Answer:
x = 1/2, −1/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Find the value of W
Answer:
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
[tex]sum \: of \: angles\: of \: a \: polygon \: = \\(n - 2) \times 180\degree[/tex]
in the question , we've been given a five sided figure , i.e. , a pentagon.
sum of angles of a pentagon = ( 5 - 2 ) × 180°
[tex]\implies \: 3 \times 180\degree \\ \implies \: 540\degree[/tex]
thus we can say that ,
angle sum property of pentagon states that the sum of all the angles of a pentagon equals 540°.
therefore ,
Step-by-step explanation:
[tex]125\degree + 117\degree + (x + 6)\degree + x + (x - 44)\degree = 540\degree \\ \\ 125\degree + 117\degree + x + 6\degree + x + x - 44\degree = 540\degree \\ \\ 204\degree + 3x = 540\degree \\ \\ 3x = 540\degree - 204\degree \\ \\ 3x = 336\degree \\ \\ x = \cancel\frac{336}{3} \\ \\ x = 112\degree[/tex]
hope helpful ~
[tex]{\huge{\fcolorbox{purple}{blue}{\red{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{yellow}{Answer}}}}}}}}}}}}}[/tex]
To find :-
The value of x in the angles of Pentagon
Given :-
Here we have been provided 5 angles in Pentagon
x°, (x - 44)°, (x + 6)°, 125°, and 117°
Solution :-
We will find the value of x with the angle sum property.
Now, we will find the sum of angles of Pentagon
there is a formula
(n - 2) × 180°
n = no. of sides of above shape
here n = 5
(5 - 2) × 180°
3 × 180° = 540°
Now will add the above given angle in the diagram and put equal to 540°.
x° + (x - 44)° + (x + 6)° + 125° + 117° = 540° (angle sum property)
[tex]3x + 204{\degree} = 540{\degree} \\ 3x = 540{\degree} -204{\degree} \\ 3x = 336{\degree} \\ x = \frac{336{\degree}}{3} \\ x = 112{\degree}[/tex]
x = 112°
further we will find further 2 angles related to x.
x - 44 = 112 - 44 = 68°
x + 6 = 112 + 6 = 118°
Result :-
The all angles of Pentagon are
125°, 117°, 118°, 112°, and 68°.
Study the following chemical equation. Identify the total number of atoms before and after the reaction. N₂ + 3H₂ → 2NH3
Before reaction, total number of nitrogen atoms is 2, also the total hydrogen atoms is 6. After the reaction, still, we have the same number of nitrogen atoms as 2, and hydrogen atoms as 6. This therefore obeys the law of conservation of mass that during a chemical reaction, matter is neither created nor destroyed.
Solve for x.
X=?
5x-16 x+10
Answer:
The answer is x= 31
Step-by-step explanation:
(5x-16)+ (x+10)= 180 (Linear Pair)
Now, open the brackets
5x-16+x+10= 180
Arrange the like terms together
5x+x-16+10= 180
=> 6x-6= 180
=> 6x= 180+6
=> 6x= 186
=> x= 186/6 = 31
∴x= 31
Hope it helps!!
answer you get points
Find the measure of the indicated angle to the nearest degree
Answer:
30
Step-by-step explanation:
I see that the square in the triangle is a right triangle, so it's automatically a 90 degrees. the triangle should add up to 180, so I figured that since we have 90, we just needed to find the other angles that help add up to that, which is 60 and 30
im sorry if im wrong
Find the derivative of the following function at x = 12. f(x) = 7x2
[tex]\text{Given that,}\\\\f(x) = 7x^2\\\\f'(x) = 7\cdot 2 x = 14x\\\\\text{At x = 12,}\\\\f'(12) = 14 \times 12 = 168[/tex]
A salesperson sells $2100 in merchandise and earns a commission of $273, What is the commission rate?
if we take 2100 to be the 100%, what is 273 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 2100 & 100\\ 273& x \end{array} \implies \cfrac{2100}{273}=\cfrac{100}{x}\implies \cfrac{100}{13}=\cfrac{100}{x} \\\\\\ 100x=1300\implies x=\cfrac{1300}{100}\implies x=13[/tex]
please help asap il mark brainliest
Answer: Square is rhombus
Rectangle not rhombus
Last one rhombus
Step-by-step explanation:
They have to have parallel lines that never meet
All sides have to be the same size
I got the same question right to it should be right
The area of a rectangle is 44 square units. Its length measures 11 units. Find the
length of its diagonal. Round to the nearest tenth of a unit.
Answer:
about 11.7 units
Step-by-step explanation:
[tex]11w = 44[/tex]
[tex]w = 4[/tex]
[tex] \sqrt{ {11}^{2} + {4}^{2} } = \sqrt{121 + 16} = \sqrt{137} = 11.705[/tex]
A 95 % confidence interval for the proportion of democrat voters in the State of Florida based on a poll is (0.34, 0.43). Based on this confidence interval, is it reasonable to claim that less than 45 % of Floridian voters are democrats
Reason:
The confidence interval for the population proportion p is (0.34, 0.43)
This is equivalent to saying 0.34 < p < 0.43
We're 95% confident p is somewhere between 0.34 and 0.43
Both of these endpoints are smaller than 0.45, meaning that all of the proportions p in the interval are smaller than 0.45
So it's fairly reasonable to assume that less than 45% of the Floridian voters are democrats (since it seems to be between 34% and 43%). Keep in mind that there's always a margin of error with statistics, so we cannot say this with 100% certainty.
Yes, it is reasonable to claim that less than 45 % of Floridian voters are Democrats.
How to calculate a confidence interval for the population mean for a small sample?If the sample size is given to be n < 30, then for finding the confidence interval for the mean of the population from this small sample, we use a t-statistic.
Let the sample mean given as[tex]\overline{x}[/tex] and
The sample standard deviation s, and
The sample size = n, and
The level of significance = [tex]\alpha[/tex]
Then, we get the confidence interval in between the limits
[tex]\overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}[/tex]
where, [tex]t_{\alpha/2}[/tex] is the critical value of 't' that can be found online or from tabulated values of critical value for a specific level of significance and degree of freedom n - 1.
The confidence interval for the population proportion p is given as (0.34, 0.43)
This is equivalent to 0.34 < p < 0.43
We're 95% confident that p is somewhere between 0.34 and 0.43
Both of these endpoints are smaller than 0.45, seems that all of the proportions p in the interval are smaller than 0.45
So it's fairly reasonable to assume that less than 45% of the Floridian voters are Democrats. So there's always a margin of error with statistics, so we cannot say this with 100% certainty.
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determinan MAtriks beikut! -10-311-39-301-20012-4
Answer:
-20677
Step-by-step explanation:
-23 . - 29 . -31
The table shows a linear function.
Answer:The slope of linear function is same for all pair of points on line.
Step-by-step explanation:
Show that KLPQ is a parallelogram
for m = 14 and n = 12. 5. .
L
(5m + 36)
P
(6n – 1)º
(4m + 50)
K
Step-by-step explanation:
m = 14, n = 12.5
m<L = (5m + 36)° = (5(14) + 36)°
L = 106°
m<p= (6n-1°)=(6x12.5-1°)
p=74°
m<Q = (4m + 50)° = (4(14) + 50)°
Q = 106°
k=360°-(106°+74+°106°)=360°-286°
k=74°
The sum of the interior angle of a parallelogram is 360°
The opposite side of a parallelogram are equal.
What is the perimeter? If necessary, round to the nearest tenth.
Answer:
180
Step-by-step explanation:
a^2 + b^2 = c^2
(18^2)+(80^2)=6724
square root of 6724 is 82
82+18+80 = 180
can someone please help me work out this question i really don't understand
Answer:
108 cm^2
Step-by-step explanation:
rectangle + 2 triangle = total area
L x W + 2 * 1/2 base * height = total area
(5x12) + 2 * 1/2 * 12 * 4 = total area
60 + 48 = 108 cm^2
Answer:
108 cm²
Step-by-step explanation:
To do:
1. find area of rectangle 2. find area of triangles 3. add them together
area of a rectangle = bxh = 5x12 = 60
area of triangle = (bxh)/2 = (12x4)/2 = 24
60+24+24=108
Please help super fast I will give brainliest
Answer: hii
1 is the only correct expression.
Step-by-step explanation:
Anything raised to 0 is 1.
Hopefully this helps you
- Matthew <3
Answer: A, B, C, D
All four answers are to be checked off
Explanation:
Anything of the form [tex]x^0[/tex] will be equal to 1, whenever x is nonzero.
So [tex]5^0 = 1[/tex]
All of the answer choices mentioned simplify to 1. Dividing any nonzero value over itself yields 1, so that explains A and B.
Choice C should be fairly obvious, and choice D there isn't any simplification needed.
The combined area of a square and a rectangle is 225 square yards. the length of the rectangle is 8 times the width of the rectangle and the length of a side of the square is the same as the width of the rectangle. find the dimensions of the square and the rectangle.
Answer:
The rectangle: L = 40 yards. W = 5 yards
The square: The length and width are both 5 yards.
Step-by-step explanation:
Let L and W be the length and width of the rectangle.
Let l and w be the length and width of the square.
Area for each is:
Rectangle: L*W
Square: l*w
We are told that L*W + l*w = 225 yards^2
We are also told that
L = 8W
and that
l = W
Since the sides of a square are all equal, w is also W: w=W
Summarizing and substituting:
L*W + l*w = 225 yards^2
(8W)*W + W*W = 225 yards^2
8W^2 + W^2 = 225 yards^2
9W^2 = 225 yards^2
W^2 = 25
W = 5 feet
---------------------
Therefore, since L = 8W , L = 40 yards. W = 5 yards for the rectangle.
The square: l=W, so l = 5 yards, and thus w=5 yards
--------------------------
Check:
Do a rectangle of 40' x 5' plus a square of 5' x 5' have a total combined area of 225 yards^2?
40yd x 5yd + 5yd x 5yd = 225 yards^2?
200 yd^2 + 25 yd^2 = 225 yards^2?
YES
The new aircraft model has a passenger section that is 100 feet long. Using appropriate variables, write an equation expressing the relationship between the number of rows of seats on the airplane and the seat pitch. Assume that the seatbacks in the last row are flush against the wall
Answer:
16x257
Step-by-step explanation:this eqals that and stuff
12 What is the solution to this equation?
-12x-7 = 53
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.
Answer:
x=-5
Step-by-step explanation:
add 7 to 53 then divide -12 to itself and 60.
Solve Me Mobiles puzzle #20 I need help please I'll give 36 points. I just need help trying to solve this puzzle!!!!
Answer:
Pink Trapezoid = 15
Green Cresent = 11
Step-by-step explanation:
The total weight of the mobile is 30.
Because the mobile is evenly balanced between both sides, and we know the diamonds weigh 2 each, we can use simple math tofind the values of the other shapes.
So the total weight (30) divided by the 2 sides = 15 on each side.
This means the pink trapezoid weighs 15 and the rigt side weighs 15.
So 15 - 2 - 2 = 11
So the green Crescent weighs 11.
6. We want to build the smallest cube possible using bricks with dimensions 8 cm - 12 cm 20 cm. How many bricks do we need?
Answer:
1200
Step-by-step explanation:
We’ll need a number that is evenly dividable by all three values: 8,12 & 15. We can develop the generic common multiple by multiplying all three numbers and get 1440. But is that the smallest common multiple? The quick and dirty way to factor the number is to divide it by it’s various elements and see what works. In this case 1440/12=120 which is the smallest common multiple of the three numbers. The smallest length is therefore 120.
In order to find how many bricks just divide (120x120x120)/(8x12x15)=1200 bricks
a theater has 30 rows with 27 seats in the first row, 31 in the second row, 35 in the third row, and so forth. How many seats are in the theater
Answer:
Question relates to a Arithmetic Sequence {30,32,34...} where d = 2
and the terms are the enumber of seats in each row.
S%5Bn%5D=%28n%2F2%29%282%2Aa%5B1%5D%2B+%28n-1%29d%29 |Sum of the seats in the 26 rows.
S%5B26%5D=%2826%2F2%29%282%2A30%2B+%2825%292%29 = 1430 seats in the ALL 26 rows
Step-by-step explanation:
In two or more complete sentences, explain how to solve the cube root equation, 3_/x+1 -2 = 0.
Answer:
You do the thing, then the other thing than BAM! An answer!
Step-by-step explanation:
POINTS
on monday lexi rode 3 miles on a bike on tuesday she rode 3 times more than she did monday on wednesday she rode an additional 4 miles
Answer:
Lexi rode a total of 13 miles in 3 days.
Step-by-step explanation:
3x3+4=13
Answer: The other answer is wrong it Lexi road 16 miles and not 13
16 is rigth
Help please :)………………..
Answer:
umm i cant see it clearly you shoudl get new cheromebook
Step-by-step explanation:
um im in middle school
When mixed together in varying degrees, the three primary additive colors, consisting of ________, can produce all the other colors in the spectrum.
Answer:
Red, Blue, Yellow
Step-by-step explanation:
The three primary colors are red, blue, and yellow.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Determine which shape is formed by each cross-section shown.
trapezoid
rhombus
triangle
rectangle
Answer: Top one is trapezoid, middle one is rectangle, bottom one is triangle
Step-by-step explanation:
I took the test and got them all right, so this one must also be right
The shape is formed by each cross-section shown is Top is a trapezoid, the middle is a rectangle, the bottom is a triangle.
What is geometry?
A branch of mathematics that offers the dimension, houses, and relationships of points, traces, angles, surfaces, and solids broadly: the take a look at houses of given elements that continue to be invariant beneath detailed ameliorations.
The definition of geometry is a department of math that makes a specialty of the measurement and courting of lines, angles, surfaces, solids, and points. An instance of geometry is the calculation of a triangle's angles.
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An isosceles triangle has an angle that measures 120°. What measures are possible for the other two angles? Choose all that apply.
1) 10 Degrees
2) 30 Degrees
3) 120 Degrees
4) 70 Degrees
If your quiz is out of 14 and you get 80 percent how many questions did you get wrong
Answer: 2.8
Step-by-step explanation: 80/100 of 14 = 11.2
Wrong = 14 - 11.2
Answer:
You got 11.2 questions right and 2.8 questions wrong.
Step-by-step explanation:
80% * 14 is 11.2
And 14-11.2 is 2.8
Ik this isn’t a math question but I just want to know how much is worth cause I think I got it like 10 years ago i don’t know I just forgot I had it
Answer:
well just look at the price tag it should cost the same price sense it was only about ten years ago its not like it is a thousand years old.
10. Hayden is comprising a statement with all his
financial assets and liabilities. The assets are shown
as a positive number, and the liabilities are shown as a
negative number. What is the balance of his savings
account?
ITEM
VALUE (S)
CHECKING ACCOUNT
$2,540
INVESTMENTS
$6,000
CREDIT-CARD DEBT
-$880
PERSONAL LOANS
-$ 1,500
SAVINGS
TOTAL NET WORTH $6,760
F. $1,260
H. $810
G. $1,680
J.)$600
The balance in Hayden's savings account is $600.
What is the balance of the savings account?
Net worth is total assets less liabilities. Assets are items owned by a person that creates benefits in the future to the person. Liabilities are what are owed to another person.
Net worth = assets - liabilities
6760 = (2540 + 6000 + savings) - (880 + 1500)
6760 = 8540 + savings - 2380
Savings = 6760 - 8540 + 2380
Savings = $600
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