angle on a straight line).

Given

<PQR = 3x-6

<RQS = x+ 2

To get x, we will use the relationship above;

3x-6+x+2 = 180

4x-4 = 180

add 4 to both sides

4x-4+4 = 180+4

4x = 184

x = 184/4

x = 46

Since <PQR = 3x-6, we will substitute the value of x into the formula;

<PQR = 3x-6  

<PQR = 3(46)-6

<PQR = 138-6

<PQR = 132°

Hence the size of angle PQR is 132°

Answer:

15 m

Step-by-step explanation:

The area of the circle is

A =pi r^2

A = pi 4^2 = 16 pi

The area of the sector is 30

The fraction is

30/16 pi  

Take this time 2pi which are the  radians of a circle

30 /16 pi * 2 pi = 15/4

This is the number of radians the angle is

The arc length is s = r * theta where theta is in radians

s = r  theta

  = 4 * 15/4

  = 15

Answer:

Cost: $10.00

Number of Tickets:26

Step-by-step explanation:

Each ticket is $0.50

20*$0.50=$10.00

For the tickets:

$13.00/$0.50=26 tickets

Answer:

16

Step-by-step explanation:

f(-2)=4-3(-2)*2

f(-2)=4-3(-4)

f(-2)=4+12

f(-2)=16

Answer:

1.65x + 2.25y ≤ 15

Step-by-step explanation:

Strawberries = $1.65 per pound Raspberries = $2.25 per pound

Amount with Christine = $15

Let

pounds of strawberries = x

pounds of raspberries = y

PxQx + PyQy ≤ 15

1.65x + 2.25y ≤ 15

The inequality which represent the situation where she buys x pounds of strawberries and y pounds of raspberries is 1.65x + 2.25y ≤ 15

1.65x + 2.25y less than or equal to 15

Answer:

Step-by-step explanation:

a ) Let the volume required be v .

v x .8 + 500 x .3 / ( v + 500 ) = .7

.8 v + 150 = .7 v + 350

.1 v = 200

v = 2000 mL

b )

Let the volume of solution A  required be v . The volume of solution of B required will be 100 - v

v x .8 + ( 100 - v ) x .3 / 100 = .5

.8 v + 30 - .3 v = 50

.5 v = 20

v = 40 mL

volume of solution B = 60 mL .

c )

It is not possible because 90 % is more than 80 % the concentration of solution A . Any mixture will have concentration less than 80 % .

volume of solution B = 60 mL

Answer:

Yes, it is!

Step-by-step explanation:

Answer:

3(75) + 50C

Step-by-step explanation:

Suppose a school needs to make T-shirts for its 75 members and the ordered printing company charges $3er shirt. This implies that the total amount that will be paid for the shirt without being a colored printing will be :

3(75) ----- Let that be  equation (1)

If a school choir needs to make T Shirts for its 75 members and the printing company charges $3 per shirt, the total amount paid for shirts without coloured printing will be $3 * 75 = 3(75) ... 1

However, if the ordered printing company charges a $50 fee for each color to be printed on the shirts, therefore, the total number of colors on the shirt will cost $50C  --- Let that be equation (2)

here, C represents the total amount of colors in the number of T-shirts

Therefore, the equation showing the relationship between the number of T-shirts ordered and the number of colors can be expressed as the summation of the above two equations:

=  3(75) + 50C