What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?
Answers
Answer:
118°
Step-by-step explanation:
When two parallel lines are cut by a tranversal, then the exterior angles are supplimentary and the corresponding angles are congruent.
Therefore the angle above (15x - 17)° is also (5x + 17)° and the angle below (5x + 17)° is also (15x - 17)°.
Angles on a straight line adds up to 180°. So to know the measure of the larger angle we must both equations and equal it to 180° to find x in order to know the larger angle.
(5x + 17) + (15x - 17) = 180
5x + 15x + 17 - 17 = 180
20x = 180
20x/20 = 180/20
x = 9°
Nkw let's substitute x = 9 into the equations
5x + 17 =
5(9) + 17 =
= 62°
15x - 17 =
15(9) - 17 =
= 118°
Both equations should add up to be 180°.
Therefore the measure of the largest angle is 118°.
Related Questions
Solve for x.
5x−2(x+1)=1/4
Enter your answer as a fraction in simplest form in the box.
x =
Answers
Answer:
x=3/4
Step-by-step explanation:
Answer:
X= 3/4
Step-by-step explanation:
Distribute
Combine like terms
Add 2 to both sides of the equation
Simplify
Divide both side s of the equation by the same turm
Simplify
whats is the value of X
need help asap
Answers
Answer:
8
Step-by-step explanation:
Answer:
x= 98
First, you have to find what the third angle is so;
180-53-45=82
The third angle in 82.
A straight line is 180º. So you need to subtract 180-82 to get 98.
Step-by-step explanation:
Two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube. One particle travels 97 cm in the 1st 2 seconds, 93 cm in next 2 seconds , 89 cm in another next 2 seconds, etc. The other particle travels 49 cm in the 1st 2 seconds, 47 cm in the next 2 seconds , 45 cm in another next 2 seconds, etc. Find how long it takes for the particles to meet and hence, determine the distances travelled by each particle.
Answers
This shows that it will take the particle 23 secs to meet.
The distance travelled by each particle is 50cm
If two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube,
The first particle distances are 97cm, 93cm, 89cm... every 2secs
This form an arithmetic sequence and the nth term is expressed as:
Tn = a + (n - 1)d
a is the first term = 97
d is the common difference = 4
Substitute
Tn = 97+(n - 1)(4)
Tn = 97 + 4n -4
Tn = 4n + 93
Similarly for the distances 49 cm, 47 cm, 45cm .....
This also forms an arithmetic sequence and the nth term is expressed as:
Tn = a + (n - 1)d
a is the first term = 49
d is the common difference = 2
Substitute
Tn = 49+(n - 1)(2)
Tn = 49 + 2n -2
Tn = 2n + 47
For the particles to meet, this means that 4n + 93 = 2n + 47
4n - 2n = 47 - 93
2n = -46
n = -23
This shows that it will take the particle 23 secs to meet.
To get the distance travelled by each particle
Tn = 4n + 93
T2 = 4(2) + 93
T2 = 101
For the other sequence;
Tn = 2n + 47
T2 = 2(2) + 47
T2 = 51
Taking the difference;
D = 101 - 51 = 50cm
Hence the distance travelled by each particle is 50cm
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how to multiply 21 x 25 in oldschool way
Answers
hey guys pls help me i need to submit this before 1hr .graphing an inverse function.y = 4x + 12 using the x values (-2,-1, 0, 1 and 2).
Answers
Answer:
4, 8, 12, 16, 24
Step-by-step explanation:
Replace the x with the x values starting at -2 and use the equation with the new x value.
E.g.
x = -2
y = 4 * -2 + 12
y = 4
Sorry if my explanation isn't the best.
I need to know what the exact and estimated sum is
Answers
Answer:
Exact: 55.899
Estimate: 56
Step-by-step explanation:
8.176 + 5.802 + 41.921 = 55.899
8.176 ~ 8
5.802 ~ 6
41.921 ~ 42
8 + 6 + 42 = 56
What is the hypotenuse? 68km 51km c
Answers
Answer:
85 km
Step-by-step explanation:
[tex]68^{2} +51^{2} =c^{2}[/tex]
4,624+2,601 = [tex]c^{2}[/tex]
7,225 =[tex]c^{2}[/tex]
Square both side and you get your answer 85km
A recent poll in your state shows that 25% of the vehicles are SUV’s and 10% are trucks. The poll counted 5 million SUV’s. How many of the vehicles did they look at in total?
Answers
Answer:
20 million
Step-by-step explanation:
5 million SUVs are 25% of the total number of vehicles.
0.25x = 5,000,000
x = 20,000,000
Answer: 20 million
The question is an illustration of proportions.
A total of 20 million vehicles were looked into
The proportions are given as:
[tex]SUV = 25\%[/tex]
[tex]Trucks= 10\%[/tex]
Let the total number of vehicles be v.
The number of SUVs is given as 5 million.
So, we have:
[tex]SUV = 25\% \times v[/tex]
Substitute 5 million for SUV
[tex]5\ million= 25\% \times v[/tex]
Express the percentage as decimal
[tex]5\ million= 0.25 \times v[/tex]
Divide both sides of the equation by 0.25
[tex]20\ million = v[/tex]
Rewrite the equation as
[tex]v =20\ million[/tex]
Hence, 20 million vehicles were looked into
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given the drawing below what is the difference between angle D and angle B
Answers
Answer:
given the drawing below what is the difference between angle D and angle B
Step-by-step explanation:
How do you evaluate -98 - 13
Answers
Evaluations can only be done with algebraic equations
Answer:
-111
Step-by-step explanation:
Subtract 13 from -98
Which number is not in scientific notation? (5 points)
11 ⋅ 1021
5.7 ⋅ 109
3.1 ⋅ 10−12
1.67 ⋅ 10−5
Answers
9514 1404 393
Answer:
(a) 11·10^21
Step-by-step explanation:
"Scientific notation" has a mantissa that has one digit to the left of the decimal point. The number 11·10^21 has two digits to the left of the decimal point, so is not in the form required by scientific notation.
11·10^21 is not in scientific notation
_____
It would be correctly written in scientific notation as as 1.1·10^22.
Answer:
A) 11 ⋅ 10^21
Use logarithms to solve the equation for t. (Round your answer to two decimal places.)
2000/(1 + 6e−0.7t) = 1000
Answers
9514 1404 393
Answer:
2.56
Step-by-step explanation:
Multiply by (1+6e^(-.7t))/1000:
2000/1000 = 1 +6e^(-0.07t)
1 = 6e^(-0.07t) . . . . . . . . . subtract 1
e^(0.07t) = 6 . . . . . . . . . . multiply by e^(0.07t)
0.07t = ln(6) . . . . . . . . . take the natural log
t = ln(6)/0.07 . . . . . . . divide by the coefficient of t
t ≈ 2.55966 ≈ 2.56
a line that is parallel to y=-3x+2 and contains the point (3,-3)
Answers
Answer:
y = -3x + 6
Step-by-step explanation:
Two lines that are parallel will have the same slope. All we need to do is find the new y-intercept.
-3 = -3(3) + b
-3 = -9 + b
6 = b
Now we can input the stuff we know and solved for back into the original formula [ y = mx + b ].
y = -3x + 6
Best of Luck!
A parallel line means our new line will have a slope equal to the original line.
The original line is in slope-intercept form, y = mx + b, where m is the slope and b is the value of the y-intercept. This tells us that the slope we want to use is m = -3
By using a slope of -3, with the given point (3,-4), we can now use the point-slope formula to find our new line.
Point-slope formula: y - y1 = m(x - x1) where m is the slope and the line passes through the point (x1,y1)
Combining our point and slope, we get:
y + 4 = -3(x - 3)
If we wish, we can rearrange this by distributing on the right hand side.
y + 4 = -3x + 9
We can then subtract 4 from both sides to get our answer in slope-intercept form
y + 4 - 4 = -3x + 9 - 4
y = -3x + 5
i will give brainliest to the best answer.
Answers
Answer:
Step-by-step explanation:
The slope intercept form is like so:
y = mx + b
mx is the slope
b is the y-intercept
Now in your equation:
y = 0.25x + 2
0.25x is the slope
2 is the y-intercept
कौन-सा शब्द यौगिक है।
क. पुस्तकालय। ख. भाई की बहन। ग लंकेश
Answers
Answer:
help please............
The container that holds the water for the football team is
1/2
full. After pouring in 9 gallons of water, it is 4/5 full. How many gallons can the container hold?
Answers
Answer:
45
Step-by-step explanation:
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Taylor’s domain is and range is Thomas domain is and range is
Answers
Step-by-step explanation:
please send your teacher some nice greetings from me, as this problem description is very incomplete.
we have to guess and assume a few things.
I assume that for both people there is a function describing how many objects (x and y) are sewn after a given amount of time (t).
and we are only looking at a single work day. and not a week or a year.
so,
x = Taylor(t)
y = Thomas(t)
remember that the domain is the interval or set of valid values for the input variable (the argument of the function). in our case here this is t.
and the range is the interval or set of valid values for the output variable (x and y).
so, the domain for Taylor is the interval of valid work time
[0, 8] in hours. we could also define it in minutes to not get confused, and that would be [0, 480] in minutes.
Taylor's range is then (as he can do 6 per hour = 1 every 10 minutes)
[0, 8×6] or [0, 480/10] = [0, 48].
the domain for Thomas is his valid work time [0, 10] in hours or [0,600] in minutes.
Thomas's range is then (2 per hour or 1 every 30 minutes)
[0, 10×2] or [0, 600/30] = [0, 20]
please pick for the domain the scale (hours or minutes) your teacher prefers. I suspect hours due to the phrasing, but just in case I showed you both.
Domain defines the input interval and range defines the output interval.
Here for both Taylor and Thomas Domain is how many hours they have worked and range for both of them is how many hats and mittens they have produced in their working hour.
Whatis domain and range ?Domain defines the input interval and range defines the output interval corresponding to the domain interval.
In the given question domain of Taylor is (0,8) and each hat takes 10 mins or 1/6 hours
in 1/6 hours Taylor makes 1 hat
so, in (1/6 x 6) = 1 hour taylor will make ( 1 x 6 ) = 6 hats
so in 8 hours Taylor will make (8 x 6) = 48 hats
Range of taylor = (0,48). .(as in 0 hour he will make 0
hats )
Domain of Thomas is 10 hours = (0,10)
Every pair of mittens take 30 minutes or 1/2 hour
so , In 1/2 hour Thomas makes 1 pair of mittens
In(1/2 x 2 ) = 1 hour he will make (1 x 2)= 2 pair of mittens.
In 10 hours Thomas will make (2 x 10 ) = 20 pair of mittens.
The range of Thomas is (0,20). .(as in 0 hour he can make no
pair of mittens)
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Adam has $100 in his savings account. He earns $12 a week for babysitting. How much money will Adam have after 3 weeks of babysitting
Answers
Answer:
$136
Step-by-step explanation:
a) What is the equation of the function
b) Compare the graph to f(x)=2(x+1)^2
Answers
A) ((x+1)^2)-3
B) f(x) = 2(x+1)^2 is vertically stretched upwards by a factor of 2. In addition to this, it’s minimum value remains on the x-axis, due to there being no vertical translation like in the equation on part A.
So: The equation in part A has no vertical stretch, and does have a vertical translation, however it retains the same horizontal translation.
Explanation:
You can see the transformations by looking at the vertex and at least 1 other point.
Since it is a parabola we can start by saying:
f(x) = x^2
We also see a vertical translation of 3 units down:
f(x) = (x^2)-3
Lastly, we see a horizontal translation of 1 unit to the left:
f(x) = ((x-1)^2)-3
If f(x) is a linear function, what is the value of n?
Х
-4
f(x)
1-25
-10
-1
n
20
2
4
9
Answers
Answer:
The value of n is 5.
Step-by-step explanation:
We have been given that f(x) is a linear function and we are asked to find the value of n from the provided table.
x f(x)
-4 -25
-1 -10
n 20
First of all we will find the slope of the given using our given points (-4,-25) and (-1,-10) in slope formula.
m = y2-y1/x2-x1
Upon substituting coordinates of our given points we will get,
m = -10--25/-1--4
m = -10+25/-1+4
m = 15/3
m = 5
Since we know that the equation of a line in slope-intercept form is:
y = mx + b,where, m= Slope and b= y-intercept.
Upon substituting m = 5 in slope-intercept form of equation we will get,
y = 5x + b
Now let us find y-intercept by substituting coordinates of one point in our given line.
-10 = 5(-1) + b
-10 = -5 + b
-10 + 5 = -5 + 5 + b
-5 = b
y = 5x - 5
Now let us find value of n by substituting x = n and y = 20 in our equation.
20 = 5 * n - 5
20 + 5 = 5 * n - 5 + 5
25 = 5 * n
25/5 = 5 * n/5
5 = n
Therefore, the value of n is 5.
Find the indicated values by using the graph.
1. h(2)=_____
2. h(4)=_____
3. h(1)=_____
4. h(5)=_____
5. h(____)=4
6. h(____)=1
7. What are the values for h(____)=2?
Answers
one number is 6 more than the other number. also, 7 times the smaller number is equal to 6 times the larger number. find the two numbers.
Answers
Answer:
x = 36; y = 42
Step-by-step explanation:
x+6 = y
7x = 6y
7x = 6(x+6)
7x = 6x+36
-6x -6x
x = 36
_________
y = 36+6
y = 42
_________
I need help with this question. Please & thank you!
Answers
B
dividing with the same numbers and different exponents is like subtracting the exponents
16-8 = 8
Find x 7+2x/3=5
I’ve searched and I can’t find the answer
Answers
Answer:
0.6522
Step-by-step explanation:
Write each equation in slope intercept form Underline the slope and circle the y intercept in each equation 5x + 3y = 30
The slope - intercept form is ___
The slope is ___
The y - intercept is (_, _)
Answers
Answer:
y=-5/3x+10
-5/3
(0,10)
Step-by-step explanation:
5x+3y=30
-5x. -5x
3y=-5x+30
÷3. ÷3
y=-5/3x+10
the number by the x is the slope and the constant
is the y intercept. in a y intercept the x=0 and they y=the constant which is 10 in this case making it (0,10)
WHYYY ARE BOTS ON HERE HM HM?!
Answers
Answer:
Well it's because they want children to click there links for either tracking IP address's or just using it to bring you to another site.
Step-by-step explanation:
A textbook store sold a combined total of 288 history and psychology textbooks in a week. The number of history textbooks sold was two times the number of psychology textbooks sold. How many textbooks of each type were sold
Answers
Answer:
x=96 and y=192
Step-by-step explanation:
x+y=288 and 2x=y
plug y in and solve for x
x+2x=288
3x=288
x=96
plug x back in and solve for y
2(96)=y
y=192
What is 8 units to the left of (3, -7)
Answers
Answer:
(-5,4)
Step-by-step explanation:
Isis is 8 years younger than
her sister. The sum of
their ages is 44 years
How old is Isis and
how old is
her sister,
Answers
Answer:
Isis 18 and her sister 26Step-by-step explanation:
Isis is 8 years younger than
her sister. The sum of
their ages is 44 years
How old is Isis and
how old is
her sister,
(44 - 8) : 2 = 18
18 + 8 = 26
------------------------
check
23 + 18 = 44
the answer is good
How much greater is the surface area of the rectangular prism than the surface area of the cube?
A. 36 cm2
B. 33 cm2
C. 18 cm2
D. 45 cm2
Answers
Answer: 18 cm2
Step-by-step explanation: the surface area of the cube is 54 cm2 and the rectangular prism is 72 cm2 so 72 - 54 = 18