Find the value of x.

Find The Value Of X.

Answers

Answer 1

Answer:

x = 16

Step-by-step explanation:

Angles in a triangle add up to equal 180

Hence, 9x - 8 + x + 10 + x + 2 = 180

                              ^ ( note that we just created an equation that we can use

                                   to solve for x )

We now solve for x using the equation created.

9x - 8 + x + 10 + x + 2 = 180  

step 1 combine like terms

9x + x + x = 11x

-8 + 10 + 2 = 4

we now have 11x + 4 = 180

step 2 subtract 4 from each side

180 - 4 = 176

4 - 4 cancels out

we now have 11x = 176

step 3 divide each side by 11

176 / 11= 16

11x / 11 = x

we're left with x = 16


Related Questions

I need help please it would really help

Answers

Answer:

B

Step-by-step explanation:

V = 4/3 * radius^3 * pi = 4/3 * 4^3 * pi = 256 /3 * pi

Two companies modeled their profits for one yeor Which stotement describes the relationship between the profits, predicted by the models of the two companies?

Answers

The question is incomplete. The complete question is :

Two companies modeled their profits for one year.

Company A used the function P(t)=1.8(1.4)^t to represent its monthly profit, P(t), in hundreds of dollars, after t months, where 0 < t ≤ 12. Company B used the data in the table to write a linear model to represent its monthly profits.

Which statement describes the relationship between the profits, predicted be the models, of the two companies?

Solution :

For one year, the two companies A and B modeled their profits.

It is given that :

Company A uses function [tex]$P(t) = (1.8)(1.4)^t$[/tex] in order to represent the monthly profit of the company in hundreds of dollars after a time [tex]t[/tex].

But the company B uses the data in the table in order to write the linear model to represent their monthly income.

We know the linear function is given by :

[tex]$P(t)=mt+c$[/tex]

Here, m = slope of line

          c = y-intercept

According to the data from the table , we see that the two points [tex](3.5)[/tex] and [tex](4.10)[/tex] lies on the line so that the slope of the line is represented by :

[tex]$\frac{y-y'}{x-x'}=\frac{10-5}{4-3}=5$[/tex]

The point [tex](3.5)[/tex] passes through the given line.

∴ [tex]$5=5(3)+c$[/tex]

[tex]$5=15+c$[/tex]

[tex]$c=5-15$[/tex]

[tex]$c=-10$[/tex]

Therefore, the function will be [tex]$P(t) = 5t-10$[/tex]

So, at [tex]t=4[/tex],

the profit of the company A is [tex]$P(4)=(1.8)(1.4)^4$[/tex]

                                                          = 6.91

the profit of the company A is [tex]$P(4)=5(4)-10$[/tex]

                                                           = 20 - 10

                                                            = 10

Therefore,  [tex]t=4[/tex], the profit of the company B is more than the profit of company A.

Now at [tex]t=12[/tex],

Profit of company A is [tex]$P(12) =(1.8)(1.4)^{12}$[/tex]

                                               = 102.05

Profit of company B is [tex]P(12)=5(12)-10[/tex]

                                               [tex]$=66-10$[/tex]

                                               = 56

Therefore, the profit of company A is more that that of company B at the end of the year one.

Thus, company B had a greater profit for the fourth month and ended the year with the greater monthly profits than company A.

Option (B) is the correct answer.

I need help ASAP PLEASE
What is the sum of the first 47 terms of the sequence?
-215,-201,-187,-173,...

Answers

Answer:

5029

Step-by-step explanation:

There is a common difference between consecutive terms, that is

d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14

This indicates the sequence is arithmetic with sum to n term

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 215 and d = 14 , then

[tex]S_{47}[/tex] = [tex]\frac{47}{2}[/tex] [ (2 × - 215) + (46 × 14) ]

     = 23.5 (- 430 + 644)

    = 23.5 × 214

    = 5029

Solve 6 - 2x = 3

How do I do this?

Answers

Answer:

x = 3/2 or 1.5

Step-by-step explanation:

6 - 2x = 3

(You have to subtract 6 on both sides so it can cancel out)

6 - 6 - 2x = 3 - 6

-2x = -3

(Now, you divide -2 on both sides to isolate the x)

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

x = 3/2

while camping with her family, morgan took her puppy to the river. the river has a current of 27 feet per minute. The puppy paddled upstream at a rate of 44 feet per minute (in still water) for 8 minutes. How many feet did the puppy swim?

Answers

Answer: 352 feet

Step-by-step explanation: 44 X 8

Paula and Karen are playing a game. Paula counts by 4s. Karen counts by 5s. They try to pace the counting so they will say the first common number together. What is the first number they both say together?

Answers

Answer:

20

Step-by-step explanation:

We are to determine the lowest common multiple of 4 and 5

the first six multiple of 4 are = 4, 8, 12, 16, 20, 24

the first six multiple of 5 are = 5, 10, 15, 20, 25

the multiple they both have in common is 20

Find the measure of each angle indicated. It’s two questions.
11)
A) 41
B) 45
C) 49
D) 42

12)
A) 68
B) 85
C) 70
D) 71

Answers

The first one is 49
The second one is 68

Uh... hope someone answer it hehe -,-

Answers

1-opposite angles are congruent

2-consecutive angles are supplementary

3-diagonals of a parallelogram divide the parallelogram into two congruent triangles

4-diagonals of a parallelogram bisect each other

1.opposite angles are congruent
2.consecutive angles are supplementary

In which class is the mean a better representation of the data, Class A or Class B? Explain your answer.

Answers

Answer:

class b

Step-by-step explanation:

because the mean and median are approximately the same

I need help solving this problem. 15-1(12÷4+1)​

Answers

the answer would be 11

Answer:

11

Step-by-step explanation:

1. First do the brackets because BEDMAS

So, (12÷4+1) = 4

2. 15 - 1 x 4

3. 15 - 4

4. 11

Hope this helps! :)

Use the symbolab website/app it's really helpful

May you help me with this❤️

Answers

Answer:

9.50x+130 > 700

Step-by-step explanation:

Answer:

9.50x+130> 700 I believe is the right answer.

Step-by-step explanation:

You need to have over $700 after adding $130 to your profit from mowing, which is $9.50 an hour.

x equals how may hours

9.50x + 130 > 700

The area of a rectangular piece of plastic is 10 square millimeters. The perimeter is 22 millimeters. What are the dimensions of the piece of plastic?

Answers

2789 dimensions because it’s simple u multiple them

Which prism has a volume of 5 cubic units?​

Answers

C is the one that has a volume of 5 cubic units

Answer:

Volume=length*wide*height

1st volume:1 ½*3*1=3/2×3=9/2 not equal

2nd volume: 2*2*1 ½=4*3/2=6units not equal

3rd volume: 1 ¼*4*1=5/4*4=5units equal

4th volume :2*1*2=4units not equal

third one is a required answer.

Ryland rolls a numbered cube that has sides labeled 1 - 6 and then flips a coin. What is the probability that he rolls an odd number and lands on tails?

1/2

1/4

3/4

1/8

Answers

Answer:

1/4

Step-by-step explanation:

Which of the following set of angles is possible for a triangle

Answers

Answer:

2. Isosceles

4. 25, 65, 90

Step-by-step explanation:

Isosceles triangles have two equivalent sides

All the interior angles of triangles always add up to 180 degrees

Please help me with 12,13,14 please and thank you!

Answers

Terms are the parts of an algebraic expression separated by addition or subtraction
Hope this helps! xoxo

for positive acute angles A and B, it is known that cos A=9/41 and tan B=21/20. Find the value of sin(A+B) in simplest form.

Answers

Answer:

Step-by-step explanation:

I attached a pic so you can see what the angles look like when you draw them out and construct right triangles out of them. We need to find the missing side lengths, ?, in each triangle. For A:

and

x = 40 For B:

and

x = 29. Now that we know all the sides of each triangle, we will use the sum identity for sin:

sin(A + B) = sinAcosB + cosAsinB. Filling in what we found in our triangles for each ratio: sin A = 40/41, sin B = 21/29, and cos B = 20/29

sin(A + B) = which simplifies to

And that's it. It doesn't simplify any further.

A pile of 15 boxes is 3 metres high. What is the depth of each box?

5 m
0.002 km
200 cm
200 mm

Answers

ANSWER:

200 millimetre

Answer:  D) 200 mm

====================================================

Work Shown:

1 meter = 100 cm

3 meters = 300 cm (multiply both sides by 3)

15 boxes are 300 cm tall combined, so 300/15 = 20 cm is the height of each box.

------------

Unfortunately 20 cm isn't listed as an answer choice, but we can convert to km and see what happens

20 cm * (1 m/100 cm)*(1 km/1000 m) = 20/(100*1000) = 0.0002 km

It's close, but off by a digit. Choice B has two zeros while 0.0002 has three zeros between the decimal point and the '2'.

------------

Let's convert to mm and see what happens

20 cm * (10 mm/1 cm) = 200 mm

Through trial and error, we arrived at the final answer.

n - 9.02 = 3.87
what is (n)?

Answers

Answer:

n = 12.89

Step-by-step explanation:

Add 9.02 + 3.87

Please help with this homework

Answers

Answer:

15

Step-by-step explanation:

miranda - 2x5=10

trudy - 5x5=25

25-10=15

64 fluid ounces is the same as

Answers

Answer:    0.5 liquid gallon

Step-by-step explanation:      Have a great day

Graph the circle which is centered at (-3, -2), and
which has the point (-3, -9) on it.

Answers

Answer:

(x+3)² + (y+2)² = 49

Step-by-step explanation:

To graph the circle that has centre of (-3,-2) with a point (-3, -9) on it.

First, let us write the equation of the circle

The equation is expressed as;

(x-a)² + (y-b)² = r²

(a, b) is the centre

r is the radius

r = √(-9-(-2))² +(-3-(-3))²

r = √(-9+2)² +(-3-(-3))²

r = √(-7)²

r = √47

r = 7

Get the equaton

(x-(-3))² + (y-(-2))² = 7²

(x+3)² + (y+2)² = 49

This gives the required equation

EASY MATH PLEASE HELP! :)

I WILL GIVE BRAINLIEST!

QUESTION: Find the area!

Answers

Answer:

Total Area: 60

Step-by-step explanation:

The area of the rectangle is the easiest to find. Just multiply 12x4.

12x4=48

For the triangle. You can subtract 4 from the height of 10ft.

The height of the triangle is now 6ft.

To calculate the area of a triangle, multiply the height by the base (this is also known as the 'width') then divide by 2.

Btw the image was really small. Kind of hard to see the numbers.

find the area of the isosceles triangle

Answers

175m^2
I got the by multiplying 1/2, by the base (14), by the height (25).

1/2 * 14 * 25
First we are gonna find the height using trigonometry.

h^2 = 25^2 - 7^2
h = 24

Height is 24m

Now find area using 1/2 x b x h

14/2 x 24 = 168 m^2

Therefore area is 168m^2

What is the arithmetic mean of the following
numbers?
4,9,6, 3, 4,2

Answers

Step-by-step explanation:

the arithmetic mean are 14

the arithmetic value is 14

to make lemonade you used 1 quart of water 1 pint of lemon juice and 9 oz of your secret ingredient honey how much lemonade did you make in pints, cups, and ounces please help I need help ​ this is due today please

Answers

Answer:

3.56 pints

7.125 cups

57 oz

Step-by-step explanation:

water = 1 quart = 32 oz

lemon juice = 1 pint = 16 oz

honey = 9 oz

lemonade = 32 + 16 + 9 = 57 oz

Now 16 oz = 1 pint

So, 57 oz = 3.56 pint

As, 1 cup =  8 oz

So, 57 oz = 7.125 cups

PLEASE ANSWER CORRECTLY NO WRONG ANSWERS I BEG! 90 POINTS HERE Here is a histogram that shows some dog weights in pounds. Refer to the histogram too.
Use the histogram to answer the following questions.
How many dogs weigh at least 100 pounds?
How many dogs weigh exactly 70 pounds?
How many dogs weigh at least 120 and less than 160 pounds?
How much does the heaviest dog at the show weigh?
What would you consider a typical weight for a dog at this dog show? Explain your reasoning.
Discuss with a partner:
If you used the dot plot to answer the same five questions you just answered, how would your answers be different?
How are the histogram and the dot plot alike? How are they different?

Answers

Answer:

Exactly 22 dogs weigh at least 100 pounds

Exactly 6 dogs weigh 70 pounds

Exactly 9 dogs weigh at least 120 and less than 160 pounds

The heaviest dog at the show weighs 170 pounds

At this dog show a typical weight for a dog would be around 100 - 120

what is the volume of a box with a length of 3 and 3/4, width of 3, and height of 3 and 1/4?

Answers

Answer:

V= 36 9/16 or (decimal form) 36.5625

Step-by-step explanation:

V=length x width x height

*Question Is Above*

Answers

diameter=16 so divide by 2 to find radius
16/2=8=r

area of circle= pi*r^2

area of circle= pi*8^2

area of circle=64pi

now either leave it as an exact answer (64pi u^2) or convert it to a decimal and then round

201.06192983

round to nearest tenth= 201.1 u^2
or round to the nearest hundreth=201.06 u^2

PLEASE HELP!!!

Two quantities are related, as shown in the table:
ху
2 10
4 9
68
8 7
Which equation best represents the relationship?
Oy = -x +11
y =
y = 2x + 10
Oy=2x + 11

Answers

Answer:

B. y= -½x + 11

Step-by-step explanation:

_______________

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