A rope for zip lining is tied between two parallel trees. The rope is taut, forming a straight line. What is m<2?
Answers
Answer:
72°.
Consecutive interior angle
Step-by-step explanation:
The complete question is shown below
The consecutive interior angle theorem states that if two parallel lines are cut by a transversal line, the pair of interior angles formed are supplementary (that is they sum up to 180°).
Hence since the two trees are parallel and the rope forms a transversal hence they form an interior angle:
m∠2 + 72° = 180° (consecutive interior angles)
Add -72 to both sides and then simplify:
m∠2 + 72 -72 = 180 - 72
m∠2 = 108°
Related Questions
?????????????????????
Answers
Answer: A C AND E
Step-by-step explanation:
please help!!! !!!!!!!
Answers
Answer:
-2+6x
Step-by-step explanation:
Answer:
x= -7
Step-by-step explanation:
-2+5(6x-5)= -237
multiply to get rid of the parentheses
-2+30x-25= -237
simplify
30x-27= -237
add 27 to both sides
30x= -210
divide both sides by 30
x= -7
Hope this helps! (;
The width of a rectangle is four feet more than six times its length, L. If the perimeter of the rectangle is 568
feet, what is the length of the rectangle?
Answers
Answer:
Hi there!
Your answer is:
The length is 40
Step-by-step explanation:
W=4+6L
P=568
Perimeter formula
W+W+L+L=568
Plug in known values!
(4+6L)+(4+6L) + L +L = 568
Solve for L
14L + 8 = 568
-8
14L = 560
/14
L=40
Suppose you walk 2 miles in 35 minutes. 4. write a proportion to find how far you would walk in an hour if you were to continue at the same rate.
Answers
Answer:
2/35 * x/60
Step-by-step explanation:
the x is what you're trying to find. the 60 is how many minutes there are in an hour. when setting up this proportion, you can't put 1 for 1 hour because you have 35 minutes. if it says minutes, then keep everything in minutes. from here, you would cross multiply and solve, that should give you the answer :) hope this helps <3
Question:
(-11x-11x-11)=?
Answers
Answer:
-22x-11
Step-by-step explanation:
Your welcome! :)
48divided by 2(9+3)
ANSwer plz
Answers
Answer:
288
Step-by-step explanation:
9+3=12
48÷2=24
24x12=288
Twice the sum of a number and nine is 24. Find the number.
Answers
Answer:
3
Step-by-step explanation:
2 (n + 9) = 24 this is the equation
to solve for n (number):
2(n+9)=24 // Distribute the 2 into parentheses
2n + 18 = 24 // Subtract 18 on both sides of equal sign
- 18 -18
2n = 6 // Divide by 2 on both sides of equal sign
2 2
n = 3
Hope this helps :)
k-x=y+w, for x
Solve the equation for each indicated variable
Answers
Answer:
-x=y+w-k
-x.-1=-1.(y+w-k)
x=-y-w+k
1. If a car must have at least 2 passengers in order to be in the carpool lane on this highway, what is the probability that a randomly selected car is allowed to be in the carpool lane?
P(x>2) .15+.10+ .3+ .2= .30
2. Find the probability that a randomly selected car on this highway has fewer than 4 occupants.
P(x<4)= p(x<3)=
.70+ .15+ .10= .95
3. Calculate the mean of this probability distribution. Click on the tool "Insert Math Equation" in the toolbar above to write your answers using correct notation and round it to one more decimal than is contained in the data (type out your calculations).
E(x) is
1(x) p(1) + 2p(2) + 3p(3)+ 4p(4)+ 5p(5)
.70+.30+.30+.12+.10
=1-52
4. Explain what your answer to #3 means in the context of this problem.
Mean is the expected value and measure of tendency following is the probability of distribution
5. What shape would the probability histogram of this probability distribution have (you do not have to actually create or embed the histogram)? Explain the meaning of this in context. In other words, what does this tell you about the driving habits of most drivers on this highway?
Most drivers have more than 2 passengers while driving in the carpool lane on the freeway
Answers
Answer:
4
Step-by-step explanation:
"If you subtract 19 from my number and multiply the difference by -2, the result is -8 ." What is 's number?
Answers
Answer:
23
Step-by-step explanation:
Do the steps in reverse.
-8 divided by -2 = 4
4 + 19 = 23
Your answer is 23
Hope I helped :)
Please consider Brainliest :)
Write 0.000073 in scientific notation
Answers
Answer:
7.3x10^-7
Step-by-step explanation:
you move the decimal to the right 7 times.
Hope this helps.
Answer:
[tex]10^-^5[/tex] [tex]*73[/tex]
Step-by-step explanation:
So in 0.000073, 7 is the fifth digit in the term so we can write it as [tex]10^-^5[/tex] * 73
or 10 to power of negative 5 multiplied by 73.
Given: f(x) = -2x + 10
Find: f(2)
Answers
Answer: 4
Step-by-step explanation: Subtract 10 from each sides and divide both sides by -2
help asap please!! yea
Answers
Answer:
C
Step-by-step explanation:
h(x)=8(x+6)^2-9
6 units to the left and 9 units down
A scale model of Philadelphia City Hall is 68.5 inches long. Using each of the scales above, how many feet tall is the building in real life? Show your work and explain your answer using each scale.
With a scale of 1in. to 8ft. Philadelphia City Hall is …. I know this because …
With a scale of ⅛ in. to 1 ft. Philadelphia City Hall is … I know this because …
With a scale of 1 to 96 Philadelphia City Hall is … I know this because …
Answers
Answer:68.5
Step-by-step explanation:
.Two cars start at the same point and move in the same direction. One car travels 5mph faster
than the twice the speed of other car. After 10 hours the distance separating the two cars is 60
miles. What was the speed of each car?
Answers
Answer:
the faster one is 6 mph but i have know idea what the slower one is
Step-by-step explanation:
A In this triangle, the product of tan A and tan Cis
Answers
Answer:
1
Step-by-step explanation:
The value of product of expression tan A and tan C is,
⇒ tan A × tan C = 1
Here, We have;
In triangle ABC;
⇒ ∠ A = 45°
⇒ ∠ B = 90°
⇒ ∠C = 45°
Hence, We get;
The value of product of tan A and tan C is,
⇒ tan A × tan C =
⇒ tan 45° × tan 45°
⇒ 1 × 1
⇒ 1
Thus, The value of product of expression tan A and tan C is,
⇒ tan A × tan C = 1
Learn more about the triangle visit;
brainly.com/question/1058720
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8(15-4)
----------
4²-5
Answers
Step-by-step explanation:
8(15-4)
----------
4square - 5
= 8(15-4)
=120 - 32
= 88
4square - 5
=4×4 = 16
16 - 5
= 11
therefore,
88/11
= 8
PLEASE HELP ME AS SOON AS POSSIBLE PLEASE
Answers
nevermind, I got the wrong answer. not sure how to delete my own answers :/
Answer:
Step-by-step explanation:
Tank A has 35 gallons of water and is
filling up at a rate of 5 gallons per minute,
Tank B has 100 gallons of water and is
draining at a rate of 8 gallons per minute,
Solve the following system of equations,
In how many minutes will the tanks
contain the same amount of water, and
how much water will that be?
Sy = 35+ 5x
y = 100 - 8x
Answers
Answer:
35 + 5x= 100 -8x =
Step-by-step explanation:
35 +5x =100 -8 x
5x + 8x = 100 -35
13x = 65
x = 13/65
x =5
You have been waiting for months. The latest version of your favorite video game comes out today. You have mowed lawns, done extra chores, and saved up gift money. The new game costs $49.99. You have exactly $50.00 saved. So you are good to go, right? In 3 to 5 sentences explain if you have enough money to buy that game in Pennsylvania where sales tax is 6% If you have enough money, will you have change? If you do not have enough money, how much more do you need?
Answers
The savings are not enough to buy the video game due to sales tax and $ 2.99 is needed more to buy the latest version of favorite video game.
What is the formula to calculate sale tax ?The sales tax is calculated by multiplying the cost price by the rate of sales tax.
Amount of sales tax = rate of sales tax × Cost price
Rate of sales tax = percent of sales tax / 100
Savings money = $ 50.00
Cost price = $ 49.99
Given percentage of Sales Tax = 6%
Amount of sales tax = (sales tax/ 100 ) × $ 49.99
= (6/100)× 49.99
= 2.9994
Total Selling price of the video game will be = cost price + sales tax
= 49.99 + 2.9994
= $ 52.9894
= $ 52.99
Selling price is greater than savings it means more money is needed to buy the video game.
Extra money needed = Selling price - savings = $52.99 -$ 50.00= $ 2.99
Therefore, $ 2.99 is needed more to buy the latest version of favorite video game
Also , learn more about the sales tax from the link below:
https://brainly.com/question/13968527
#SPJ2
The ray G is the angle bisector of FGH and m FGH = 35°. Enter m.FG). The measure of ZFGJ is
Answers
Answer:
If ray GJ is an angle bisector of ∠FGH, it cuts the ∠FGH into two equal angles making ∠FGJ = 25° and ∠HGJ=25° for a sum of 50°. ∠FGJ=25°Tell whether the fraction is in simplest form 25/42
Answers
Answer:
it's already in the simplest form
Yes... It is in the simplest form..
If this answer helps you plz mark as brainlist..Tq..Sienna has a bag of 10 marbles. Five marbles are blue, four marbles are red, and 1 marble is yellow. Sienna draws two marbles from the bag without replacing the marble. What is the probability of drawing two blue marbles?
Answers
probability of drawing two blue marbles= 5/10
= 1/2
Given parameters:
Number of marbles in the bag = 10 marbles
Number of blue marbles = 5 marbles
Number of red marbles = 4 marbles
Number of yellow marbles = 1 marble
Unknown:
The probability of drawing two blue marbles.
Probability is the likelihood of an event to occur. It is the number of possible outcomes divided by the sample space.
Probability values ranges from 0 to 1
1 is a certainty that an event will occur.
0 shows that the event will not occur.
The probability of drawing the first blue marble = [tex]\frac{5}{10}[/tex]
Probability of drawing the second marble without replacing the marble = [tex]\frac{4}{9}[/tex]
Now,
The probability of drawing two blue marbles without replacement is;
= [tex]\frac{5}{10}[/tex] x [tex]\frac{4}{9}[/tex]
= [tex]\frac{2}{9}[/tex]
So the probability of picking two marbles without replacement is [tex]\frac{2}{9}[/tex]
Multiply:
8.94 x 354
Submit
Answers
Answer:
3164.76
Step-by-step explanation:
divide the numbers.
and don't forget the decimal
Answer:
3164.76
Step-by-step explanation:
Hope this helps!
Plz help first person to get correct I’ll cash app or pay pal you 5$. Answer and add your cash app or PayPal.
Answers
Answer:
c(x)=9+3.5
Step-by-step explanation:
Hope this helps
Cash app is $Lilibug17
What is the solution to 5a - 15+9a=3a+29
Answers
Answer:
a = 4
Step-by-step explanation:
5a - 15 + 9a = 3a + 29
14a - 15 = 3a + 29
11a - 15 = 29
11a = 44
a = 4
Simplify.
Rewrite the expression in the form z^n
z^7/z^-14
=
21
Answers
Step-by-step explanation:
z^7/z^-14=21
z^21=21
The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by
(2x + 3)°. What is the value of x? What is the measure of each base angle?
x =
Each base angle measures
°.
Answers
Answer:
x=33 and angle=69
Step-by-step explanation:
just got it on a test
Measure of x = 69 degree.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that,
vertex angle = 42 degree
Angle of base angle = (2x + 3)°
Use the knowledge that the sum of the base angles in an isosceles triangle equals 180° minus the vertex angle to find the value of x.
Thus,
Vertex angle is,
(2x + 3)° + (2x + 3)° = 180° - 42°
Base angle + Base angle = 180° - 4x + 6 = 138
4x = 132 x = 33
We substitute x = 33 into (2x + 3)°
To determine the magnitude of each base angle:
Base angle equals (x + 3)°
Base angle = (2 x 33 plus 3).
Angle at base: 69° As a result, each base angle is 69°.
Learn more about the triangle visit;
brainly.com/question/1058720
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Express 26 as sum of 3 odd primes
Answers
A trucking company operates in three regions of the country. The table below depicts the probability that each
company truck is in the region and the fuel prices per gallon. What amount should the company budget on average
for a gallon of fuel across its operations? Round your answer to the nearest cent.
Answers
Question: A trucking company operates in three regions of the country. The table below depicts the probability that each company truck is in the region and the fuel prices per gallon. What amount should the company budget on average for a gallon of fuel across its operations? Round your answer to the nearest cent.
Answer:
A. $3.53
B. $3.55
C. $3.68
D. $3.70
The amount that the company should put on average for a gallon across the operations is $ 3.70. This option D is correct.
What does the trucking operations of the company?The company of trucks runs operations in several countries as per the table each region has distinct scores of probability and as the company that is farthest from the market has more wages as compared to that is the nearest
The percentage is 100 and probability counts as compared to one. Thus 50% is 0.50. If assuming X is the cost of fuel then using the formula we get.
[tex]Mean = E (X) = f(xi) xi[/tex]
E(X) = 3.10 x 0.2 +3.5 x 0.3 +4.05 x 0.5 = 3.69 that is 3.70 dollars.
Find out more information about the company operates.
brainly.com/question/26676604.
The complete question is :
A trucking company operates in three regions of the country. The table below depicts the probability that each company truck is in the region and the fuel prices per gallon. What amount should the company budget on average for a gallon of fuel across its operations? Round your answer to the nearest cent.
A. $3.53
B. $3.55
C. $3.68
D. $3.70