Answers
Given:
The figure of a pentagon.
To find:
The value of the x.
Solution:
We know that, the sum of all interior angles of a pentagon is 540 degrees. So,
[tex](5x-25)+(6x+25)+(6x-3)+(9x)+(7x+15)=540[/tex]
[tex](5x+6x+6x+9x+7x)+(-25+25-3+15)=540[/tex]
[tex]33x+12=540[/tex]
Subtract both sides by 12.
[tex]33x+12-12=540-12[/tex]
[tex]33x=528[/tex]
Divide both sides by 33.
[tex]x=\dfrac{528}{33}[/tex]
[tex]x=16[/tex]
Therefore, the value of the x is 16.
Related Questions
What simplified ratio correctly compares 36 inches to 4 feet?
Drag and drop the appropriate numbers into the boxes.
:
2 3 4 6 9 36
Answers
Answer:
3/4 or 3-4
.......................
if you travel 35 miles per hour for 45 hours hovú far will you travle
Answers
Answer: 1575 miles
Step-by-step explanation:
Let's take what we are given
35 miles an hour
45 hours
Let's now multiply them together to get our result
35x45
1575 miles in 45 hours
Samir and Christian had a total of 360 marbles Samir lost 28 marbles while Christian brought 18 more marbles both of them had an equal number of marbles in the end how many marbles did Samir have at the beginning
Answers
Step-by-step explanation:
Marbles altogether = 360
Marbles Samir Lost = 28
360 - 28 = 332
Marbles Christian bought 18
332 + 18 = 350
Marbles both had in the end = 350 ÷ 2 = 175
Marbles Samir have at the beginning = 175 + 28 = 203
Answer = 203
Which expression is equal to x + (f+g)? (1 point)
Answers
Answer:
x + f(x) + g(x)
Step-by-step explanation:
(f+g) = f(x) + g(x)
Therefore, x + (f+g) = x + f(x) + g(x)
If you are given equations to go with f(x) and g(x), you would plug in those equations to the above expression then combine like terms to find the fully simplified expression equal to x + (f+g).
PLEASE HELP I DONT GET THIS AND MY MOM IS MAD AT ME
A person is looking from a car to the top of a building. The angle of elevation to the top of the building from the car is 32°. The building is 200 feet away. How tall is the building? Round to the nearest foot.
Answers
Answer:
132.2 ft
Step-by-step explanation:
This is a right angle problem where 32 is the angle and 200 feet is the leg unederneath. To solve for the height we use tangent since we have the adjacent side and we are solving for the opposite side.
Steps:
1. tan32 = x/200
2. (tan32)200=x
3. x=132.2 ft
1. The pollution level in the center of a city at 6 am is 30 parts per million and it
grows in linear fashion by 25 parts per million every hour. If y is pollution
and t is time elapsed after 6 am, determine:
a. The equation that relates y with t.
b. The pollution level at 4 o'clock in the afternoon
Answers
Answer:
a) [tex]y(t) = 30 + 25t[/tex]
b) The pollution level at 4 o'clock in the afternoon is of 280 parts per million.
Step-by-step explanation:
The pollution level in the center of a city at 6 am is 30 parts per million and it grows in linear fashion by 25 parts per million every hour.
This means that the pollution in t hours after 6 am is given by:
[tex]y(t) = 30 + 25t[/tex], which is the answer to question a.
b. The pollution level at 4 o'clock in the afternoon
4 in the afternoon is 10 hours after 6 am, so this is y(10).
[tex]y(10) = 30 + 25*10 = 30 + 250 = 280[/tex]
The pollution level at 4 o'clock in the afternoon is of 280 parts per million.
HELP PLEASE
17. A triangle has sides of length x, X -3 And x+6 what is the perimeter of the triangle?
A.3x+3
B.3x^3+3
C.3x^3+18
D.3x+9
Answers
Answer:
A. 3x+3
Step-by-step explanation:
The perimeter is found by adding all the side lengths:
(x)+(x-3)+(x+6)
=1x+1x+1x-3+6
=3x+3
(Remember, add x-terms to x-terms, and numbers to numbers)
A new treatment for depression involves a one month stay on a Caribbean island and daily therapy sessions with a team of 8 professionals. A researcher knows that people with untreated depression miss an average of μ = 4.30 days of work per month (σ = 1.1). It was found that a random sample of 121 depressed individuals who underwent the new treatment missed an average of M = 4.08 days of work per month following treatment. Thus, the research question is: what is the impact of this treatment on absenteeism (i.e., days missed from work)?
Answers
Answer:
A
Step-by-step explanation:
Solve: (x −6)−(4.5−x )= −1.5
PLZ HELP
Answers
Answer:
x=9/2 Hope this helps!
Step-by-step explanation:
Let's solve your equation step-by-step.
x−6−(4.5−x)=−1.5
Step 1: Simplify both sides of the equation.
x−6−(4.5−x)=−1.5
x−6+−1(4.5−x)=−1.5(Distribute the Negative Sign)
x+−6+(−1)(4.5)+−1(−x)=−1.5
x+−6+−4.5+x=−1.5
(x+x)+(−6+−4.5)=−1.5(Combine Like Terms)
2x+−10.5=−1.5
2x−10.5=−1.5
Step 2: Add 10.5 to both sides.
2x−10.5+10.5=−1.5+10.5
2x=9
Step 3: Divide both sides by 2.
2x/2=9/2
x=9/2
Answer is 9/2.
Shaun is 1.88 m tall.
David is 6 cm taller than Shaun.
How tall is David
Answers
David is 1.94 meters tall.
Given that,
Shaun is 1.88 meters tall.
David is stated to be 6 centimeters taller than Shaun.
To determine David's height, we need to add the additional height to Shaun's height.
Since there are 100 centimeters in a meter, we can convert the 6 centimeters to meters by dividing it by 100: 6 cm / 100 = 0.06 meters.
Now, we can add this height to Shaun's height to find David's height:
1.88 meters + 0.06 meters = 1.94 meters.
Therefore, David is 1.94 meters tall.
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PLEASE HELP WILL MARK BRAINLIEST IF CORRECT
A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal.
A rhombus ABCD is shown with diagonal AC equal to 16.8 feet and diagonal BD equal to 11.9 feet
What is the area of the farm?
57.4 square feet
99.96 square feet
114.8 square feet
133.28 square feet
Answers
Answer:
99.96
but trust me I'm bad with big numbers but I think this ones right.
Answer:
99.96
Step-by-step explanation:
Solve the expression
Answers
Answer:
y - 12 = 89
y - 12 + 12 = 89 + 12
y = 101
the value of a 8 in the ten millions place is what fraction of the value of a 8 in the hundred million place
Answers
Was this supposed to be a question? =|
A house has increased in value by 35% since it was purchased. If the current value is $297,000, what was the value when it was purchased?
Answers
Answer:
Answer:
$260,000
Step-by-step explanation:
Explanation:
Given the problem above, we solve for original value
Hence, in this case, we are given
percentage (35%) and the New Value ($351,000).
We can substitute this into the formula and solve for X
Let X be the original price, Hence, X = 100%
Therefore, $351000 = 135%
Divide both sides by 135
351000÷ 135 = 135÷135
2600 = 1%
Multiply both sides by 100
2600 * 100 = 1% * 100
$260000 = 100% = X
Hence, final answer is $260000
What is 150% of 60?
Select one:
90
30
9
40
Answers
Q4. Three students A, B and C had 3 soil samples. Each student poured 180 mL of water
into the soil samples they had. Time taken for the percolation of water through the three
soil samples was 25 min, 10 min and 40 min respectively. Which student had the soil with
the highest percolation rate?
Answers
Answer:
Student B
Step-by-step explanation:
Soil percolation is the porosity of soil to the downward flow of water through it. A soil with high percolation allows water to drain through it downwards in a less period of time.
From the given experiment by students, it takes 25 min for water to percolate through the soil sample of student A, 10 min for the soil sample of student B and 40 min for the soil sample of student C. Thus, the student that had the soil sample with highest percolation rate is B.
HII IM ON A TIME RUSH ANSWER THIS CORRECT FOR 50+ BRAINLIEST POINTS AND BRAINLIEST PLEASE HELP
Answers
Answer: C
Step-by-step explanation: Solution at the intersection of lines (-3, -4)
What is the rate of change: y=x+5
Answers
Answer:
x or 1x.
Step-by-step explanation:
The rate of change is slope.
Slope=m
y=mx+b
y=x+5
x is the same thing as 1x. So...
What is the equation of the line that passes through the point (5, -6) and has a
slope of 3/5
Answers
Answer:
y = 3/5x + -9
or y = 3/5x - 9
Step-by-step explanation:
Since you are already given the slope for this equation all you have to do is plug in the ordered pair in this equation: y = mx+b
Here is what this equation stands for:
y = the y in the order pair you are given, in this case it would be -6
m = This is the slope, sometimes you may not be given the slope so you would have to find it, but in this case, you are given it, the slope is 3/5
x = the x in the ordered pair you are given, in this case it would be 5
b = This is the y-intercept, you will mostly be solving for this most of the time
(5,-6)
(x, y)
y = mx+b (Use this Formula)
-6 = 3/5(5) +b (The numbers have been substituted within the formula)
-6 = 3+b (simplify the equation by multiplying the slope by the x)
-6-3 = b ( once simplified the left side of the equation, go to the right side, but remember when you do that you have to change the sign because you are eliminating 3 on the left side completely, "what you do on one side, do it to the other side")
-9 = b (solve)
y = 3/5x + -9 (plug in the slope and B(y-intercept) within the formula - y = mx+b, make sure that you are not plugging in x and y for this step)
I Hope This Helped You Understand this Problem Better/More!!! Stay Safe and Healthy!
Snow Play Ski Park costs $35 entry fee and then $5 per hour. If you have $60, how long can you be at Snow Play Ski Park?
Part A - Identify the independent and dependent variables.
Answers
Answer:
You can be in the snow play ski park 5hours
Step-by-step explanation:
First 60$ - 35$=25$
1h=5$
2h=10$
3h=15$
4h=20$
5h=25$
So you can pay 35$ for the snow play ski park and then you can be there 5hours.So 35$ for the entry+25$ for the 5 hours=60$
PS:Can I be a brainliest pls. And have a nice day and sry for my english i m not so good but i wanted to help you.cya
Joanne is buying a pair of shoes in Europe the length of her foot is 27.5cm
Answers
Answer:
42-43 Euro size
Step-by-step explanation:
it is a 9.5 in American so that is the size converted to Euro (42-43).
I don't know if that helped I cant say for sure it is correct.
Find angle x, giving your answer to 1 decimal place.
38°
х
11 cm
8 cm
Answers
Answer:
x = 55.8
Step-by-step explanation:
sinA/a + sinB/b
label any of them A (the angle) and opposite it will be a (the side)
[tex] \frac{ \sin(38) }{8} + \frac{ \sin(x) }{11} [/tex]
[tex]11 \times \frac{ \sin(38) }{8} [/tex]
(you can put ×11 the opposite area as well, it makes the same answer)
=0.84653452.....
[tex] \sin^{ - 1} (0.84653452)[/tex]
=57.83672257
You were playing fetch with your dog an accidentally threw the toy and it
got stuck on the roof of your house. You leaned the ladder against your
house at a 30° angle of elevation. The foot of the ladder is 7 feet from the
foot of the house. How long is your ladder?
Answers
Answer:
8.1
Step-by-step explanation:
I got this answer of the internet good luck lol
The length of ladder would be,
⇒ 14/√3 feet
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
We have to given that;
You leaned the ladder against your house at a 30° angle of elevation.
And, The foot of the ladder is 7 feet from the foot of the house.
Now,
Let the length of ladder = x
Hence, We can formulate;
⇒ cos 30° = 7 / x
⇒ √3 / 2 = 7 / x
⇒ x = 14 / √3 feet
Thus, The length of ladder would be,
⇒ 14/√3 feet
Learn more about the angle visit:;
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Triangle A has side lengths of 14 in, 12 in, and 6 in.
Triangle B has side lengths of 7 in, 6 in, and 3 in.
Which shows the proportions written correctly?
Answers
Answer:
The last one which you was on is correct.
Harley read 5 books in january, 8 books in february, 4 books in march and 7 books in april. what is the average number of books harley reads per month
A: 7
B: 6
C: 6.5
D: 3
Answers
Answer:
B: 6
Step-by-step explanation:
Find the mean:
5+8+4+7= 24
24/4=6
I was doing my homework when I come across this question, it says "substitute each given value of the variable to find which, if any, is a solution of the inequality." what does this mean?
Answers
Answer:
Step-by-step explanation:
Perimeter (P) of the quarter circle is the curve + both sides.
Perimeter of the curve
Perimeter of the sides
2 sides = 2r
Step-by-step explanation:
5(y +2/5) = -13
type the answer and how you got your answer and the best answer will get brainlist answer PLEASE IM BEGGING YOU TO HELP MEE
Answers
Answer:
y=-15
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
[tex]5(y + \frac{2}{5} ) = - 13 \\ 5y + 2 = - 13 \\ 5y = - 13 - 2 \\ y = \frac{ - 15}{5} \\ y = - 3[/tex]
therefore the value of y is equal to -3
1
Write the following:
a) 16 as a fraction of 152
b) 15 as a fraction of 210
Answers
Answer:
dddddweqwqq
Step-by-step explanation:
15/210 = 1/14 (simplified)
A scientist is investigating whether percent concentration can be used to predict density in apple juice. A scientist selected a random sample of 12 apple juice varieties and recorded the density, in pounds per cubic inch, and the percent concentration of each apple juice variety. The scientist wants to estimate the mean change in the density, in pounds per cubic inch, for each increase of 1 percent concentration of apple juice. Assuming the conditions for inference have been met, which of the following inference procedures is most appropriate for this investigation?
a. A linear regression t-interval for slope.
b. A matched-pairs t-interval for a mean difference.
c. A two-sample t-interval for a difference between means.
d. A one-sample t-test for means.
e. A two-sample z-interval for a difference between proportions
Answers
Answer:
The most appropriate inference procedure for the investigation is;
a. A linear regression t-interval for the slope
Step-by-step explanation:
Given that the slope of an horizontal line is zero, we have that there is no change in the y (dependent) variable when there is a change in the x-variable, therefore, it is important to find the true relationship between the two variables, 'x', and 'y'
The confidence interval of the slope is calculated and analyzed to determine if it excludes or includes, 0, such that, if the confidence interval exclude 0, then, it is unlikely that the slope is 0, therefore, there the relationship between the variables, 'x', and 'y' is significant
Therefore, a linear regression t-interval for the slope is most appropriate.
Someone please explain how to do this!!
Answers
Answer:
o because the square is not of 4