Using the principle of parallel lines, the value of x in the given triangle is calculated to be 8
The smaller triangle can be expressed as :
Side / base = 6/x ----(1)The larger triangle can be expressed as :
Side / base Side = 6+9 = 15 15/20 - - - - - (2)Equating (1) and (2) :
6/x = 15 / 20
15x = 20 × 6
15x = 120
x = 120 / 15
x = 8
Therefore, the value of x in the triangle is 8.
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If y=6 when x=2 over 3 find x when y=12
Answer:
4/3 or 1 1/3
Step-by-step explanation:
So if y = 6, when x = 2/3. Then, x would equal 1 and 1/3, because 12 is twice the amount of 6, so you'd also multiply 2/3 by 2.
(To multiply a whole number by a fraction, first multiply the whole number by the numerator and then divide that by the denominator. For example: 2 × 2 = 4, since you can't really divide 4 by 3 it would stay as is, but you can turn it to a mixed number. 4/3 is the same as 1 whole and an extra 1/3, or in other words 1 1/3).
Hope this helped :)
Solve for y in terms of v, w, x, and z.
wy=–zvx
Answer:
y = (-zvx)/w
........
Two cyclists start from 98 miles apart and begin racing toward each
other. Three hours later, they have not yet met and the distance between
them is 2 miles. How fast is each of them biking if one bikes 3 mph
slower than the other?
The speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.
Let the speed of one bicyclist=x mph
Let the speed of the other bicyclist=(x+3) mph
Hence:
Speed of one bicyclist:
3x+3(x+3)+2=98
3x+3x+9+2=98
6x=87
Divide both side by 6x
x=87/6
x=14.5 mph
Speed of the other bicyclist:
x+3 mph
14.5 mph+3 mph
=17.5 mph
Inconclusion the speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.
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2. The price of a gallon of gas was $2.95 on Monday. On Wednesday, the price of a gallon of gas rose to $3.15. How much did the price rise?
The amount of $ by which the price increased
Help
Answer:
0.2
Step-by-step explanation:
2.95-3.15
if you are struggling for math download the fastmath app on your moblie phone then scan the eqation to get a answer fast. also you can find the steps to help undersatnd
Answer:
thank you :) for the points
Answer:
Thanks
Step-by-step explanation:
Will someone please help me ASAP
Answer:
y- [2] = 4(x - [3])
Answer:
y-2 = 4(x-3)
Step-by-step explanation:
The point slope equation is
y - y1 = m(x-x1) where m is the slope and (x1,y1)
y-2 = 4(x-3)
please help on 6 and 7 !!
Answer:
, o0e1g02gd20ugd2pigs1ogdp1usg1usg2sg9gsulsg2upgpu2gdu2
Step-by-step explanation:
Upf2upg2epu96fsgd2jgdf2u2gs2pugdpu2v20udg0u2dg2d07gdu02v0uvdu2udih28db2 uwg02u8g8whd2idb0u3df'3
Kbudwigwivsus8hd3ib3idhkdwvdjwbi3bxoxhk2xv2ixb2ibx83dh82hd3uvdusv0u2vdodvpu2vu2dbi3dvdhddhdug2dHdib3ibddbidb8hf
Jf3ihdi2hdh2odn3foj3fohf8echwdvdih2d8hf28hfi2dhpuvdudb2i3hdif3hidi2dbi2dbdhihdi3bdi3bdebx9dgdibiwvdv2usb3ibxi2gdnodiv2uvdk3bdib3d3idvjb3dk2bdkvxkbwjbxwIwdgid2bi2bvvz
Jdi3hi3dhi3dboefb3idbibf8e
3idbihi2hdowdndiwb
Whdkwdbkei3fh
Xhwoxbeifiebc
Oejfoefbo3nf
PLEASE PROVIDE A PICTURE graph the solution to this system of inequalities in this coordinate plane. 3у > 2х + 12
2x +y < -5
Answer:
The double shaded region
Worth 100 Points!
Help, this is after an test. And I still don't understand it. Could someone please help me understand this question related to inverse functions? Thanks!
You were close, and have the right idea, but I think you did it a bit backwards! You want to "flip" it over the y=x line (picture attached below)
To solve for the inverse, you will find the equation of the original, switch the x and y, then solve for y.
We can (mostly, I think?) tell the equation for f(x) is as follows, so we switch the y and x for the steps following to solve for y:
[f(x)] y = -2x + 2
[switch] x = -2y + 2
[subtract 2 from both sides / flip equation] -2y = x - 2
[divide both sides by -2] y = -2x -4
So our equation for g(x) will be about y = 2x -4
(inverse so the negative is weird)
Photos:
- first is y=x
- second is the general idea of the inverse for what g(x) should look like
- third is kinda what the graph will look like (digitally)
I know this isn't a *perfect* answer, but I hope it explains it some and helps. Good luck! :D
On a coordinate plane, 2 rectangles are shown. Rectangle P Q R S has points (negative 3, negative 5), (negative 2, negative 5), (negative 2, negative 1), (negative 3, negative 1). Rectangle P double-prime Q double-prime R double-prime S double-prime has points (negative 5, 5), (negative 5, 4), (negative 1, 4), (negative 1, 5).Which rule describes the composition of transformations that maps rectangle PQRS to P''Q''R''S''?R0,270° ∘ T0,2(x, y)R0,180° ∘ T2,0 (x, y)T0,2 ∘ R0,270°(x, y)R0,2 ∘ T0,180°(x, y)
Answer:
T0,2 ∘ R0,270°(x, y)
Step-by-step explanation:
Answer:
c or T0,2 ∘ R0,270°(x, y)
Step-by-step explanation:
edge 2021
Can some pls help me
Answer:
5.29
Step-by-step explanation:
(Side)^2 = (Hypotenuse)^2 - (Side)^2
(Side)^2 = (8)^2 - (6)^2
(Side)^2 = 64 - 36
(Side)^2 = 28
Side = √28
Side = 5.29
_________
[tex] \: [/tex]
a² = c² - b²
a² = 8² - 6²
a² = 64 - 36
a² = 28
a = √28
a = 2√7
Gene is creating a rectangular prism. The base of his prism is shown below. He plans to have a height of 5 cubes.
Answer:
its equals 30 cubic units
Happy To Help :) Pls mark brainliest
Step-by-step explanation:
The values for three different sets of data are shown below.
Data
Data Set
Values
1
52, 55, 59, 53, 50
2
40, 49, 43, 42, 90, 38
3
24, 30, 26, 31, 40, 26
Without calculating any statistics, Jadyn knows that data set 1 would have the least mean absolute deviation among the three sets. Which statement explains how she knows?
Sets 2 and 3 have an even number of values.
Set 1 has the least number of values.
Sets 2 and 3 contain outliers.
Set 1 contains an outlier.
Answer:
data set 3 would have the least mean absolute deviation among the three sets since there is less spread of the data and the data values in set-3 lie close to the mean.
Step-by-step explanation:
The mean absolute deviation is a measure of spread of the data.
If the data values in the given data set are widely spread then we obtain a higher mean absolute deviation.
if the data values of a given data set are close to each other i.e there is a less spread of the data and hence the mean absolute deviation will be low as the data values will lie close to the mean.
We are given three data set as:
set- 1 42, 48, 50, 88, 49
set- 2 63, 29, 35, 28, 30
set- 3 2, 5, 3, 8
Hence, we could observe that the data values in set 1 and set 2 are widely spread.
In set-1 the data value 88 is much higher value as compared to other data values.
Similarly in set-2 the data value 63 is again a much higher value as compared to other data values.
Whereas in set-3 the data values are all closely related and there is not much spread in the data.
Answer:
It is c
Step-by-step explanation:
After swimming to a depth of 55 feet below the surface of
the water, a fish swims back up 30 feet. Use a number line
a
to help you create an equation that shows the new location
of the fish in relation to the water's surface.
-80 -70 -60 -50 -40 -30 -20 -10 0
10
Interpret the sum in the context of the problem.
A. The equation is -55 +(-30) = -85. The fish is 85 feet below
the water's surface.
O B. The equation is -55+ 30 = -25. The fish is 25 feet below the
water's surface.
C. The equation is -55+ (-30) = -25. The fish is 25 feet below
the water's surface.
D. The equation is -55+ 30 = -85. The fish is 85 feet below the
water's surface.
Answer:
Your answer to this question is B. The equation is -55 + 30 = -25. The fish is 25 feet below the water's surface.
Step-by-step explanation:
Hope this helps!
Answer:
B. The equation is -55 + 30 = -25. The fish is 25 feet below the water's surface.
Step-by-step explanation:
HOPE IT HEPL!! :D
what is the equation of line that is perpendicular to the line: y=3x-6 and goes through the point ( -3 , 6 )
Step-by-step explanation:
y = 3x - 6
the slope of a line is always the factor of x in the equation. in our case here : 3 = 3/1.
the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).
the perpendicular slope (crosses the original line in a right angle = 90 degrees) turns x and y upside-down and flips the sign.
so, in our case, it is -1/3.
the equation for the perpendicular line looks like this then :
y = (-1/3)×x + b
to get b we use the provided point and it's x and y values.
6 = (-1/3)×-3 + b = 1 + b
b = 5
so, the full equation of the perpendicular line is
y = (-1/3)×x + 5
Can someone please help me with this I really need help.
Answer:
The angle mPQO is 86°
Step-by-step explanation:
123°-37°
Maybe can I have some help?
A stack of 30 science flashcards includes a review card for each of the
following: 10 insects, 8 trees, 8 flowers, and 4 birds.
What is the probability of randomly selecting an insect?
The probability of randomly selecting an insect is 2/15.
What is probability?
It is a measure of happening or non happening of the outcomes of a random experiment.
Formula for probabilityP(E) = number of favorable outcomes/Total number of outcomes
Where, P(E) is the probability of any event.
Let E be an event of selecting an insect.
According to the given question
We have
Total number of insects = 10
Total number of trees = 8
Total number of flowers = 8
Total number of birds = 4
Now, the total number of outcomes = 10 + 8 + 8 + 4 = 30
Total number of favorable outcomes = 4
Therefore,
The probability of selecting an insect = [tex]\frac{4}{30} =\frac{2}{15}[/tex]
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If the fraction 396/x-10 is equivalent to -22, find the value of x
Answer:
-33
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
396/x-10-(-22)=0
Answer:
-33
Step-by-step explanation:
my work is done in the image below
Find the area of this triangle.
Answer:
84 cm²
Step-by-step explanation:
Area triangle = 1/2(b x h)
Area = 1/2(21 x 8)
Area = 1/2(168)
Area = 84
84 cm²
-Chetan K
Please help! And give explanation please
Answer:
the answer is option D
Step-by-step explanation:
if you add the no of students in favour of the survey
32+42+58+64=192
which makes the first option incorrect.
The opinion of tenth and eleventh graders are not identical.
11th and 12th graders gave a favourable response
so options A,B and C are incorrect
Help please i need to know this
Answer:
As shown in the attachment,
Step-by-step explanation:
parallelogram ABCD with vertices A(6,8) B(10,9) C(9,3) and D(5,2): 90 counterclockwise rotation about P(4,1)
A ( , )
B ( , )
C ( , )
D ( , )
Answer:
A(-3 , 3) B(-4 , 7) C(2 , 6) D(3 , 2)
Step-by-step explanation:
Rotation of the parallelogram about the point P(4, 1), is done by taking
point P as the origin, and using relative coordinates for the rotation.
[tex]\underline{A(-3, \, 3)}[/tex][tex]\underline{B(-4, \, 7)}[/tex][tex]\underline{C(2, \, 6)}[/tex][tex]\underline{D(3, \, 2)}[/tex]Reasons:
The given parameters are;
Vertices of the parallelogram ABCD are;
A(6, 8), B(10, 9), C(9, 3) and D(5, 2)
Point about the parallelogram is rotated = P(4, 1)
Angle of rotation = 90°
Direction of rotation = Counterclockwise
90° rotation counterclockwise of (x, y) about the origin gives → (-y, x)
Therefore, we have;
The given points relative to the point P are;
A'(6-4, 8 - 1) = A'(2, 7)
B'(10 - 4, 9 - 1) = B'(6, 8)
C'(9 - 4, 3 - 1) = C'(5, 2)
D'(5 - 4, 2 - 1) = D'(1, 1)
Therefore, we get;
A'(2, 7) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] A''(-7, 2)
B'(6, 8) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] B''(-8, 6)
C'(5, 2) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] C''(-2, 5)
D'(1, 1) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] D''(-1, 1)
Which then gives;
The image location are;
A(-7 + 4, 2 + 1) = A(-3, 3)
B''(-8 + 4, 6 + 1) = B(-4, 7)
C''(-2 + 4, 5 + 1) = C(2, 6)
D''(-1 + 4, 1 + 1) = D(3, 2)
Therefore, we have;
A(-3, 3), B(-4, 7), C(2, 6), and D(3, 2)
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The latest thrill ride at a popular theme park takes roller coaster fans on an exciting ride. In the first 20 seconds, it carries its passengers up a 100-meter hill, plunges them down 72 meters, and quickly takes them back up a 48-meter rise. How much higher or lower from the start of the ride are they after these 20 seconds?
HELP ME PLEASE!!!!
100-meter rise, 72-meter descent followed by a 48-meter rise
100-72+48 = 76
after these 20 seconds, they are 76 meters higher than at the start of the ride
This question requires you to enter the answer in the box provided on the screen.
Fractions should be entered in lowest terms using a forward slash (/) and converted to improper fractions when applicable.
Use only numbers, a negative sign (-), a decimal point (.), and/or a forward slash (/) to enter the answer.
Two numbers are given.
64 and 80
What is the greatest common factor of these two numbers?
Answer:
16
Step-by-step explanation:
The greatest common factor is the greatest integer which divides evenly into both numbers. One way to find this is to list all of the divisors of one of the numbers, and then select the biggest of those that divides evenly into the other number, and that number is the greatest common factor.
We start with 64.
Its divisors are 1, 2, 4, 8, 16, 32, 64. The biggest of those numbers which divides evenly into 80 is 16.
Thus, the greatest common factor is 16.
please somebody answer this last one !!!!!!
Hope this helps :)
need more help just comment :) :)
Vector q has a magnitude of 3.5 meters and points due west. Vector r has a magnitude of 3.5 meters and points due east. Both vectors have the same terminal point, but different initial points.
Are the two vectors equivalent?
A
Yes, because the vectors have the same magnitude.
B
Yes, because the vectors the same terminal point.
C
No, because the vectors do not have the same initial point.
D
No, because the vectors do not have the same direction.
[tex]\huge\mathtt\colorbox{white}{D}[/tex]
By definition, two vectors are equal if and only if they have the same magnitude in the same direction.
[tex]\huge\underline\mathsf\colorbox{cyan}{pl go with D}[/tex]
Please help me out. Last question I have to finish !!!
105 people
I hope this helps I would appreciate brainliest if possible :)
Answer:
okay so 105 x 37 = 3885 + 80 + 3965 Which is the max within there budget
Step-by-step explanation:
so your answer is 105
Which of the following is most likely the next step in the series?
B.
SUBMIT
Answer:
I would say A.
Step-by-step explanation:
The pattern is blue, red, red, blue, blue, red, so then another red?
I apologize if im incorrect
Han is multiplying 10x^4 by 5x^3 and gets 5x^7. He says that 0.5x^3 is not a polynomial because 0.5 is not an integer. What is the error in Han’s thinking? Explain your reasoning.
The result of the product with [tex]5x^7[/tex], we can see that Han neglected the zero taking 50 the same as 5 which is wrong
Given the polynomial functions
r(x) = [tex]10x^4[/tex]
t(x) = [tex]5x^3[/tex]
Taking the product of both functions:
P(x) = r(x) * t(x)
P(x)= [tex]10x^4\times 5x^3[/tex]
P(x) = [tex](10\times 5) \times(x^4\times x^3) = 50x^7[/tex]
Comparing the result of the product with [tex]5x^7[/tex], we can see that Han neglected the zero taking 50 the same as 5 which is wrong.
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