Answers
Answer:
111°
Step-by-step explanation:
The polygon given is a heptagon having 7 sides.
Sum of interior angles of a 7-sided polygon = (n - 2)*180
= (7 - 2)*180
= 5*180 = 900°
Therefore:
126° + 158° + 120° + 125° + 121° + 139° + x° = 900°
Solve for x
789° + x° = 900°
Subtract 789 from each side
x = 900° - 789°
x = 111°
Related Questions
how would you solve
y - 4 = 3
Answers
Answer:
Y = 7
Step-by-step explanation:
You would add 4 to both sides to cancel out the -4. That leaves y by itself equaling 7.
The solution of the equation y – 4 = 3 will be 7.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
y – 4 = 3
Add 4 on both sides, we have
y – 4 + 4 = 3 + 4
y = 7
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Michael is building a fence around his garden to keep the rabbits out. The perimeter of his garden is 42 feet. If the length of the garden is 5 more than the width, what are the dimensions of the fence? Hint: draw a rectangle, and label all 4 sides for the length and width, given what you know this is the last question on my test please help me
Answers
Here are the steps
Each year, a car loses 25% of the value it had the previous year. If the value of a car is $12,500 during the first year it is owned, which function represents the value of the car after y years
Answers
Answer:
T=12500-0.25y
Step-by-step explanation:
Step one:
given data
The value of the car is $12500.
let the value of the previous year be T
let the number of years be y
25% will be 0.25----this is equivalent to the gradient
The expression for the change in price can be represented linearly using the equation of a straight line,
y=mx+c
but since the price is reducing the expression becomes
y=-mx+c
Now, in this situation the expression for the cost after y years is
T=-(0.25y)+12500
rearrange
T=12500-0.25y
The expression is T=12500-0.25y
Marlena solved the equation 2x + 5 = –10 – x. Her steps are shown below.
2x + 5 = –10 – x Use the drop-down menus to justify Marlena’s work in each step of the process.
Answers
Step-by-step explanation:
marlena steps should look like this:
2x + 5 = -10 - x
(minus 5 from both sides)
2x = -15 - x
(add x to both sides)
3x = -15
(divide by 3)
x = -5
Answer:
step 1 addition property of equality
step 2 subtraction property of equality
step 3 division property of equality
Which statements are true about the solution of 15 > 22+ x? Select three options.
OX-7
XS-7
The graph has a closed circle.
U -6 is part of the solution.
O-7 is part of the solution.
Answers
Answer:
[tex]x \leqslant - 7 \\ the \: graph \: has \: a \: closed \: circle \\ - 7 \: is \: a \: part \: of \: the \: solution[/tex]
B
15
C
А.
Find the length of "a"using
the Pythagorean Theorem.
Answers
Answer:
a = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is the hypotenuseStep-by-step explanation:
Step 1: Identify
We are given a right triangle. We can use PT to solve for the missing length a.
Step 2: Define
hypotenuse c = 15
leg b = 9
leg a = ?
Step 3: Find missing length a
Substitute in variables: a² + 9² = 15²Isolate a term: a² = 15² - 9²Exponents: a² = 225 - 81Subtract: a² = 144Isolate a: a = ±12Since we are not dealing with a quadrant triangle, we can disregard the negative root of the quadratic.
∴ a = 12 is our final answer.
jason buys 2 baseball bats for $300 what is the unit rate per bat
Answers
Answer:
300/2= $150
Hope this is what you are looking for!
Jimmy saw a tent which was $15 more than twice the cost of an air mattress. The total of both was $210. What was the cost of the tent and the air mattress?
Answers
Answer:
Tent: $145
Mattress: $65
Step-by-step explanation:
Tent: 2x + 15
Mattress: x
2x + 15 + x = 210
3x + 15 = 210
3x = 195
x = 65
Tent: 2x + 15 = 2(65) + 15 = 145
Mattress: x = 65
A pair of $36 jeans were on sale at Jim's Jeans for 1/3 off. The same pair of jeans were $42 at David's Denims. The jeans were on sale for 2/3 off.
Answers
Complete question :
A pair of $36 jeans were on sale at Jim's Jeans for 1/3 off. The same pair of jeans were $42 at David's Denims. The jeans were on sale for 2/3 off.
A.) which store had the better buy
B.) how much will you pay at the store that has the better buy
Answer:
A.)David's denim has the better buy
B.) $14
Step-by-step explanation:
Jim's Jean store :
Cost of Jean = $36
Discount = 1/3 off
Discounted cost = $36 - (1/3 * $36)
Discounted cost = $36 - $12 = $24
David's Denim:
Cost of Jean = $42
Discount = 2/3 off
Discounted cost = $42 - (2/3 * $42)
Discounted cost = $42 - $28 = $14
David's denim has the better buy with a discounted price lower than the discounted price at Jim's store.
Cost at store with the better buy is $14
Find the measure of the indicated angle to the nearest degree.
?= __∘
Answers
Answer:
x = 30°
Step-by-step explanation:
Use the sine rule:
help please I don't know how to do this
Answers
Answer:
1500 meters
Step-by-step explanation:
simplify the expression -2d-3+8d
Answers
Answer:
6d-3
Step-by-step explanation:
please help fast :(
A box contains five $1 bills, three $5 bills, one $10 bill and one $20 bill. Construct a PROBABILITY DISTRIBUTION for the data and DRAWA GRAPH. (Take a picture and submit with the test when you are done)
Answers
Answer:
Step-by-step explanation:
yes
: Frank bought 5 pounds of dog food for $8.75. At this
rate, how much would he pay for 8 pounds
Answers
Each pound is 1.75 so if you multiply that by 8 you get $14
Answer is $14
can someone please simplify this? :)
9x(8 * 9y) + 4
Answers
Answer:
648xy+4
Step-by-step explanation:
9x*72y + 4 = 648xy+4
Жилищен блок има еднакъв брой етажи във
всеки вход и еднакъв брой апартаменти на
всеки етаж. Броят на входовете е по-голям
от 1. Броят на апартаментите на етаж е по
голям от броя на входовете и по-малък о
броя на етажите. Колко са етажите, ак
броят на всички апартаменти е 105?
Answers
мой пипи действительно большой, и это круто
Find the equation of the line through point (−2,3) and parallel to y=x+1. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Answers
Answer:
y = x + 5
Step-by-step explanation:
The standard form of the slope-intercept is
y = mx + b
where m is the slope
According to this question, the slope is 1 for the given equation
If two lines are parallel, they have equal slopes
So the slope of the line we are trying to get is 1
We can now use the point-slope form to get the equation of the second line
Mathematically, that will be
y-y1 = m(x-x1)
where m is slope and (x1,x2) are the points given
So therefore;
y-3 = 1( x - (-2))
y-3 = x + 2
y = x + 5
HELP PLEASE SHOW YOUR WORK TO!!!!!!!
Answers
Answer:
V/3k = t
Step-by-step explanation:
Isolate the variable (t)
V = 3k/t
We have to get rid of 3 and k to isolate t
Since 3 and k are part of a fraction we can multiply it by their reciprocal
V = 3k/t × 1/3k
What we do to one side, we must do to the other
V × 1/3k = 3k/t × 1/3k
The reciprocals equals 1
V × 1/3k = t × 1
Any number or variable multiplied by 1 equals itself (applies to both sides of the equation)
V/3k = t
I need help with this assignment
Answers
Answer:
1) 3x = 2x + 50
3x - 2x = 50
X= 50
2)6x = 2x + 44
6x - 2x = 44
4x = 44
divide both sides by 4
X = 11
3)8x = 2x + 36
8x - 2x = 36
4x = 36
divide both sides by 4
X = 9
4) 4x = X + 18
4x - X = 18
3x = 18
divide both sides by 3
X= 6
5) 7x + 10 = 3x + 120
collect like terms
7x - 3x = 120 - 10
4x = 110
divide both sides by 4
X = 27.5
6) 20 + 2x = X + 56
collect like terms
2x - X = 56 - 20
X = 36
7) already done
8)12x + 12 = 3x + 84
collect like terms
12x - 3x = 84 - 12
9x = 72
divide both sides by 9
X = 8
9) 3 + 6x = 2x + 27
collect like terms
6x - 2x = 27 - 3
4x = 24
divide both sides by the coefficient of X (4)
X = 6
10) 8x + 2 = 72 + X
collect like terms
8x - X = 72 - 2
7x = 70
divide both sides by the coefficient of X (7)
X = 10
11) 2x + 20 = X + 60
collect like terms
2x - X = 60 - 20
X = 40
12). 4x + 1 = 25 + 2x
collect like terms
4x - 2x = 25 - 1
2x = 24
divide both sides by the coefficient of X (2)
X = 12
I hope this helps
A scuba diver used the expression below to describe his position in relation to sea level.
2 + (negative 20) + 8
Which statement could describe the diver’s movements?
Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.
Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.
Starting 2 feet below sea level, dive down 20 more feet, and then rise to a location that is 8 feet below sea level.
Starting 2 feet below sea level, dive down 18 more feet, and then rise to a location that is 8 feet below sea level.
Answers
Answer:
A I got it right on edge.
Step-by-step explanation:
A trapezoid. Sides R U and S T are parallel.
Examine the trapezoid. Which sides are parallel?
sides RU and ST
sides RS and ST
sides ST and UT
sides RS and UT
Answers
Answer:
Sides RU and ST
Step-by-step explanation:
Just did the quiz
p-1/4=5 1/4
(Change mixed number into a improper fraction first.)
PLZ HELLP WILL GIVE BRAINLY
Answers
p-1/4-(21/4)=0
Step by step solution :
STEP
1
:
21
Simplify ——
4
Equation at the end of step
1
:
1 21
(p - —) - —— = 0
4 4
STEP
2
:
1
Simplify —
4
Equation at the end of step
2
:
1 21
(p - —) - —— = 0
4 4
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 4 as the denominator :
p p • 4
p = — = —————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
p • 4 - (1) 4p - 1
——————————— = ——————
4 4
Equation at the end of step
3
:
(4p - 1) 21
———————— - —— = 0
4 4
STEP
4
:
Adding fractions which have a common denominator :
4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(4p-1) - (21) 4p - 22
————————————— = ———————
4 4
STEP
5
:
Pulling out like terms :
5.1 Pull out like factors :
4p - 22 = 2 • (2p - 11)
Equation at the end of step
5
:
2 • (2p - 11)
————————————— = 0
4
STEP
6
:
When a fraction equals zero :
6.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
2•(2p-11)
————————— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
2 • (2p-11) = 0
Equations which are never true:
6.2 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
6.3 Solve : 2p-11 = 0
Add 11 to both sides of the equation :
2p = 11
Divide both sides of the equation by 2:
p = 11/2 = 5.500
Simplify
3
−
5
×
3
−
8
×
3
8
leaving your answer in the form
a
n
where
a
is a whole number.
Answers
Answer:
that's the simplified way 24×15×38
Find the missing number so that the equation has no solutions.
4x+2=_x+12+x
Answers
Answer:
2
2 makes it able to never be solved. If I did this correctly
Answer:
yo d see was gotta at brb to fbh gwuhbytujv
You have 20 minutes to finish 10 math problems for homework. Write and solve an inequality that
represents how many minutes you can spend per problem.
HURRY PLEASE
Answers
Answer:
one min
Step-by-step explanation:
Answer: 2 minutes
20/10=2
If Professor Wilson found that the test scores of his students had a variance of 4.4, what is the standard deviation? Type a numerical answer in the space provided. Round your answer to the nearest tenth.
Answers
Answer:
The standard deviation will be: 2.1
Step-by-step explanation:
We know that standard deviation is basically the square root of variance.
Using the formula to calculate the standard deviation
[tex]s=\sqrt{s^2}[/tex]
As
The variance = s² = 4.4so the standard deviation can be calculated as:
standard deviation [tex]=\sqrt{s^2}[/tex]
[tex]=\sqrt{\left(4.4\right)^}[/tex]
[tex]=2.1[/tex]
Therefore, the standard deviation will be: 2.1
Which of the following is NOT true about the system of linear equations
represented by the graph shown below?
Answers
Answer: ayo
Answer:
A
Step-by-step explanation:
trust
19 - (- 41)
plzzzzzz help fast!
Answers
Answer:
60
Step-by-step explanation:
Is because when you have two negative -- signs it became positive
19 + 41 = 60
Answer:
60
Step-by-step explanation:
19 - (- 41) by the power of math, it turns into a positive and the subtraction sign to an addition
19 + (+41)
19+40= 60
Which expression is equal to (1.5)3? Select all that apply. A. 5.0625 B. 3.375 C. 4.5 D. 2.25 × 1.5 E. 2.5 × 1.25
Answers
Answer:
its B and D
Step-by-step explanation:
cause 1.5 times 1.5 times 1.5 is 3.375 which is (1.5) and the explanation for D is that 2.5 times 1.25 Is 3.375 which is (1.5) Hope i helped:)
The expression is equivalent to 3.375 and 2.25 × 1.5.
We have to determine
Which expression is equal to [tex](1.5)^3[/tex]?
The expression is equivalent to;
[tex]= (1.5)^3\\\\= 1.5 \times 1.5 \times 1.5\\\\= 3.375[/tex]
Therefore,
The expression is equivalent to;
[tex]= 2.25 \times 1.5\\\\= 3.375[/tex]
Hence, the expression is equivalent to 3.375 and 2.25 × 1.5.
To know more about Expression click the link given below.
https://brainly.com/question/19943359
if 6 litres of petrol cover's 60km , how many litres of petrol will a car need to cover 50km
Answers
Answer:
5 litres
Step-by-step explanation:
60 ÷ 10 = 6
50 ÷ 10 = 5
So 5 litres of petro
I hope this helped, please mark Brainliest, thank you!