Answer:
77.4774 yards
Step-by-step explanation:
Friend 1 runs 39.2392 yards in direction X
Friend 2 runs 24.8248 yards in direction Y
Friend 2 runs another 13.4134 yards in direction y
Distance between The two friends
starting from Origin ( 0 ) = 39.2392 + 24.8248 + 13.4134
= 77.4774 yards
parallel lines, transversal, and algebra really need help
Answer:
1. 58 = 5x-2, 60 = 5x, x = 12
2. 134 = 16x+22, 112 = 16x, x = 7
3. 125 = 7x-1, 126 = 7x, x = 18
4. 133+9x+2 = 180, 9x=45, x=6
5. 8x-77 = 3x+38, 5x = 115, x=23
6. 11x-47 = 6x-2, 5x = 45, x=9
7. 13x-21 = 5x+75, 8x = 96, x=12
8. 5x+3+9x-33 = 180, 14x = 210, x=15
9. 8x-31 = 6x+3, 2x = 34, x=17
5y+35+6(17)+3 = 180, 5y = 40, y = 8
10. 29x-3+15x+7 = 180, 44x = 176, x=4
13y-17+15(4)+7 = 180, 13y = 130, y=10
1. x = 12
2. x = 7
3. x = 18
4. x = 5
5. x = 23
6. x = 9
7. x = 12
8. x = 15
9. x = 17; y = 8
10. x = 4; y = 10
To find the value of each missing variable(s), we would need to apply our knowledge of algebra. However, recall the following rules of angles in parallel lines:
corresponding angles are congruent (i.e. equal to each other)vertically opposite angles are congruent alternate angles are congruent same-side interior angles are supplementary (i.e. sum up to give 180°alternate exterior angles are congruent.Let's solve the given problems as shown below given that line l is parallel to line m:
1. [tex]58 = (5x - 2)[/tex] (corresponding angles)
solve for x
[tex]58 = 5x - 2\\58 + 2 = 5x - 2 +2[/tex] (addition property of equality)
[tex]60 = 5x \\\frac{60}{5} = \frac{5x}{5}[/tex](division property of equality)
[tex]12 = x\\x = 12[/tex]
2. [tex]134 = 16x+22[/tex] (alternate exterior angles)
[tex]\\134 - 22 = 16x +22-22[/tex] (subtraction property of equality)
[tex]134 - 22 = 16x +22-22\\112 = 16x\\\frac{112}{16} = \frac{16x}{16}[/tex](division property of equality)
[tex]7 = x\\x = 7[/tex]
3. [tex]7x - 1 = 125[/tex] (alternate angles)
[tex]7x - 1 + 1 = 125 + 1\\7x = 126\\\frac{7x}{7} = \frac{126}{7} \\x = 18[/tex]
4. [tex](9x+2) + 133 = 180[/tex] (same-side interior angles)
[tex]9x+2 + 133 = 180\\9x + 135 = 180\\9x + 135 - 135 = 180 - 135\\9x = 45\\\frac{9x}{9} = \frac{45}{9} \\x = 5[/tex]
5. [tex]3x+38 = 8x-77[/tex] (alternate exterior angles)
[tex]77 + 38 = 8x - 3x\\115 = 5x\\\frac{115}{5} = \frac{5x}{5} \\23 = x\\x = 23[/tex]
6. [tex]6x-2 = 11x-47[/tex] (corresponding angles)
[tex]6x-2 = 11x-47\\47 - 2 = 11x - 6x\\45 = 5x\\x = 9[/tex]
7. [tex]5x+75 = 13x - 21[/tex] (alternate angles)
[tex]5x+75 = 13x - 21\\21 + 75 = 13x - 5x\\96 = 8x\\12 = x\\x = 12[/tex]
8. [tex](5x+3)+(9x-33)= 180[/tex] (same-side interior angles)
[tex]5x+3+9x-33= 180\\14x - 30 = 180\\14x - 30 + 30 = 180 + 30\\14x = 210\\x = 15[/tex]
9. [tex]8x-31 = 6x+3[/tex] (alternate angles)
[tex]8x - 6x = 31 + 3\\2x = 34\\x = 17[/tex]
Solve for y
[tex](5y + 35) + (6x + 3) = 180[/tex] (same-side interior angles)
[tex]5y + 35 + 6x + 3 = 180\\[/tex]
Plug in the value of x
[tex]5y + 35 + 6(17) + 3 = 180\\5y + 35 + 102 + 3 = 180\\5y + 140 = 180\\5y = 180 - 140\\5y = 40\\y = 8[/tex]
10. [tex](29x-3)+(15x+7) = 180[/tex](supplementary angles)
Solve for y
[tex]13y - 17 = 29x - 3[/tex] (alternate exterior angles)
Plug in the value of x
[tex]13y - 17 = 29(4) - 3\\13y - 17 = 116 - 3\\13y - 17 = 113\\13y = 113 + 17\\13y = 130\\y = 10\\[/tex]
Learn more about parallel lines here:
https://brainly.com/question/16227989
I really need help with my practice final
Answer:
$3,665
Step-by-step explanation:
Treys gas tank is 1/6 full. After he buys 14 gallons of gas, it is 3/4 full. How many gallons can Treys tank hold?
Answer:
Goran's gas tank is 1/6 full. After he buys 14 gallons of gas, it is 3/4 full. How many gallons can Goran's tank hold?"
Let x = gallons to fill the tank
14
multiply by 12
12*3%2F4x = 12*1%2F6x + 12(14)
3(3x) = 2x + 168
9x - 2x = 168
7x = 168
x = 168/7
x = 24 gallons
:
see if that is true
1%2F6*24 + 14 = 18 gallons which is 18/24 = 3/4 of the tank
Gavin is a sales person. He sold at able for $477
and earned 20% commission. How much commission did Gavin earn?
Answer:
95.40
Step-by-step explanation:
first u do 10% and that is 47.7
then 20% is 47.7 times 2 and that is 95.40
Answer:
[tex]\huge\boxed{\sf \$ \ 95.4}[/tex]
Step-by-step explanation:
Commission = 20 % of $477
[tex]\sf = \frac{20}{100} * \$ \ 477\\\\= 0.2 * \$ \ 477\\\\= \$ \ 95.4\\\\He \ got \ a \ commission \ of \ \$ \ 95.4\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807The sum of two numbers is 125. Their difference is 47. The two numbers are:
39 and 86.
40 and 85.
47 and 78.
None of these choices are correct.
Answer:
39 and 86.
Step-by-step explanation:
39 and 86 equal 125 when added. When 47 is subtracted from 86 you get 39.
A school group is planning a trip to Jacksonville, Florida. There are 29 people going on the trip. They have agreed to share the total cost of the trip equally. Let s equal each person’s share of the cost. What is each person’s share of the cost? Solve this problem any way you choose. bus cost 7,830$ the hotel cost 10,034$ the meal cost 812$ the event ticket cost 435$ the cost of eveyting is 19,111$
Answer:659
Step-by-step explanation:
Logan is working two summer jobs, making $18 per hour tutoring and making $10 per hour clearing tables. In a given week, he can work a maximum of 13 total hours and must earn at least $170. If xx represents the number of hours tutoring and yy represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.
Answer: he could work 7 hours tutoring and 6 hours clearing tables
Step-by-step explanation:
The system of inequalities can be used to find the number of hours Logan
can spend on each job in a week.
Response:
The system of inequalities are;
x + y ≤ 1318·x + 10·y ≥ 170A possible solution of the system of inequality obtained from the graph is the point (5, 8)
x = 5, and y = 8Methods used to solve the inequality graphicallyThe amount Logan makes per hour tutoring = $18 per hour
The amount he makes clearing tables = $10 per hour
Number of hours Logan can work in a week = 13
Amount he must earn in a week = At least $170
Number of hours he spends tutoring = x
Number of hours he spends clearing tables = y
Based on the given information, we have;
x + y ≤ 1318·x + 10·y ≥ 170Please find attached the graph of the above inequality showing the feasible region.
A possible solution obtained from the feasible region is the point of intersection of the two inequalities which is the point (5, 8), which gives;
A possible solution is x = 5, y = 8Therefore, Logan can spend 5 hours tutoring and 8 hours clearing tables in a week to work for 13 hours and make $170.
Learn more about inequalities here:
https://brainly.com/question/8284035
Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision.
Answer:
Step-by-step explanation:
Evan was not correct 125% means he over doubled his time doing homework. To double his time he would need 40 hours, and he only did 25.
Please help me solve this.
Answer:
9
Step-by-step explanation:
13*3=39
48-39=9
Answer:
48-39=9
^
(13 x 3=39)
Gabriel lives in a state where the sales tax rate is 6.25%. If Gabriel purchase an item for $60.00, how much sales tax does he need to pay for his purchase?
Answer:
Gabriel needs to have $3.75 for sales tax.
Step-by-step explanation:
A sales tax rate of 6.25% means that 6.25 cents is going to be charged for tax for each dollar you spend. (Because 6.25% of $1.00 is 6.25 cents.)
If he was spending $10, the sales tax would be 62.5 cents (6.25 cents per dollar x 10 dollars). Since he is spending $60 on this item, the equation would be (6.25 cents per dollar x 60 dollars) (6.25 cents x 60 = 375 cents).
And 375 cents equals $3.75.
I need help again!!!!
Answer:
Step-by-step explanation:
221/17= 13 miles per hour over
30 limit + 13 over = 43mph
Answer:
43
Step-by-step explanation:
ANSWER PLEASE 40 POINTS!
Answer: |10 - (-8)|
The absolute value is 18
Step-by-step explanation:
The distance between two numbers is a subtraction equation.
10 - (-8) Subtracting a negative is like adding a positive
10 + 8 = 18
If you look at it as the first negative sign means -1 multiplied by the next negative number, "Remember that a negative times a negative is a positive!"
Answer:
|-10 - (-8)|
Step-by-step explanation:
Distance from 10 to 0: 10Distance from 0 to -8: 8Put them together (with absolute value): |-10 - (-8)|I hope this helps!
Permutations vs combinations(one step):
The bowling team at Lincoln High School must choose a president, vice
president, and secretary. If the team has 15 members, which expression could
be used to determine the number of ways the officers could be chosen?
Answer:
the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]
and 2730 different ways are possible.
Step-by-step explanation:
In the given question we have to choose a president, vice
president, and secretary.
Permutations are used when order is important so, as in the given question order is required. We would use permutations
The formula used is: [tex]^nP_r=\frac{n!}{(n-r)!}[/tex] where:
n=total number of objects
r=number of objects selected
In our case: n=15, r=3
Putting values and finding the answer:
[tex]^nP_r\\^{15}P_3=\frac{15!}{(15-3)!} =2730 \ ways[/tex]
So, the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]
and 2730 different ways are possible.
which of these is a composite number? 4 2 6 8
Step-by-step explanation:
4,6 and 8 are composite numbers
and 2 is an prime number
hope it helpful
Answer:
4 , 6 , & 8 are composite numbers
Sovle for x help !!!!!!!!!
Answer:
C) 115 degrees
Step-by-step explanation:
A line is 180 degrees.
This means that the other side of the line with an angle of 115 degrees will be 180-115=65 degrees.
The angle above that will be 115 and the other will be 65.
Line v is similar to line u. This means that it is 115 degrees because the question mark is at the spot that is 115 degrees in the above angles.
i need help on My homework help me
Answer:
x = 18
Step-by-step explanation:
1/2 x - 7 = 1/3 (x - 12) Remove the brackets on the right
1/2x - 7 = 1/3 x - 12*1/3
1/2x - 7 = 1/3 x - 4 Subtract 1/3 x from both sides
1/2x - 1/3x - 7 = - 4 Combine like terms on the left
1/6x - 7 = - 4 Add 7 to both sides
1/6 x = - 4 + 7 Combine the right side
1/6 x = 3 Multiply both sides by 6
6 * 1/6x = 3*6
x = 18
Enter your answer as as 'x=NUMBER'
-8 - 3x + 8 = 27
Answer:
x= -9
Step-by-step explanation:
-8-3x+8=27
-8+8=0
-3x=27
divide by -3 both sides
27÷-3= -9
x= -9
A train travels at a speed of 58.6 km/h. Express this speed in
a. m/s
b. cm/min
Answer:
16.27778 m/s
97666.6667 cm/min
Step-by-step explanation:
a. To convert km/hr into m/sec, multiply the number by 5 and then divide it by 18.
m/s = (58.6 * 5) /18 = 16.27778 m/s
b. 1 Kilometer/Hour = 1666.66666666667 Centimeter/Minute
so 58.6 * 1666.666 =97666.6667 cm/min
Find the solution(s) to (x- 3) = 49. Check all that apply.
OA X=-10
B. Xx=-4
C. x-7
OD. X=-7
OE. X= 10
Answer:
B.x= -4 and E. x= 10 are the answers
what’s the slope of the line?
Answer:
-10/3 or -3 and 1/3
Step-by-step explanation:
you can do y1-y2 over x1-x2 of two points
or you can count the rise oiver run from (5,-5) to (2,5) which is 10/3
but its negative slope cause your going back 3 to the left
The amount of tax is $3.40, which is 5% of the food bill. How much was the food bill not including the tax?
If Simon wants to leave a 20% tip on the amount of the food bill before tax, how much should he leave for a tip?
What is Simon’s total bill including tax and tip? What percent of the food bill is this?
Answer:
You are told tax is $3.40 which is 5% of the total priceWe want to find the original food bill not including the tax of $3.40We also want to find the tip quantity based on the original food billSo X * 0.05= 3.40 Gives us X= 68 Hence the original bill was $68Now $68* .20 = $13.6I'm confident you can answer the rest with the information I've provided.The lowest temperature ever recorded in the U.S. was - 79.8 degrees Fahrenheit in Prospect Creek, Alaska. Which of the following best explains what temperature means.
A. It means the temperature was 79.8 Fahrenheit more than one.
B. It means the temperature was 79.8 Fahrenheit more than zero.
C. It means the temperature was 79.8 Fahrenheit less than one.
D. I means the temperature was 79.8 Fahrenheit less than zero.
Answer:
D
Step-by-step explanation:
Negative numbers are less than zero.
Solve the formula for the specified variable.
d = bx for b
Answer:
d/x
Step-by-step explanation:
[tex]d=bx\\\frac{d}{x} =b[/tex]
what is 53829-(-538)7902(6)=?
Answer:
25561485
Step-by-step explanation:
What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where $a$ and $b$ are integers?
Thats insane tho!
Whats ur aops class that you take?
Sovle for x !!!!!!!!
Answer: A -11
Step-by-step explanation: trust me
holly has $10.00. she saw a purse in a catalog that was marked $14.95 plus 5 sales tax
Answer:Molly won't be able to pay for the purse because $14.95 plus 5 is $19.95 and Molly only has $10.00 so she won't be able to buy the purse.
Step-by-step explanation:
Answer: A. $5.70
Step-by-step explanation:
Please help me will be much appreciated <3
Answer:
She earned 300 dollars by selling 100 headbands.
the answer is yes or no ?
Answer:
No!!
Step-by-step explanation:
For every 1 pound it costs $2⁵⁰
For every 2 pounds it costs $5⁰⁰
For every 3 pounds it costs $7⁵⁰
and so on going by 2.50 each pound.
Solve the system of equations. (1 point)
2x − 5y = 3
x − 3y = 1
(4, 1)
(5, 2)
(7, 2)
(9, 3)
Answer:
The answer is (4,1). Substitute the x and y values into the system and you should have the answer.
Answer:
option one
Step-by-step explanation: