x = [?]
3x + 18 4x + 15
Hint: When angles form a linear pair, their sum is 180.
3x + 18 + 4x + 15 = 180
![X = [?]3x + 18 4x + 15Hint: When Angles Form A Linear Pair, Their Sum Is 180.3x + 18 + 4x + 15 = 180](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/v0YHLP3vJCp2f6Mgorhv5QL0HqNriwwE.png)
Answers
Explanation:
3x + 18 + 4x + 15 = 180
7x + 33 = 180
7x = 180 - 33
7x = 147
x = 21
The solution for the value of x by definition of linear pair angle is 21.
Used the concept of linear pair angle that states,
The sum of a linear pair angle in a straight line would be 180 degrees.
Given that the two linear pair angles are,
(3x + 18) and (4x + 15)
Now, the sum of linear pair angles would be 180 degrees.
Hence, it can be written as,
(3x + 18) + (4x + 15) = 180°
Solve for x,
3x + 4x + 18 + 15 = 180°
7x + 33 = 180
Subtract 33 on both sides,
7x = 180 - 33
7x = 147
Divide 7 on both sides,
x = 147/7
Therefore, the value of x is,
x = 21
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Related Questions
Write the equation of the line that passes through the points (-6,8) and (8,8), Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line,
Answers
Whats the answer for number 7?
Answers
Explanation:
Something cannot be a function if there is more than one of the same number in the x coordinate. For C there are two 9’s in the x box.
The number of female nurses in a country can be predicted using the function f(t)=7,300 + 25t, where t is the number of years since 2000. The number of male nurses can be predicted using the function m(t) = 2,500(1.02)t, where t is the number of years since 2000. About how many years will it take before the number of male nurses is expected to exceed the number of female nurses?
Answers
It take 2 years for the number of male nurses to exceed the number of female nurses.
Given:
f(t) = 7,300 + 25t
m(t) = [tex]2,500(1.02)^t[/tex]
To find the value of t at which m(t) > f(t).
Let's set up the inequality:
[tex]2,500(1.02)^t > 7,300 + 25t[/tex]
We can start with t = 0 (year 2000) and increment t until m(t) exceeds f(t).
For t = 0:
m(0) = [tex]2,500(1.02)^0[/tex] = 2,500
f(0) = 7,300
Since m(0) < f(0), increase t.
For t = 1:
m(1) = [tex]2,500(1.02)^1 =[/tex] 2,550
f(1) = 7,300 + 25(1) = 7,325
Since m(1) < f(1), increase t as
For t = 2:
m(2) = [tex]2,500(1.02)^2 =[/tex] 2,601
f(2) = 7,300 + 25(2) = 7,350
Since m(2) > f(2), the number of male nurses is expected to exceed the number of female nurses after 2 years since 2000.
Therefore, it will take about 2 years.
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A school play sells adult and child tickets. On Friday they sold 55 child tickets and 20 adult tickets for $200. On Saturday they sold 72 child tickets and 36 adult tickets for $306. What is the cost of a child ticket?
Answers
Answer:
$2
Step-by-step explanation:
Let, price of individual child ticket is $x, and price of individual adult ticket is $y.
Now, on Friday we can write an equation is 55x+20y=200....(1).
and on Saturday we can write an equation is 72x+36y=306.....(2).
so, Equation 1: 55x+20y=200
Equation 2: 72x+36y=306
now, we are going to solve both equations.
after solving you will find x=2 and y=4.5
Hence, we can say that the cost of child ticket is $2, and the cost of adult ticket is $4.50.
The cost of a child's ticket will be $2.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Let, the price of an individual child ticket is $x, and the price of an individual adult ticket is $y.
Now, on Friday we can write an equation is 55x+20y=200....(1).
On Saturday we can write an equation is 72x+36y=306.....(2).
The first equation is:-
55x+20y=200
The second equation will be written as:-
72x+36y=306
Now, we are going to solve both equations. After solving you will find x=2 and y=4.5
Hence, we can say that the cost of a child ticket is $2, and the cost of an adult ticket is $4.50.
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PLEASE HELP!!
I dont understand stand how it works...
if possible, please explain how you got your answer.
Thanks!!
Answers
Answer:
C. 2.84%
Step-by-step explanation:
We are trying to figure out how much money will be made from the interest each year in percentage form so to set up the problem we need to first find the earnings from this year: 2,056.72 - 2,000 = 56.72
Then we will put 2,000 below that because that was the original full account deposit used to make the interest. 100 automatically goes on the other side because it is the full value of the percentage. Then solve the equation.
56.72 X
--------- = -------
2,000 100
To solve for X start by multiplying the diagonal numbers, in this case 56.72 and 100. Then divide by the remaining number, 2,000.
I hope this helps a little :)
17
The cost for dinner at a wedding venue in Austin is $32.50 per
person plus a rental fee of $475. Which equation can be used
to determine the total cost of dinner?
F(d) = 475d+ 32.50
G f(d) = 475 + 32.500
A fld) = 475d- 32.50
475/
I fld) = 32.500
Answers
Answer:
Step-by-step explanation:
Is their a 32.50d + 475? If not I don't know what the answer is because you have the same two things twice in a pattern.
Answer:
f(d) = 475 + 32.50dStep-by-step explanation:
Cost of dinner = $32.50 per personRental fee = $475Total cost per d persons:
f(d) = 475 + 32.50dQuestion 6 of 10- POOS
GR6_Math_T3_FSQ_FY21 Question: 1-6
Joe concluded that the expression 3x + 15 + 2x is equivalent to the expression 5(x + 3). Which of these best explains how Joe reached his conclusion?
o dividing each term in the first expression by 3
combining like terms in the first expression and dividing each term by 3
combining like terms in the first expression and dividing each term by 5
subtracting 20 and applying the distributive property to the first expression
Answers
Answer:
The correct option is c. Combining like terms in the first expression and dividing each term by 5.
Step-by-step explanation:
Joe concluded that the expression [tex]3x+15+2x[/tex] is equivalent to the expression [tex]5(x+3)[/tex].
Let's analyze each option :
a. Dividing each term in the first expression by 3.
If we perform this operation it will lead us to :
[tex]\frac{3x+15+2x}{3}=x+5+\frac{2}{3}x[/tex]
And if we sum each term ⇒ [tex]x+5+\frac{2}{3}x=5+\frac{5}{3}x=5(1+\frac{1}{3}x)[/tex]
Which isn't equivalent to the expression [tex]5(x+3)[/tex]
b. Combining like terms in the first expression and dividing each term by 3.
If we perform this operation it will lead us to :
[tex]3x+15+2x=15+5x[/tex] ⇒
[tex]\frac{15+5x}{3}=5+\frac{5}{3}x=5(1+\frac{1}{3}x)[/tex]
Which isn't equivalent to the expression [tex]5(x+3)[/tex]
c. Combining like terms in the first expression and dividing each term by 5.
If we perform this operation it will lead us to :
[tex]3x+15+2x=15+5x[/tex] ⇒ Now if we divide each term by 5 and then we multiply the expression by 5 (in order to keep the equivalence) ⇒
[tex]\frac{15+5x}{5}=3+x[/tex]
And then we multiply by 5 to keep the equivalence ⇒
[tex]5(3+x)[/tex]
Finally, using commutative properties ⇒ [tex]5(3+x)=5(x+3)[/tex]
Which is the same expression that Joe found.
The correct option is c. Combining like terms in the first expression and dividing each term by 5.
Anyway, let's analyze option d. Subtracting 20 and applying the distributive property to the first expression :
[tex]3x+15+2x-20=-5+5x=5(-1+x)[/tex]
Which isn't equivalent to [tex]5(x+3)[/tex]
Answer: The correct option is c. Combining like terms in the first expression and dividing each term by 5.
Step-by-step explanation:
Can someone actually help me please
Answers
Answer:
The second one y<2x-6
Step-by-step explanation:
Based on the shading we can tell that the sign is going to always be shaded on the right side. We see the line is dashed (its kinda hard to see) but a dashed line means none of the points on it can be part of the solution. If it was a solid line it would be ≤ and we see it's not so its <
Blank divided by 3/5=10/21
Answers
Answer:
Blank = 2/7
Step-by-step explanation:
The ratio of pens to pencils in Terrances case is 4:5. He has 16 pens.How many pencils does he have?
Answers
Answer:
20 pencils
Step-by-step explanation:
Ratio: 4:5 (4 to 5)
16: (?)
16 ÷ 4 (the 4 in 4:5) = 4
So:
4 x 5 = 20
Final Answer:
16:20
Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
What is the arc measure of this circle?
mCD=____ ?
Answers
Answer:
i think its just 80 degreed
Step-by-step explanation:
What is the slope of the line in the graph?
Pls helppp
Answers
Answer:
y = 1x +1
Step-by-step explanation:
1 is your b, you go up 1 over 1, 1/1, which equals 1. so your awnser is y=1x+1 :)
PLEASE HELP ME WITH ALGEBRA!! THANK YOU!!
Answers
Answer:
Maybe -2,0,2,4 but I'm not sureee
Eekkkkk sorryy
Simplify -1.5(-3.6+2)
Pleaseee people
Answers
Answer:
Your answer is 2.4
Step-by-step explanation:
Select three sets of numbers that can be the side lengths of a right triangle
5, 6, 8
7, 24, 25
8, 10, 12
20, 21, 29
12, 35, 37
Answers
Answer:
4th choice, 20, 21, 29 would be the answer.
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
a= 20, b= 21, c= 29 ( c has to be the C, hypotenuse, because it is the longest)
therefore,
20^2 + 21^2 = 29^2
into
400 + 441 = 841,
which is true, makes the Pythagorean Theorem work.
Fitness center A has a $60 enrollment fee and costs $35 per month. Fitness center B has no enrollment fee and costs $45 per month.
A) Identity the variables then write system of linear equations to represent the situation.
B) In how many months will both fitness centers cost the same? What will the cost be? Use the substitution method to solve this real-world application.
Answers
Given :
Fitness center A has a $60 enrollment fee and costs $35 per month. Fitness center B has no enrollment fee and costs $45 per month.
To Find :
A) Identity the variables then write system of linear equations to represent the situation.
B) In how many months will both fitness centers cost the same? What will the cost be? Use the substitution method to solve this real-world application.
Solution :
a) Linear equation of center A :
F = 35x + 60 ...1)
Linear equation of center B :
F = 45x ...2)
b) Let, after n months both fitness centers cost the same fee :
So, 35m + 60 = 45m
10m = 60
m = 6 months
Putting value of m in equation 1) or 2) is :
F = (35×6) + 60 = $270 or F = 45×6 = $270 .
Therefore, the cost when they have same fee is $270 .
Hence, this is the required solution.
Tickets to a football game cost $6 per ticket write and equation that represents this relationship between tickets purchased and total cost . Use t to represent the number of tickets purchased and c to represent the total cost
Answers
Given:
Tickets to a football game cost $6 per ticket.
To find:
The equation that represents this relationship between tickets purchased and total cost.
Solution:
Let t represents the number of tickets purchased and c represents the total cost.
Cost of 1 ticket = $6
Cost of t ticket = $6t
Since, c is the total cost oft tickets, therefore the equation for given situation is
[tex]c=6t[/tex]
Therefore, the required equation is [tex]c=6t[/tex].
4•f(6)-6•g(5)=?
i need help ASAP!
Answers
Answer:
6
Step-by-step explanation:
f(6) from the graph is -6
g(5) from the graph is -5
4*f(6)-6*g(5)=(4)(-6)-(6)(-5)=-24+30=6
Rodger has $2.30 in dimes and nickels. They're five more dimes than nickels. Find the number of each kind of coin that he has
Answers
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simplify the expression. -1/4 -(1 1/2)
Answers
Answer:
- 7/4
Step-by-step explanation:
Write a power that has a value greater than 140 and less than 145.
Answers
Answer:
[tex]12^{2}[/tex]
Step-by-step explanation:
To find: a power that has a value greater than 140 and less than 145
Solution:
Take [tex]x=12^{2}[/tex]
Here,
[tex]12^{2}=144[/tex] and [tex]140<144<145[/tex]
That is [tex]140<x<145[/tex]
Therefore,
[tex]12^{2}[/tex] has a value greater than 140 and less than 145.
HELP ASAP PLEASE
Larry has an account with amazon movies that costs him $75 per year to be a member of. He can rent movies for $3 each. He wants to keep under $300 per year. Solve the inequality that represents his situation for how many movies he can rent.
Answers
Answer:
300 is greater than 3x + 75
The equation you would use to solve would be
300=75+3x
x= the amount of movies he watches
meaning x= 75
300=75+3x
225=3x
x=75
he can rent up to 75 movies
59.126 + 951.2 round to the nearest hundreths
Answers
Answer:
1010.33
(:
Step-by-step explanation:
What is the radius and diameter of a circle 4.2 cm?
Answers
Answer:
is 4.2 the circumference
Step-by-step explanation:
Answer:
2.1 cm
Step-by-step explanation:
Lincoln High School's basketball team won the regional playoffs scoring a
total of 60 points, not including free throws. The team made a total of 26
baskets; some were 2-point shots, and the rest were 3-point shots. How
many 2-point shots did the team make?
Answers
Answer:
y = 8
x = 18
Step-by-step explanation:
(x + y = 26) x2 -1
2x+3y = 60 -2
2x+2y = 52 -1
2x+3y = 60 -2
Subtracting equation 2 from equation 1
= -y = -8
= y = 8
_____________________________________________________
2x+3y = 60
= 2x+3x8 = 60
= 2x+24 = 60
= 2x = 60-24
= 2x = 36
= x = 36/2
= x = 18
Help plz suppose the length of the fence was 1 1/3 how would you change the number lines to solve the problem? Just do it plz
Answers
Answer:
Step-by-step explanation: sowwy I dunno
Can someone please help me with this please?!
Answers
I hope this helped out! Have a nice day :)
What is the length of DF? Round to the nearest hundredth.
Answers
Answer:
7.06
Step-by-step explanation:
This triangle can be solved a couple of ways. In the end, they amount to the same thing.
1) The area is ...
A = 1/2bh = 1/2(8)(15) = 60 . . . using DG as the base
Using GE as the base, the height (DF) is ...
A = (1/2)(17)(DF)
2(60)/17 = DF = 120/17
DF ≈ 7.06
__
2) Using similar triangles, we can find the ratio of the long side to the hypotenuse as ...
(long side)/(hypotenuse) = DE/GE = DF/DG
DF = DG(DE/GE) = 8(15/17) = 120/17
DF ≈ 7.06
unit 5 lesson 4.3 quiz answers
Answers
Answer:
There is nothing here to answer
Step-by-step explanation:
can you help me simplify this
Answers
Answer:
B) 17
Step-by-step explanation:
3(4)+5
12+5