Answers
Answer:
x = 5°
Step-by-step explanation:
We know that in a triangle, the measure of an exterior angle is equal to the sum of its two remote interior angles, therefore:
7x + 4 + 61 = 20x
7x + 65 = 20x
13x = 65
x = 5°
Answer:
Solution given:
61°+(7x+4)°=20x [ exterior angle is equal to the sum of two opposite interior angle]
65+7x=20x
65=20x-7x
13x=65°
x=[tex] \frac{65}{13} [/tex]=5°
value of x=5°
Related Questions
There were 94,172 people at a football game, which digit is in the thousand place in this number
Answers
Answer: 4
Step-by-step explanation:
94,172
ten thousands, thousands, hundreds, tens, ones
According to the list of places, 4 is the thousand place in 94,172.
Hope this helps!! :)
Please let me know if you have any question
Answer: In this number, 4 is the thousands place.
Step-by-step explanation:
So we have to find the thousands place in this number:
94,172
Label it:
9 4 1 7 2
ten thousands thousands hundreds tens ones
Therefore, 4 is the thousands place.
Hence, your answer.
The city planning committee wants one tree planted every 20 ft along Dayton Ave. if the perimeter of the plot of land is 234 ft about how many trees will be planted. explain. 12 is an incorrect answer.
Answers
Answer:
2 trees
Step-by-step explanation:
Since the city is planting a tree every 20 feet across Dayton Avenue, then we need to find the length of the side that is on Dayton Avenue.
We are missing 3 sides to this. But it's extremely important to note that the side adjacent to Dayton Avenue is the same length as the other missing two sides combined. This is because both of these lengths contain the 1 feather and 2 feather mark - these signify congruence.
This means that the side lengths of both of them combined will be [tex]234-52-68=114[/tex]
This means the side adjacent to Dayton Avenue is
[tex]114\div2=57[/tex] feet long.
Now that we know that the side is 57 feet long, we have to divide this by 20, as a tree is being placed every 20 feet. If we get a decimal, we will have to round down because it gets planted only, and only if, 20 more feet has been accomplished. If we are a fraction of the way there, a tree doesn't get planted.
[tex]57\div20=2.85[/tex]
Rounding down gets us 2.
Hope this helped!
The number of trees to be planted is 2 trees
The process of arriving at the above number of trees is as follows;
The given parameter are;
The perimeter of the plot of land adjacent to Dayton Avenue = 234 ft.
The perimeter has two pair of unknown lengths sides marked with equal lengths symbols
One length each of the two congruent pairs form a linear pair adjacent to the road
The length of one of the other side = 52 feet
The length of the fifth side of the perimeter = 68 ft.
Method;
Let, x, and y represent the lengths of the congruent pairs, we have;
52 ft. + 68 ft. + 2·x + 2·y = 234 ft.
2·x + 2·y = 234 ft. - (52 ft. + 68 ft.) = 114 ft.
The length of the linear pair forming the side of the perimeter adjacent to the road, x + y = 114 ft./2 = 57 ft.
The number of trees planted every 20 ft. = 1 tree
The number of trees, n, that can be planted along the perimeter of the plot of land adjacent to Dayton Avenue which is 57 ft. long is therefore;
n = 57 ft./(20 ft./Tree)
∴ n = 57/20 Trees = 2.85 trees
The number of trees that can actually be planted by the owners of the plot
of land is given by rounding down to the next whole number, given that the
the information is statistical analysis which gives;
n ≈ 2 Trees
The number of trees to be planted = 2 trees
Learn more about statistical analysis here;
https://brainly.com/question/3014289
7(6-2A)=5(-3A+1) help need steps and answer!
Answers
Answer:
A = -37
Step-by-step explanation:
7(6-2A)=5(-3A+1)
Distribute
42 - 14A = -15A +5
Add 15A to each side
42 - 14A +15A= -15A+15A +5
42+A = 5
Subtract 42 from each side
42+A -42 = 5-42
A = -37
Simplify the expressions. Type in your answer with no spaces.)
3(x + 1) - 2(x-4)
Answers
Simplify the expression.
x+11
Hope this helps (❁´◡`❁)
Answer:x+11
Step-by-step explanation:distribute the combine like terms
Which of the following domains represent where the function f(x) = 2(2 - 5)2 + 3 is invertible?
А.
225
B.
IS 3
035
D
2 3
Answers
Answer:
a
Step-by-step explanation:
Evaluate the expression below for s=4 and t=7. 3st^2 - s^2
Answers
Answer:
572
Step-by-step explanation:
3(4)*(7)^2-4^2
The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth. If a person weighs 180 pounds on the surface of the earth and the radius of the earth is 3900 miles, what will the person weigh if he or she is 325 miles above the earth's surface? Round your answer to the nearest hundredth of a pound.
Answers
Answer:
D. 153.37 lb
Step-by-step explanation:
I chose C and it said the Correct answer is D
Can somebody help me with this math problem?
Answers
Answer:
i can't give answer because i cant see full graph but plot point A then draw a diagonal line through point M until your in the top right square and the line hits a point
Step-by-step explanation:
Answer: (-11, -5.5)
Step-by-step explanation:
Use Midpoint formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]
Midpoint M= (-9, -3)
(x1, y1)=(-7, -0.5)
-------------------------------------------------
[tex]\frac{x1+x2}{2}[/tex]=-9
-7+x2=-18
x2=-11
---------------------------------------------
[tex]\frac{y1+y2}{2}[/tex]=-3
-0.5+y2=-6
y2=-5.5
(-11, -5.5)
Hope this helps!! :)
Please let me know if you have any question
A printer prints 4 photos each minute. Let P be the number of photos printed in M minutes. Write an equation relating P to M . Then graph your equation using the axes below. Please include graph!
Answers
Answer:
sorry i accidently put stuff in the comments
equation:
T=4M
graph: y=4x (pic is included)
The equation relating P to M is P = 4M and the graph will be a linear graph that passes through the origin.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
A printer prints 4 photos each minute. Let P be the number of photos printed in M minutes. Write an equation relating P to M.
P = The number of photos printed in M minutes
M = The number of minutes.
P = 4M
Because the printer prints 4 photos each minute.
The graph will be a linear graph that passes through the origin.
Thus, the equation relating P to M is P = 4M and the graph will be a linear graph that passes through the origin.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
50% of 80 solve pls show working
pls I know it just try working it
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{40}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{50 \: \% \: of \: 80}[/tex]
To convert the percent into a fraction , divide it by 190 and remove the % symbol. Then , Simplify the fraction to its lowest term.
⇒[tex] \sf{ \frac{50}{100} \times 80}[/tex]
⇒[tex] \sf{ \frac{1}{2} \times 80}[/tex]
Divide 80 by 2
⇒[tex] \sf{40}[/tex]
Hope I helped!
Best regards!!
Answer:
40
Step-by-step explanation:
50% of 80 is just 0.5 x 80 = 40
When 12 is divided by 3/4
which statement about the quotient is true? It is equal to 12 3/4, it is greater than 12, is greater than 3/4 but less than 12, it is less than 3/4 
Answers
Answer: 2 Answers By Expert Tutors
The rule for division by a fraction is "change to multiplication by the reciprocal." So you want(4/3)(12) which is 4(4) = 16
Step-by-step explanation:
00:00
Brandy made 7 batches of cookies. Each batch contained 12 cookies.
She put the same number of cookies in each of 5 bags. How many cookies were NOT put in bags?
16 cookies
12 cookies
4 cookies
2 cookies
Answers
Answer:
4 cookies
Step-by-step explanation:
The remainder of (7x12)/5 is your answer.
first you multiply 7 by 12 and you get 84
then you divide 84 by 5 and you take the remaining cookies represented by decimals and you get 4
How many adults who have been told that they have hypertension would you expect to find in a sample of 20
Answers
Answer: 24
Step-by-step explanation:
Solve for w.
16w − 15w = 20
Answers
1w=20
1/1=20/1
W=20
Does a point have any dimensions ?
Answers
Answer:
NO
Step-by-step explanation:
Points do not have dimensions.
Answer:
no
Step-by-step explanation:
Samantha is wall papering her bedroom and wants to make sure that she bought enough wall paper. Each wall in her room measures 10 feet by 11 feet. How many rolls of wall paper will Samantha need if each roll covers a total of 25 square feet.
Answers
Answer:
4.4 rolls of wallpaper
Step-by-step explanation:
Dimensions of Samantha's room= 10 feet by 11 feet
Length= 11 feet
Width= 10 feet
Area of Samantha's room= Length × width
= 11 feet × 10 feet
= 110 square feet
Each roll covers a total of 25 square feet
Total rolls of wallpaper = Area of the room / Area covered by each roll
=110 square feet / 25 square feet
= 4 10/25
= 4 2/5
= 4.4 rolls
Jeans were $11.50 with a 15% sales tax. What is the sales tax?
Answers
Answer:
1.50
Step-by-step explanation:
Answer:
[tex]\huge\boxed{\$ \ 1.725}[/tex]
Step-by-step explanation:
Costing Price = $ 11.50
Tax = 15% of $11.50 :
=> [tex]\sf \frac{15}{100} * 11.50[/tex]
=> [tex]\sf 0.15 * 11.50[/tex]
=> $1.725
So, Sales tax is $1.725
Nancy decides to roll a die three times. What's the probability that she will roll all even numbers?
Answers
Answer:
1/8
Step-by-step explanation:
The probability of rolling an even number on one roll is 3/6 = 1/2. Assuming the rolls are independent, the probability of rolling an even number 3 times is ...
(1/2)(1/2)(1/2) = 1/8
The probability that Nancy rolls all even numbers in 3 rolls is 1/8.
The probability that she will roll all even numbers is 1/8.
It should be noted that there are 6 numbers in one roll of a dice. Therefore, there are 3 even numbers and 3 odd numbers.
The probability of getting even numbers in one roll will be:
= 3/6 = 1/2
The probability that she will roll all even numbers will be:
= 1/2 × 1/2 × 1/2
= 1/8
Read related link on:
https://brainly.com/question/17223144
Solving these quadratics for x using complete the square 3x^2-4x-1=0. Show your work.
Answers
x = ( – sqrt(7) + 2)/3
Explanation:
3x^2 - 4x - 1 = 0
Divide both sides by 3:
3x^2/3 - 4/3x - 1/3 = 0/3
x^2 - 4/3x - 1/3 = 0
x^2 - 4/3x = 1/3
x^2 - 4/3x + (2/3)^2 = 1/3 + (2/3)^2
(x - 2/3)^2 = 1/3 + 4/9
(x - 2/3)^2 = 7/9
Sqrt both sides:
x - 2/3 = sqrt (7/9)
x - 2/3 = |sqrt(7)/3|
Set x -2/3 = sqrt(7)/3
=> x = (sqrt(7) + 2)/3
Set x - 2/3 = - sqrt(7)/3
=> x = ( - sqrt(7) + 2)/3
"Scenario: You have to pay your share of the rent today. The total rent for your apartment is $1762.50. You have two roommates that you share the costs. You owe 1/3 of the rent. You checked your account balance online and your current balance is $668.72"
Answers
Answer:
You would be required to pay $587.50
Step-by-step explanation:
Divide $1762.50 by three:
You get $587.50
To find how much you have left:
Subtract 587.50 from 668.72:
You'd be left with
$81.22
Answer:
If you are asking if you can afford to pay rent, then yes you can. Your share of rent would be 1762.50 divided by 3, which equals 587.50. Therefore since 587.50 is less than 668.72, you can afford to pay your rent. Hope this helps!
Step-by-step explanation:
The value of β is:
A)60º
B)45º
C)90º
D)30º
E)75º
Answers
Answer:
A
Step-by-step explanation:
To solve this problem, it is best to identify the sides (opposite, adjacent, hypotenuse) in terms of β. Since the adjacent side of β is 3 and the hypotenuse is 6, we know that cos(β) = 3/6 = 1/2. That means β = 60º, which is choice A.
If you would like more tutoring in math or other subjects for FREE, check out growthinyouth.org.
The following graph describes function 1, and the equation below it describes function 2:
Function 1
graph of function f of x equals negative x squared plus 8 multiplied by x minus 15
Function 2
f(x) = −x2 + 2x − 3
Function ____ has the larger maximum.
(Put 1 or 2 in the blank space)
Answer:
Answers
Answer:
Function 1 written in vertex form is f(x) = -x^2 + 8x - 15 = -(x^2 - 8x + 15) = -(x^2 - 8x + 16 + 15 - 16) = -(x - 4)^2 - (-1) = -(x - 4)^2 + 1
Therefore, vertex = (4, 1)
Function 2 written in vertex form is f(x) = -x^2 + 4x + 1 = -(x^2 - 4x - 1) = -(x^2 - 4x + 4 - 1 - 4) = -(x - 2)^2 - (-5) = -(x - 2)^2 + 5
Therefore vertex = (2, 5)
Function 1 has a maximum at y = 1 and function 2 has a maximum at y = 5. Therefore, function 2 has a larger maximum.
Step-by-step explanation:
Which of the following expressions are equivalent to this expression:
-1(0) = ?
-14 + (-4)]
-1[4 + (4)]
1+ [4 +(-4)]
-11-4 + (-4)]
Answers
Answer:-1[4+(-4)]
Step-by-step explanation:
4 and -4 are equaled to 0. So it is -1(0)
Answer:
A
Step-by-step explanation:
A disinfectant spray bottle say it eliminates 90% of bacteria with each application. You apply the disinfectant once to a countertop in the shipping department and then apply the disinfectant again to the same countertop. If the bottle is correct what percentage of the bacteria originally on the table top have been eliminated
Answers
Answer:
%180?
Step-by-step explanation:
90+90 is 180
what are the coefficients of 8+5x-y
Answers
Answer:The coefficients are the numbers that multiply the variables or letters. Thus in 5x + y - 7, 5 is a coefficient. It is the coefficient in the term 5x. Also the term y can be thought of as 1y so 1 is also a coefficient.A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1. ... Example: In ax2 + bx + c, "x" is a variable, and "a" and "b" are coefficients.First of all, coefficent means the number standing in front of a variable.
So, according to the expression, 2 - 5x - 4 + 8, the coefficient is -5.
Why? because it stands in front of the variable.
Step-by-step explanation:
6 13 51
4 7 29
19 11 ?
What the missing number?
Answers
Answer:
I think the answer is 3 ( Maybe)
4. What is the correct simplified form? See picture
Answers
Answer:
option 3
Step-by-step explanation:
The local gym offers classes in dance and gymnastics. The gym has 10 dance classes for each 15 gymnastics classes. How many gymnastics classes are there for each dance class?
Answers
When a number is increased by 9.5%, the result is 58. What is the original number to the nearest tenth?
Answers
Answer:
50
Step-by-step explanation:
58 - 9.5
Answer:
Your correct answer is 52.49
Step-by-step explanation:
Subtract.
58 - 9.5% = 52.49
Hasan has an annual income of $24,000. He decides to take classes on line and at night so that he can continue to work. After 3 years he gets his degree and immediately starts earning $30,000 per year. If it takes Hasan 6 years to recover his investment for his education, how much did it cost him?
Answers
Answer:
$36,000
Step-by-step explanation:
The difference in income is $6000. After 6 years, the extra income totals to $36,000. So that was the cost of the investment.