In the diagram shown, l is a transversal. For what value of x will m and n be parallel? Give you answer to the nearest tenth.
Answers
Answer:
x = 22.4
Step-by-step explanation:
If (3x + 4) and (5x - 3) are supplementary as same side interior angles of the transversal l, then lines m and n are parallel.
Thus,
(3x + 4) + (5x - 3) = 180
Solve for x
3x + 4 + 5x - 3 = 180
Collect like terms
8x + 1 = 180
Subtract 1 from both sides
8x = 180 - 1
8x = 179
Divide both sides by 8
8x/8 = 179/8
x = 22.375
x = 22.4 (to nearest tenth)
Thus, for lines m and n to be parallel, the value of x will be 22.4.
Related Questions
The depth, in inches, of an object as it sinks in
the river is found by the equation d =0.5t,
where t is measured in seconds. Which best
describes the constant of proportionality?
A 0.5 second per inch
B 0.5 inch per second
C 2 inches per second
D 1 inch per 0.5 second
Answers
Answer:
It c.
Step-by-step explanation:
i had the same question on a quiz and all you have to do is divide per sec.
If there are 48 boys and 60 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answers
Okay, so first let's lay out some info first to make things easier:
48 students total in the school play
Ratio of boys to girls is 5:7
How many more girls are there than boys in the play?
Let's let "5x" represent the number of boys in the school play and "7x" represent the number of girls in the school play.
5x = boys
7x = girls
If we know that the total number of students in the play equals 48, then that must me that both the number of boys and girls combined must equal 48:
5x + 7x = 48
12x = 48
x = 4
Now, take your x-value and plug it into both the boys' and girls' values to figure out how many boys and girls there are in the play:
5x = 5 (4) = 20 boys
7x = 7 (4) = 28 girls
To find out how many more girls there are than boys in the play, just subtract the number of girls minus the number of boys:
# girls - # boys = 28 - 20 = 8
This means that there are 8 more girls than boys in the school play.
Answer:
8 is Your answer.
Here are the ingredients for making pineapple sorbet for 6 people.
800 g pineapple
4 egg whites
1/2 lemon
100 g caster sugar
Ann makes pineapple sorbet for 9 people.
Work out how much pineapple she uses.
Answers
I don’t understand how do you do this I have a assignment for tommorow some one help
Answers
Answer:
500 ML
Step-by-step explanation:
for every 1 liter, it is 1,000ML
so 1 L / 2 is 500ML
and 500 on your beaker is located in between 600 and 400
Hope this helps :)
how much interest will i pay for a $334,500 for 30% with an interest rate of 3.9%
Answers
Annual Contribution 100,400
Monthly Contribution 3915.60
A man bulds a model plane that is a scale model of an originalL The original plane is 150 feet in length. If the scale model uses 4 inches for every 50 feet the model is H inches in length. Answer here
Answers
150/50 = 3
3 x 4 = 12
Mr. Peterson can iron 2 shirts in 6 minutes.
At this same rate, Mr. Peterson can iron blank
shirts in 21 minutes.
Answers
Answer:
7
Step-by-step explanation:
he can iron 7 in 21 minutes
hope this helps
Find the equation of the line passing through the point ( 6,5 )and parallel to the line
9x-3y =6
Answers
Answer:
9x-3y = 39
Step-by-step explanation:
9x-3y = 6
because it is parallel
the slope is equal to the original equation
the new equation : 9x-3y = 39
Opportunity to get Brainliest! I will put various questions and will mark BRAINLIEST!
Answers
Which equation does the graph below represent
Answers
Answer: The answer is y=-3x
Step-by-step explanation: You can see in the picture that the line is going down which represents a negative slope so you can eliminate C and D. Now you are left with A and B. 1 unit up is equal to 3 so the rise over run is -3/1 and that translates to Y=-3x answer B
i need this this fast!! please
Answers
Answer:
last one
Step-by-step explanation:
On a number line, the coordinates of X, Y, Z. and Ware-7. -5.2, and 4, respectively. Find the lengths of the two segments below. Then tell whether they are congruent.
XY and ZW
The length of XY is (Type an integer or a decimal.)
The length of ZW is (Type an integer or a decimal)
Answers
Answer:
[tex]XY = 2[/tex]
[tex]ZW = 2[/tex]
XY and ZW are congruent
Step-by-step explanation:
Given
[tex]X = -7[/tex]
[tex]Y = -5[/tex]
[tex]Z = 2[/tex]
[tex]W = 4[/tex]
Distance XY is calculated as thus:
[tex]XY = |X - Y|[/tex]
[tex]XY = |-7 - (-5)|[/tex]
[tex]XY = |-7 + 5|[/tex]
[tex]XY = |-2|[/tex]
[tex]XY = 2[/tex]
Distance ZW is calculated as thus:
[tex]ZW = |Z - W|[/tex]
[tex]ZW = |2 - 4|[/tex]
[tex]ZW = |-2|[/tex]
[tex]ZW = 2[/tex]
[tex]XY = ZW = 2[/tex]
Hence:
XY and ZW are congruent
*
ate: Find 8% of 40.
nt)
Answers
Trucks must haul between 150,000 yd' and 180,000 yd of earth each day to create a new
water park near Universal Studios in Orlando, Florida. The trucks can haul 10.000 yd per day
and 120,500 yds have already been brought to the site. How many days are needed to
complete this job?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Range which must be hauled by trucks :
150,000 - 180,000 yds of earth
Haul per day = 10000 yds
Already removed = 120,500
We can express the problem as an inequality:
Using y = number of days
150,000 ≤ (10000y + 120,500) ≤ 180000
150,000 ≤ (10000y + 120,500)
150000 - 120500 ≤ 10000y
29500/10000
y = 2.95 days
10000y + 120,500 ≤ 160000
10000y ≤ 160000 - 120500
y = 39500/10000
y = 3.95
2.95 ≤ y ≤ 3.95
Write and equation for a line perpendicular to 3y+15x=-12 and passing through the point (5,6)
Answers
Step-by-step explanation:
I am not sure sorry for doing it Innist need points
Jaden places potatoes with a mass of 0.55 kilograms on a grocer's scale. The spring is displaced by 1.2 centimeters. He then places some onions on the scale that displace the spring by 0.67 cm. What is the mass of the onions (1 kg=9.8 N)? 5.39 kg 3.01 kg 0.67 kg 0.31 kg
Answers
Answer:
.31 kg
Step-by-step explanation:
F=kx
F = the force of the spring
k = the spring constant
x = the spring displacement (stretch or compression)
we also know that 1 kg = 9.8 N which also means that 9.8(kg)=F
let's first find the force of the first problem, which is .55 kg. Using the formula 9.8(kg)=F we can do 9.8(.55)=F which would mean the force is 5.39 N
so 5.39=k(1.2 centimeters)
Now we need to convert centimeters to meters. This would make 1.2 into .012m. Now our problem is 5.39=k(.012)
divide 5.39 by .012 to get 449.17
our k is 449.17
Now for our problem, we are going to find the mass.
Do this by putting what we already know into the problem.
F=449.17(.67 centimeters)
Now we already know we need to convert centimeters to meters which will make our formula F=449.17(.0067m)
This will result in F=3.01 but the problem is asking for mass, not force.
Use the formula 9.8(kg)=F
9.8(kg)=3.01
kg=.31
solution: .31 kg
Find the measure of ∠7.
Given:
∠1 is a right angle
∠3 = 37°
∠8 =62°
A. 53°
B. 65°
C. 105°
D. 127°
E. 245°
Answers
Answer:
The answer is B: 65.
Angle 8 + angle 7 = right angle + 37 degree
, 62 degree + angle 7 = 127 degree
, angle 7 = 127 degree - 62 degree
, = 65 degree
Help me out please...
Answers
Answer:
3.72
Step-by-step explanation:
It should be 3.72 because 37.2 is divided into tenths which means that it is multiplied by 0.1. Which you get 3.72.
y=x^2+9x+3 write graph form
Answers
A movie theater has two rooms. Room A has 7 rows of seats with 21 seats in each row. Room B has four times as many seats as Room A. How many seats are there in both rooms?
Answers
Answer:
588
Step-by-step explanation:
Because 7x21=147 then you take 147x4 and that equals 588 seats
find the value of n. pleaseeee i really need help
Answers
Answer:
n=214
Step-by-step explanation:
6*35=210
210+4=214
Emilio was charged
$23.75 for a box of cereal and 4 identical loaves of bread.
If the cereal costs
$5.75, which equation can be used to find the cost of a single loaf of bread?
Answers
Answer:
The way you can find the cost of just one loaf of bread is by taking the amount charged and then dividing it by 4 and then you would get your answer of $5.93
Step-by-step explanation:
Let me know if this is correct or not ok.
2. Yumi takes hour to complete 50 math problems. Eric is able to complete 48
math problems in hour. Which student can complete math problems at a
greater rate of problems per hour?
Answers
Answer:yumi is faster by two questions Step-by-step explanation:
Answer:
Yumi
Step-by-step explanation: because she is 2 ahead of Eric
Mr. Webb had 90.66 feet of wood. If he gave Jim 15.4 feet, Allison 20.69 feet and Cory
32.02 feet, how much does he have left?
Answers
Answer:
22.55 ft of wood is what mr. webb will have left
A line segment is defined as a part of a straight line connecting two points called
the
A) Arcs
C) Distances
B) Axes
D) Endpoints
Answers
Answer: D
Step-by-step explanation:
A line segment is defined as a part of a straight line connecting two points called the endpoints, option D.
---------------------------------
A line segment is a straight line that connects two points.These two points are the extremes of the line segment, that is, the start and the finish, and thus, are called endpoints.This means that the correct option is given by D.For more on line segments and endpoints, you can check a similar problem at https://brainly.com/question/24778489
HELP this is for my final
Answers
D
Why?
Parallel line’s have the same slope
1) Which line has a negative slope?
2) Which line has a slope of zero
3) Which line has a y- intercept at (0, -2) ?
4) Which line has a slope of 1/2
5) Which line is the graph of the equation y = 3x
6) Which line is the graph of the equation y = x + 3?
Answers
Answer:
C has a slope of zero
B has slope 1/2
2.line c
3.line c
4.line b
5.line d
6.line a
What is the sales tax on a $14,500 truck if the tax rate is 9%. What is the total price of the truck
after the sale tax?
Answers
Answer:
in order to find percentages you have to multiply the base cost by the tax and then divide it by 100
Step-by-step explanation:
base price is 14500
tax rate is 9 percent
(14500 × 9 ) ÷ 100
or you can just do this
14500 × 0.09 = 1305
since multiplying by 9 then dividing by 100 is equal to multiplying by 0.09 (9/100)
14500+1305= 15805
URGENT: Figure C and figure E shown on the coordinate plane blow a transformation was performed on figure C to create figure D. Then, a transformation was performed on figure D to create figure E
As a result of the series of transformation performed, figure C is similar figure E, however these figures are not congruent
1• justify why figures C And E are similar and not congruent
2• describe a transformation applied to figure C that will create figure D and then a transformation performed on figure D that will create Figure E
Answers
Answer:
1. Whereby one square = One unit, we have;
Lengths of the sides of figure C are;
4, √(4² + 2²), √(4² + 2²) which simplifies to 4, 2·√5, 2·√5
Lengths of the sides of figure E are;
2, √(1² + 2²), √(1² + 2²) which simplifies to 2, √5, √5
Figure E is equivalent to figure C scaled down by a factor of 1/2
The trigonometric ratios of the two figures are therefore equal and figure C is similar to figure E but figure C is larger than figure E
2. A transformation that will create figure D from figure C is a rotation, 90° counter clockwise about the point (2, -2)
A transformation that will create figure E from figure D is a dilation of figure D by 1/2 with the midpoint of figure D being the center of dilation
Step-by-step explanation:
You bike 11.2 miles in 1.4 hours at a steady rate. What equation represents the proportional relationship between the x hours you bike and the distance y in miles that you travel?
Answers
Answer:17
Step-by-step explanation:
Answer:
Y=8x
Hope this helped
Step-by-step explanation: