Find the value of x for which M//N. PLEASE EXPLAIN HOW TO SOLVE ALSO
A.
38
B.
62
C.
102
D.
150
Answers
The two angles are complementary so 3x-36+2x+26=180
Just simplify from there.
(3x-36)°+(2x+26)°=180°
(3x-36+2x+26)°=180°
3x-36+2x+26=180
5x-10=180
5x-10+10=180+10
5x=190
5x/5=190/5
x=38
Answer: Option A. 38
Related Questions
Take a look at the figure. What is the value of y? A. y = 16 B. y = 64 C. y = 14 D. y = 32
Answers
[tex] \sqrt{2y} =11 -3[/tex]
[tex] \sqrt{2y} =8[/tex]
square both sides
2y = 64
∴ y = 64/2 = 32
The answer is option D. y = 32
Please help me!!!! Help me find the dimensions. :(
Answers
Volume=πr²h
Area=2πr²+πdh
Ratio of SA to volume=Area/volume
π=3.14
Thus using the above formula:
1.
a]
Radius: 3 inches
Height: 2 inches
Volume=πr²h
volume=π×3²×2=56.52 in³
b]
Area=2πr²+πdh
2×π×3²+π×2×3×2
=56.55+37.68
=94.23 in²
c]
Ratio=area/volume
=94.23/56.52
=1.6672
1.
Radius: 2 inches
Height: 9 inches
a]
V=πr²h
V=3.14*2^2*9
V=113.04 in³
b]
Area=2πr²+πdh
=2*3.14*2^2+3.14*2*2*9
=25.12+113.04
=138.16 in²
c]
Ratio=area/volume
=138.16/113.04
=11/9
3.
Diameter=4 inches
Height= 9 inches
a]
V=πr²h
V=3.14×2²×9
V=113.04
b]
Area=2πr²+πdh
=2*3.14*2^2+3.14*4*9
=25.12+113.04
=138.16 in²
c]
Ratio=area/volume
=138.16/113.04
=11/9
4]
Diameter: 6 inches
Height: 4 inches
a]
Volume=πr²h
=3.14×3²×4
=113.04 in³
b]
Area=2πr²+πdh
=2×3.14×3²+3.14×6×4
=56.52+75.36
=131.88 in²
c] Ratio
131.88/113.04
=7/6
1. For the surface area to volume to be small it means that the area is smaller than the volume, for surface area to volume be larger it means that the surface area is larger than the volume. It is more economical for the surface area to volume to be small because it will mean that small amount of materials make cans with large volume. This means cost of production is cheaper.
2. To evaluate this process let's use one of the dimensions:
Radius: 3 inches
Height: 2 inches:
i. add radius and height:
3+2=5 inches
ii. Multiply radius and height:
3×2=6
iii. Dividing the result from step 1 by the result in step 2:
5/6
iv. Multiply the result from step 3 by 2:
5/6×6
=5
This result does not seem to add up to the result in our earlier ratio. Thus we conclude that Khianna was wrong. This method can't work with 3-D figures.
Four of a sample of 150 computers will be selected and tested. How many ways are there to make this selection? Type a numerical answer in the space provided. Do not type any commas or spaces in your answer.
Answers
The number of ways of selecting 4 computers from 150 computers = 150C4= 20260275
There are 20260275 ways of selecting 4 computers from 150 sample of computers.
Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (-1+i)+(21+5i)
Answers
Answer:
c
Step-by-step explanation:
edge 2020
Answer:
The correct answer is C.
Step-by-step explanation:
The ball game begins at 2pm. It takes ying 30 minutes to get to the ballpark. At what time should ying leave home to get to the the game 30 minutes before it starts
Answers
a jogger runs around a 220 yard track in 125 seconds. what is the average speed in yards per second? Explain.
Answers
Answer: You can find how much yps (yards per second) by dividing 220 by 125. Divided, 220 / 125 ==> 1.76 He runs 1.76 yps. To check, you can multiply 1.76 by 125. Multiplied, 1.76 x 125 ==> 220. This is true.
Hope this helped you! ♥
Hey can you please help me posted picture of question
Answers
1) Rolling a die
Sample Space = {1,2,3,4,5,6}
Total number of outcomes in sample space = 6
Favorable outcomes = Odd number
Number of Favorable outcomes = 3
Probability of getting an odd number = 3/6
2) Tossing a coin
Sample Space = {H, T}
Probability of getting a head= 1/2
The probability of getting odd number and head will be the product of two probabilities, which will be = 3/6 x 1/2 = 3/12
Thus there is 3/12 = 1/4 (0.25 or 25%) probability of getting an odd number and a head in given scenario.
So correct answer is option C
One of the two sides of the coin is a head, so the probability of tossing a head is 1/2.
These are considered to be independent events, so the joint probability is the product of these probabilities.
The probability of getting an odd number and a head is
(3/6)*(1/2) = 3/12
The appropriate choice is ...
C. 3/12
Given the parent function f(x)=x^2 describe the graph of g(x)=(3x-6)^2+3
a.
expanded vertically by a factor of 3, horizontal shift left 6, vertical shift up 3
c.
compressed horizontally by a factor of 1/3, horizontal shift right 2, vertical shift up 3
b.
expanded horizontally by a factor of 3, horizontal shift left 6, vertical shift up 3
d.
compressed vertically by a factor of 1/3, horizontal shift right 2, vertical shift up 3
Answers
Vertical expansions:
To graph y = a * f (x)
If a> 1, the graph of y = f (x) is expanded vertically by a factor a.
f1 (x) = (3x) ^ 2
Horizontal translations
Suppose that h> 0
To graph y = f (x-h), move the graph of h units to the right.
f2 (x) = (3x-6) ^ 2
Vertical translations
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
g (x) = (3x-6) ^ 2 + 3
Answer:
expanded horizontally by a factor of 3, horizontal shift rith 6, vertical shift up 3
Answer:
C. Compressed horizontally by a factor of 1/3, horizontal shift right 2, vertical shift up 3
Step-by-step explanation:
If a function f(x) is transformed and make f(kx),
f(x) is compressed horizontally by the factor 1/k if k > 1
f(x) is stretched horizontally by the factor 1/k if 0 < k < 1
Also, if f(x) is transformed and make f(x+a),
f(x) is shifted right if a < 0
f(x) is shifted left if a > 0,
Now, if f(x) gives f(x) + k after transformation,
f(x) is shifted vertically k unit up if k > 0,
f(x) is shifted vertically k unit down if k < 0,
Here, the parent function,
[tex]f(x) = x^2[/tex]
transformed function,
[tex]g(x)=(3x-6)^2+3=(3(x-2))^2+3[/tex]
Thus, by the above explanation,
f(x) is compressed horizontally by a factor of 1/3, horizontal shift right 2, vertical shift up 3.
Option C is correct.
What is the volume of a cube with an edge length of 4.5 cm?
Enter your answer, as a decimal, in the box.
___ cm 3
Answers
hope this helps...
Brainliest would be fantastic, have a nice day!!
hey can you please help me posted picture of question
Answers
r = f (t)
Where,
Independent variable is t.
Dependent variable is r.
To find the inverse we solve for the independent variable, that is, the data entry variable.
Answer:
FALSE
option B
Which of the following uses estimation to check 267 - 154 = 113
A. 300 - 150 = 150
B. 300 - 200 = 100
C. 270 - 150 = 267
D. 113 + 154 = 267
Answers
Explanation:
You can do that estimation searching to make a quick verification, because adding rounding 154 to the tens leads to 150 and it is very easy to subtract 267 - 150 instead of 267 - 154, driving to a quick approximate check of the subtraction.
Hey can you please help me posted picture of question
Answers
Explanation:
The number of leaves in a tree diagram for probabilities is equal to the number of possible outcomes.
Tossing a coin 5 times leads to these results:
First,second, third and fourth tossing are the nodes; and fifth tossing has the leaves.
Root → 2 nodes → 2² nodes → 2³ nodes → 2⁴ → 2⁵ leaves = 32
Those 32 leaves is this sample space:
head-head-head-head-head
head-head-head-head-tail
head-head-head-tail-head
head-head-head-tail-tail
head-head-tail-head-head
head-head-tail-head-tail
head-head-tail-tail-head
head-head-tail-tail-tail
head-tail-head-head-head
head-tail-head-head-tail
head-tail-head-tail-head
head-tail-head-tail-tail
.......... (continue)
And so on until you have included all the possibilities, ending with tail-tail-tail-tail-tail. Those will be 32 outcomes.
please help me with math
i need it soon
Answers
We are told that Mrs. Thymes is buying mulch for her gardens.
Let us check the price for each option:
[tex]\boxed {Option \ A}[/tex]
3 yd³ for $165
Divide 165 by 3, to find the price per cubic yard:
[tex] \frac{165}{3} [/tex] = $55 per cubic yard
[tex]\boxed {Option \ B }[/tex]
4 yd³ for $240
Do the same:
[tex] \frac{240}{4} [/tex] = $60 per cubic yard
[tex]\boxed {Option \ C }[/tex]
6 yd³ for $300
[tex] \frac{300}{6} [/tex] = $50 per cubic yard
[tex]\boxed {Option \ D }[/tex]
8 yd³ for $360
[tex] \frac{360}{8} [/tex] = $45 per cubic yard
Therefore, we can see that 8 yd³ for $360 is the best price
[tex]\boxed {Your \ Answer \ will \ be \ Option \ D }[/tex]
A. $165/(3 yd³) = $55/yd³
B. $240/(4 yd³) = $60/yd³
C. $300/(6 yd³) = $50/yd³
D. $360/(8 yd³) = $45/yd³ . . . . . . . this is the best price per cubic yard.
require help with this question
Answers
(revenue in year n) = (units sold in year n)*(price per radio in year n)
r(n) = (450 +50n)*(20 +n^2/45) = (10/9)n^3 +10 n^2 +1000n +9000
The cost for the production of all radios sold is given. Profit is then ...
(profit in year n) = (revenue in year n) - (cost in year n)
(profit in year n) = (10/9)n^3 +10n^2 +1000n +9000 -(1000 +10n^2)
(profit in year n) = (10/9)n^3 +1000n +8000
P(n) = (10/9)(n^3 +900n +7200)
b) The sum of numbers 1 to n is given by n(n+1)/2. The sum of numbers 1 to n^3 is given by (n(n+1)/2)^2. The sum of n constants is n*(the constant). Thus the sum T(n) of the terms of P(n) will be the sum of these polynomials multiplied by appropriate factors. It can be written in the form shown in the problem statement.
c) T(20) is computed to be 419,000, so is a little short of predicting the actual value of the contract.
Which of the following equations is the result of completing the square on x 2 - 6x - 9 = 0?
Answers
x² - 6x - 9 = 0
x² - 6x = 9
x² - 6x + 9 = 9 + 9
x² - 6x + 9 = 18 is your equation.
If you want, I can keep going:
(x - 3)² = 18
x - 3 = +/- √18
x - 3 = +/- 3√2
x = 3 +/- 3√2
For a certain manufacturer, only ⅘ of the items produced are not defective.If 2,000 items are manufactured in a month, how many are not defective?
Answers
2,000 * 4/5
8000/5
Now you simply divide:
1600
1600 chips aren't defective
what is the median of this data set 17,42,53,97,102,82
Answers
To solve this you put the number in order so (17 42 53 82 97 102) then you count them off by removing them left to right, first 17, then 102, then 42, then 97, then you are left with 2 numbers in the middle so you average them by adding them together and then dividing them by 2 to get 67.5. If you are left with one in the middle then that is your answer.
4.63 clark's country pet resort is fencing a new play area for dogs. the manager has purchased 130 yd of fence to enclose a rectangular pen. the area of the pen must be 1050 ydsquared. what are the dimensions of the pen?
Answers
Therefore,
Circumference, C = 2W+2L= 130 yd
Area, A = LW = 1050 yd^2=> L = 1050/W
Using the circumference expression and substituting for L;
130 = 2W + 2(1050/W) = 2W+2100/W
130*W = 2W*W + 2100
130W = 2W^2 +2100
2W^2-130W+2100 = 0
Solving for W;
W= [-(-130)+/- Sqrt ((-130)^2-4(2)(2100)]/2*2 = 32.5+/- 2.5
W = 30 or 35 yd
When W = 30, L = 1050/30 = 35
When W = 35, L = 1050/35 = 30
Therefore, W = 30 yd and L = 35 yd.
The problem involves determining the dimensions of a rectangular pen using given fencing length and area. Two possible solutions were found: the dimensions of the pen could be 30 yards by 35 yards, or 100 yards by 15 yards.
The manager at Clark's Country Pet Resort is trying to construct a rectangular pen for dogs with a fixed amount of fencing and a desired area.
Given that the length of the fencing is 130 yards and the area must be 1050 square yards, we can solve this problem by applying algebra and the principles of rectangle properties.
Consider 'l' to be the length of the rectangle and 'w' to be the width of the rectangle. We know that the perimeter of a rectangle is 2l + 2w. Given the total length of fencing available is 130 yards, it can be formulated as 2l + 2w = 130.
The area of a rectangle is given by l*w. As we know the area is 1050 square yards, it can be written as l*w = 1050.
We now have a pair of equations which we can solve simultaneously to find the values of 'l' and 'w'.
From the first equation, we can express 'w' as (130 - 2l) / 2. Putting this into the area equation gives us l * (130 - 2l) / 2 = 1050. Solving for 'l' we get two possible solutions: l = 30 yd or l = 100 yd. By substituting these values back into the first equation, we get the corresponding values of 'w' which are 35 yd and 15 yd respectively.
Thus, the dimensions of the pen could be either 30 yd by 35 yd or 100 yd by 15 yd.
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Q # 8 Solve the graph please
Answers
CD congruent with XY, DA congruent with YZ, AC congruent with ZX
A printer can print 27 pages in 4.5 minutes. How much time does it need to print 324 pages?
Answers
Now, solve for n.
N=54
So, 54 minutes is the answer!
The life of a certain brand of battery is normally distributed, with mean 128 hours and standard deviation 16 hours. What is the probability that a battery you buy lasts at most 100 hours? Standardize the variable.
Answers
Answer:
x = 100 is equivalent to z = -1.75
Step-by-step explanation:
Answer:
1-P(z<1.75) D in EDG
Step-by-step explanation:
For the second part !!
15t+30+5t=-4t+6 please show step by step
Answers
24t=-24
t=-1
A complex fraction is a fraction of a fraction.
True
False
Answers
Answer:
The answer is TRUE
Step-by-step explanation:
what is 6.4 ÷ 4.6272
Answers
multiply by reciprocal of that fraction-32/2 times 625/2892
reduce the numbers wit 5 -32 times 125/2892
calculate-1000/723
Let f = (ax + by + 4z) i + (x + cz) j + (9y + mx) k where a, b,c, and m are constants.
a.suppose that the flux of f through any closed surface is 0. which of the constants can be determined?
Answers
[tex]\displaysytle\iint_{\mathcal S}\mathbf f(x,y,z)\cdot\mathrm d\mathbf S=\iiint_{\mathcal R}\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV[/tex]
We have
[tex]\nabla\cdot\mathbf f(x,y,z)=\dfrac{\partial(ax+by+4z)}{\partial x}+\dfrac{\partial(x+cz)}{\partial y}+\dfrac{\partial(9y+mx)}{\partial z}=a[/tex]
so that the flux satisfies
[tex]\displaystyle a\iiint_{\mathcal R}\mathrm dV=0[/tex]
We're assuming [tex]\mathcal R[/tex] is a closed region, and the integral above is its volume, which must be positive. This means we must have [tex]a=0[/tex].
If the flux of a vector field through a closed surface is zero, this implies that the divergence of the field is zero everywhere. This condition can be used to determine some constants of the vector. In the provided equation, we can determine one of the constants a, c or m if we know the other two.
Explanation:The subject matter of this question is within vector calculus, a field of mathematics used in physics and engineering. The question talks about the flux of a vector field f through a closed surface which is given to be zero.
When the flux through any closed surface is zero, it implies that the divergence of the vector field f is zero everywhere. This condition allows us to determine some of the coefficients of the components of f. In this case, we have: f = (ax + by + 4z) i + (x + cz) j + (9y + mx) k
The operation that gives the divergence of a vector field in three-dimensional Cartesian coordinates is given by the dot product of the del operator with the vector field. This means:
div f = ∂/∂x(ax+by+4z) + ∂/∂y(x+cz) + ∂/∂z(9y+mx) = a + c + m
For the flux of f through the surface to be zero, the divergence of f needs to equal zero, that is a + c + m =0. Therefore, for a given set of a, c, and m, we can determine one of them knowing the others.
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In a class of 40, 28 passed their maths test. What fraction of the class passed?
Answers
Out of a class of 40 students, 28 passed their maths test. The fraction of the class that passed the test is 28/40, which simplifies to 7/10.
Explanation:The class consists of 40 students. The problem mentions that 28 of these students passed their maths test. To find the fraction of the class that passed, we have to compare the number of students who passed with the total number of students in the class. This is done by dividing the number of students who passed the test by the total class size. So, the fraction of the students who passed is 28/40. However, this fraction can be simplified by dividing both the numerator (28) and the denominator (40) by their greatest common divisor, which is 4. The result is 7/10. Therefore, the fraction of the class that passed the maths test is 7/10.
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The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot
Answers
The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot. The base of the rectangular prism is not a square and the width is greater than 2 feet. What is the length and width of the rectangular prism?
let
x-------> the length of the base of the rectangular prism
y-------> the width of the base of the rectangular prism
we know that
volume of the prism=area of the base*height
volume=48 ft³
height of the prism=3/4 ft
area of the base=volume/height--------> 48/(3/4)---> 48*4/3----> 64 ft²
area of the base=64 ft²
area of the base=x*y
64=x*y--------> equation 1
y=x+2--------> equation 2
substitute equation 2 in equation 1
64=x*[x+2]-----> 64=x²+2x------> x²+2x-64=0
using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=7.062 ft
y=x+2-----> y=7.062+2-----> y=9.062 ft
the answer is
the length of the base of the rectangular prism is 7.062 ft
the width of the base of the rectangular prism is 9.062 ft
First answer gets a thanks
Any and all answers gets 5 stars
Most reliable answer gets brainliest.
The dot plot below shows the number of books 26 students read in a month:
Dot plot labeled Number of Books Read shows 10 dots over 0, 7 dots over 1, 3 dots over 2, 2 dots over 3, 1 dot over 4, and 3 dots over 10.
Is the median or the mean a better center for this data and why?
A: Mean; because the data is skewed and there are outliers
B: Mean; because the data is symmetric and there are outliers
C: Median; because the data is skewed and there are outliers
D: Median; because the data is symmetric and there are outliers
Answers
This is because the median of this would not be accurate for the number of kids that read no books and the random three kids that read ten. Mean, however, would find the true median within the plot and utilize and take into account the outliers and how skewed the data is.
Hope this helps!
On a certain day, $1 is worth 30.23 Russian rubles.Omar has $75.How many rubles will he get in exchange?
Answers
Hope this helps!
To find this you multiply his amount of money ($75) by how many Russian Rubles $1 equals (30.23). This will give you an answer of 2,267.25.
I hope this helps!
Cody is twice as old as Evan and seven years ago the sum of their age was 7. find the age of each boy now
Answers
Evan: x
x-7 (Evan’s age 7 years ago (-7))
2x-7( Cody’s age 7 years ago (-7))
So you add both
x-7+2x-7
And that should equal 7 (seven years ago the sum of their age was 7)
x-7+2x-7=7
3x-14=7
3x=21
x=7
Evan (x)= 7
Cody (2x)= 7 times 2
Cody= 14
Cody is currently 14 years old and Evan is 7 years old, as determined by setting up an equation based on the information provided and solving for their ages.
Let's set up an equation to solve this problem by letting the current age of Evan be x. Since Cody is twice as old as Evan, Cody's current age would be
2x. We are told that seven years ago, their ages added up to 7. Therefore, we can express this as (x - 7) + (2x - 7) = 7. Simplifying this equation gives us 3x - 14 = 7. Adding 14 to both sides gives us 3x = 21. Dividing both sides by 3 gives us x = 7, which is Evan's current age. Therefore, Cody's age is 2x which is 2*7 = 14. Cody is 14 years old and Evan is 7 years old now.