Given:
Two lines intersect each other.
Consider the below figure attached with this question.
To find:
The value of x.
Solution:
If two lines intersect each other then the vertically opposite angles are congruent and their measures are equal.
In the given figure, the measures of two vertically opposite angles are (2x+29)° and (9x-13)°.
[tex]2x+29=9x-13[/tex]
[tex]2x-9x=-29-13[/tex]
[tex]-7x=-42[/tex]
Divide both sides by -7.
[tex]x=\dfrac{-42}{-7}[/tex]
[tex]x=6[/tex]
Therefore, the value of x is 6.
Students at a local high school travel to school by car, bus, and bicycle. 1/5 of the 825 students Tavel by car, 48% of the students travel by bus, 0.08 of the students travel by bicycle. The remaining students travel to school by walking. How many students walk to the local high school?
Answer:
198 students walk to the local high school
Step-by-step explanation:
Total number students = 825
1/5 of the students travel by car
48% of the students travel by bus
0.08 of the students travel by bicycle
To find the number of students who wal to school we have to find the exact number of students who travel to school by car, bus and bicycle and subtract the result from the total number of students
Students who travel by car = 1/5×825
= 165 students
Students who travel by bus = 48% × 825
= 48/100 × 825
= 12/25 × 825
= 396 students
Students who travel by bicycle = 0.08 × 825
= 66
So now we add the results fo the equations above and subtract it from the total number of students to get the number of students that walk to school
Students that walk to school = 825 - (165 + 396 + 66)
= 825 - 627
= 198 students
Therefore 198 students walk to the local high-school
What is the median of this data set? Enter your answer as a decimal in the box median=
Median is the middle value.
Writing the values from smallest to largest you have :
1/8, 1/8, 2/8, 2/8, 2/8, 3,8, 3/8, 4/8, 5/8
There are 9 values. The middle value ( median) would be the 5th number ( this would give you 4 numbers below it and 4 numbers above it.
The Median is 2/8
Answer:
2/8 is the median. In decimal, it is 0.25.
Happy learning!
--Applepi101
Which expression is equivalent to 3√50 × √22 ?
Please show work :)
A. 15√22
B. 30√22
C. 30√11
D. 15√11
[tex]\longrightarrow{\green{C.\:30 \sqrt{11} }}[/tex] ✔
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]3 \sqrt{50} \times \sqrt{22} \\ \\ = 3 \sqrt{50 \times 22} \\ \\ = 3 \sqrt{1100} \\ \\ = 3 \sqrt{2 \times 2 \times 5 \times 5 \times 11} \\ \\ = 3 \sqrt{ {2}^{2} \times {5}^{2} \times 11} \\ \\ = 3 \times 2 \times 5 \sqrt{11} \\\\ = 30 \sqrt{11} [/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answer:
in all cases x/100 is just a way to represent percentage. and since it's the same everywhere, it's not even relevant to decide wich option describes the context right
A) 80/140 is the portion that describes the book readers over all people surveyed
B) 31/63 just 63 people are relevant bc it's specified that we only consider beach travelers.
that also explains the 31, bc that's the number of beach travelers who'd like to watch a movie
C) 15/80 only 80 movie watchers in total, of whom 15 would prefer the city
please help me y’all!!! extra points!!
Which of the following best describes the pattern in the diagram as you move
from the top to the bottom row?
1
2
3
A. Each row increases by 1 circle.
B. Each row increases by 2 circles.
C. Row 9 will contain 12 circles.
D. Row 7 will contain 10 circles.
Answer:
c
Step-by-step explanation:
Tina is making a cylindrical sandbox that has a radius of 2 feet. She brought 18.84 cubic feet of the sand for the sandbox.
At the beginning of the school year, 118 students are enrolled in 4th grade. The students are divided into 6 classes. Which is the best estimate of the number of students in each class? *
A 10
B 20
C 30
D 40
Answer:
b. 20
Step-by-step explanation:
divide 118 by 6 and round to 20
Answer:
20 you will get me when you round it
Frida goes shopping and buys one sweater for $35 and jeans that cost $25 per pair. She has $115. Which inequality represents the number of jeans Dalecia can buy.
Answer: i have no idea how do i get rid of this answer
Step-by-step explanation:
calculate 11010-1101 in base 2
Answer:
1101 base 2
Step-by-step explanation:
you first take the larger number up the the lower number down
11010 -1101when dividing if it's zero you borrow one from the number on the left hand side since it's in base 2 the number you borrow would be 2 then u subtract I hoped it helped uwhy is the relationship between distance and time linear?
Answer:
because as distance goes up so does distance
Answer:
as distance goes up so does the distance
Step-by-step explanation:
The diagram shows a door lock.
B
2
3
4
The code is a letter followed by a number.
Write down all the possible codes,
write your answers like this: (A, 1)
You must write all of your answers on one line.
help please and thank you
Answer:
40° D. is your answer to this question
Please Answer, giving Brainliest and 50 points to the best answer!
40 is the LCM of which two numbers?
20 and 60
40 and 80
10 and 40
5 and 20
Answer:
10 and 40
Step-by-step explanation:
Find the prime factorization of 10
10 = 2 × 5
Find the prime factorization of 40
40 = 2 × 2 × 2 × 5
Multiply each factor the greater number of times it occurs to find the LCM:
LCM = 2 × 2 × 2 × 5
LCM=40
(1)/(x^(-2))+(1)/(x^(-1))+(1)/(2)
Answer:
not touching x-axis
Step-by-step explanation:
the graph is not touching the x-axis, that is all i can say
Answer:
([tex]x^{2}[/tex] + [tex]x[/tex] + [tex]\frac{1}{2\\}[/tex] )
https://www.symbolab.com/solver/step-by-step/%5Cleft(1%5Cright)%2F%5Cleft(x%5E%7B%5Cleft(-2%5Cright)%7D%5Cright)%2B%5Cleft(1%5Cright)%2F%5Cleft(x%5E%7B%5Cleft(-1%5Cright)%7D%5Cright)%2B%5Cleft(1%5Cright)%2F%5Cleft(2%5Cright)
You can use the link above :))
What is the value of x in the equation?
3(x+6) --18
-36
0-33
-24
0-18
Answer:
x = 0
Step-by-step explanation:
3(x + 6) = 18
distribute
3x + 18 = 18
Subtract 18 from both sides
3x = 0
Divide both sides by 3
x = 0
What is the length of the line?
in circle O, the measure of ABC is 68. what is the measure of AC?
I need to find the sum of the interior angel
If = 6 units and = 8 units, what is the volume of the cylinder?
Use 3.14 for.
A. 678.24 cubic units
B. 414.48 cubic units
C. 904.32 cubic units
D. 527.52 cubic units
Answer:
C. 904.32 cubic units
Step-by-step explanation:
the volume = π×r²×h
= 3.14 × 6²×8
= 3.14×288
= 904.32
What is the value of x?
(4x + 15)
11xº
O A. X = 5
O B. X = 11
O C. X = 59
O D. X = 121
Step-by-step explanation:
(4x+ 15)° + 11x° = 180° ( linear pair )
4x + 15 +11x = 180
15 x + 15 = 180
15x = 180-15
15x= 165
x= 165/15
x= 11
WHOEVER ANSWERS FIRST WINS BRAINLIEST!
Multiply.
4 1/6 × 5 3/5
Answer and Step-by-step explanation:
Convert the numbers into improper fractions.
[tex]\frac{25}{6} ,\frac{28}{5}[/tex]
Now, multiply the numbers.
[tex]\frac{700}{30}[/tex]
Finally, simplify.
[tex]\frac{70}{3}[/tex] is the answer.
#teamtrees #PAW (Plant And Water)
find the value of x what makes DEF ~ XYZ
Answer:
x = 4
Step-by-step explanation:
[tex]\frac{14}{2x-1} = \frac{10}{5} \\10(2x-1) = 5*14\\20x - 10 = 70\\20x = 70+10\\20x = 80\\x = 80:20\\x = 4[/tex]
Can someone help please
Answer:
geometric
common ratio 2/3
Step-by-step explanation:
We know that the sequence is not arithmetic
3-2 =1
2-4/3 = 6/3 -4/3 = 2/3
The common difference is not the same
Now check geometric
The common ratio:
Take the second term over the first term
2/3
Now take the third term over the second term
4/3 ÷ 2
4/3 * 1/2 = 2/3
The common ratio is the same so the sequence is geometric with a common ratio of 2/3
The sum of 4 and y divided by 5 equal to 9. Find the value of y.
pls a better solution
Answer:
y=41
Step-by-step explanation:
Let us start by writing an equation. 4 plus y divided by 5 equals to 9 :
[tex]\frac{4+y}{5}=9[/tex]
Great! Now let us solve for the variable, y, by isolating the terms:
[tex]4+y=45\\y=41[/tex]
I hope this helps! Let me know if you have any questions :)
Find the arc length and show work!
- Marking brainliest
Answer:
87.965 in.
Step-by-step explanation:
1) the formula of full arc is L=2π*r, the formula of the required 7π/4 is:
L=7π/4 *r;
2) according to the formula above:
L=7π*16/4=28π≈87,964594300514210676954014731826 (in).
What is the range of y = sinx in the interval - π ≤ x ≤ 0?
-1 ≤ y ≤ 1
-1 ≤ y ≤ 0
0 ≤ y ≤ 1
y ≤ 1
Answer:
[tex]-1 \le y \le 1[/tex]
Step-by-step explanation:
Let be [tex]y = \sin x[/tex], the range of the function corresponds to the set of values of [tex]y[/tex]. The sine function is a bounded function between -1 and 1. Hence, the range of the function is:
[tex]-1 \le y \le 1[/tex]
If the neighborhood holds 13 total games and all 50 athletes participate, how many 6-player games and how many 2-player games are played? Write and solve a system of equations .
pllzz help 20 pointsss
Answer:
13 points
Step-by-step explanation:
Equation for "There are 50 athletes signed up for a neighborhood basketball competition. Players can select to play in the 6-player games ("3 on 3") or the 2-player games ("1 on 1").
Equation for "If the neighborhood holds 13 total games and all 50 athletes participate"
How many 6 player games?
How many 2 player games?
The answer to this question is:
7 two-player games are played
6 six-player games are played
What are system of equations?
A collection of two or more equations with the same set of unknowns is referred to as a system of equations.
Systems of linear equations in two variables can be solved in one of three ways:
by graphing; by the substitution approach; or by the elimination method.Solution:
Given:
Total games = 13
Total number of athletes participated = 50
Find:
6-player games played = ?
2-player games played = ?
Step-1:
let x denote the total 2-player games played &
y denote the total 6-player games played.
Hence the equation for the total number of games played is:
x + y = 13 ..............eq(1)
Now, the equation for the total number of games played by the athletes is:
2x + 6y = 50............eq(2)
Further eq(2) can be reduced as-
2(x + 3y) = 50
x + 3y = 50/2
x + 3y = 25.........eq(2)
Step-2:
Solving eq(1) and eq(2) by using elimination method as follows:
x + y = 13
x + 3y = 25
Step-3:
In the elimination method positive signs changes to negative and x gets eliminated so we get the y value as:
-2y = -12
y = 6
Substituting y value in eq(1): x+ y = 13
x + 6 = 13
x = 13 - 6
x = 7
Hence we found out that total 7 two-player games and 6 six-player games were played.
Learn more about "System of equations" here:
brainly.com/question/13729904
#SPJ2
Nalini is a real estate agent. She is paid
2.9% commission on the sale of a home. If
she sells a home for $259 000, what will
her commission be?
What is the solutions to the 2 system of equations? The X and Y have to be the same for both equations.
5x+4y=12
3x+6y=8
Answer:
x = 5, y = 7
Step-by-step explanation:
x – y = -2 ——— 1
5x – 4y = -3 —– 2
x = -2 + y ——— 3
3 in 2 ≈ 5(-2 + y) – 4y = -3
-10 + 5y – 4y = -3
y = -3 + 10
y = 7
Putting y = 7 in 3, we have;
x = -2 + (7)
x = 5
Hence (x, y) = (5, 7)