What proportional segment lengths verify that QS¯¯¯¯¯∥MN¯¯¯¯¯¯¯ ?
Enter your answers in the boxes.
__ __
1.5=
Answers
If you look in the diagram, you will see that they 1.5 is right below the 9 and the 2 is right below the 12.
If you put those values in a proportion, you can cross multiply and divide to see that they are in proportion. Since they are in proportion, the two lines are also parallel.
the proportional segments for the given diagram is
[tex]\frac{9}{1.5} =\frac{12}{2}[/tex]
Given:
In the given diagram , QS is parallel to MN
when a line that intersects two sides of the triangle is parallel to third side then the sides are in proportion
From the given the sides are in proportion
[tex]\frac{RM}{MQ} =\frac{RN}{NS} \\\frac{9}{1.5} =\frac{12}{2}[/tex]
so the answer for the given diagram is
[tex]\frac{9}{1.5} =\frac{12}{2}[/tex]
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Related Questions
using these complex zeros (1,1,-1/2,2+i,2-i) factor f(x)=-2x^5 +11x^4 -22x^3 +14x^2 +4x -5
Answers
[tex]\bf (x^2-2x+1)(2x+1)~[(x-2)^2-(i)^2] \\\\\\ (x^2-2x+1)(2x+1)~[(x^2-4x+4)-(-1)] \\\\\\ (x^2-2x+1)(2x+1)~[(x^2-4x+4)+1] \\\\\\ (x^2-2x+1)(2x+1)~[x^2-4x+5] \\\\\\ (x^2-2x+1)(2x+1)(x^2-4x+5)[/tex]
of course, you can always use (x-1)(x-1)(2x+1)(x²-4x+5) as well.
An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 4 cm long. A second side of the triangle is 7.4 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter. Question 3 options: 11.1 cm, 4.9 cm 44.4 cm, 3.2 cm 44.4 cm, 11.1 cm 24 cm, 4.9 cm
Answers
7.4/x=6/4
When we clear "x", we obtain:
6x=(7.4)(4)
x=(7.4)(4)/6
x=4.9 cm (This is the shortest possible length of the third side of the triangle)
Let's find the longest possible length:
4/6=7.4/x
When we clear the "x", we have:
4x=(7.4)(6)
x=(7.4)(6)/4
x=11.1 cm (This is the longest possible length of the third side of the triangle)
Answer:
11.1 cm, 4.9 cm
Ivan earns $8 each time he walks his neighbors dog.he already walked his neighbors dog 5 times.how many more times does he need to walk the dog to earn enough money to buy a game that costs $88
Answers
Answer:
6 more times
Step-by-step explanation:
Can someone help me please, how to add this? Thank you!
Answers
Choice B) [tex]9.9 \angle \underline{76.10^{\circ}}[/tex]
============================================
Explanation:
The given vectors in polar form are
(17,60)
(8,220)
by polar form I mean (r,theta) where
r = magnitude
theta = angle
Convert the polar form (r,theta) = (17,60) to component form
x = r*cos(theta)
x = 17*cos(60)
x = 8.5
y = r*sin(theta)
y = 17*sin(60)
y = 14.72243186
The component form of the first vector is (x,y) = (8.5, 14.72243186)
Do the same for the second vector
x = r*cos(theta)
x = 8*cos(220)
x = -6.1283555
y = r*sin(theta)
y = 8*sin(220)
y = -5.1423009
The component form of the second vector is (x,y) = (-6.1283555, -5.1423009)
Now we add the vectors. Add up the corresponding components
(8.5, 14.72243186)+(-6.1283555, -5.1423009)
(8.5+(-6.1283555) , 14.72243186+(-5.1423009))
(2.3716445, 9.58013096)
So,
(x,y) = (2.3716445, 9.58013096)
is the component form of the resultant vector. Its the vector we get after adding the two original vectors
The last step is to convert this back to polar form
r = sqrt(x^2+y^2)
r = sqrt(2.3716445^2+9.58013096^2)
r = 9.869326564
which is roughly 9.9
theta = arctan(y/x)
theta = arctan(9.58013096/2.3716445)
theta = 76.09548164
which rounds to 76.10
So we end up with (r,theta) = (9.9, 76.10) pointing to choice B as the answer
when the solutions to each of the two equations below are graphed in the xy coordinate plane, the graphs of the solutions intersect at two places. Write the y-coordinate of the points of intersection in the boxes below in order from smallest to largest. y=2x and y=x^2-3
Answers
Since both of these equations have y isolated, we can set them equal to each other:
2x=x²-3
We want all of the variables on one side, so subtract 2x:
2x-2x = x²-3-2x
0=x²-3-2x
Write the quadratic in standard form:
0=x²-2x-3
This is easily factorable, as there are factors of -3 that will sum to -2. -3(1)=-3 and -3+1=-2:
0=(x-3)(x+1)
Using the zero product property we know that either x-3=0 or x+1=0; therefore x=3 or x=-1.
Substituting this into the first equation (it is simpler):
y=2(3) = 6
y=2(-1)=-2
Therefore the coordinates are (3, 6) and (-1, -2).
Answer:
Step-by-step explanation:
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
⇒ -3,
⇒ 0.59,
⇒ 3.41
Trey wants to plant grass in his backyard. His backyard is in the shape of a rectangle. Its length is 31
feet and its width is 24
feet. Suppose each pack of seed covers 12
square feet. How many packs of seed will he need to cover the backyard?
Answers
The first step to solve this problem is to compute for the area of the rectangular backyard. The formula in computing the area of a rectangle is:
A = LW
Substituting the given measurement to the formula:
A = 31 (24)
A = 744 square feet
The area of the backyard is 744 square feet.
Since each pack of seed covers 12 square feet, you need to divide this to the total area of the backyard.
Therefore, you need 62 (744 / 12) packs of seed to cover the backyard.
Trey will need 62 packs of seed to cover his backyard.
Explanation:To find the number of packs of seed Trey will need to cover his backyard, we need to calculate the total area of the backyard and then divide it by the area covered by each pack of seed.
The formula to find the area of a rectangle is length x width. For Trey's backyard, the length is 31 feet and the width is 24 feet, so the area is 31 x 24 = 744 square feet.
Each pack of seed covers 12 square feet, so we divide the total area of the backyard by the area covered by each pack of seed: 744 / 12 = 62 packs of seed.
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Describe the graph of a system of linear equations that has infinite solutions.
Answers
Ben bought a desk for $249.99. The sales tax rate was 6.25%. How much did Ben pay for the desk? Round your answer to the nearest cent. (1 point)
$15.62
$187.49
$265.61
$406.23
Just tell me if its A,B,C, or D.
Answers
So C
The Price for Desk after tax is $265.614.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Ben bought a desk for $249.99.
Tax rate = 6.25%
So, the price for desk after tax
= 249.99 + 249.99 x 6.25%
= 249.99 + 249.99 x 0.0625
= 249.99 +15.62
= $265.614
Hence, the Price for Desk after tax is $265.614.
Learn more about Percentage here:
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Which function has a domain of all real numbers except x=π/2 ±nπ?
A. y=secx
B. y=cosx
C. y=1/sinx
D. y=cotx,
Answers
Answer:
y=cos x
Step-by-step explanation:
A P E X
Guys please help me
this is a system of equation word problem
Answers
.. w = 185 -3d . . . . . . d is the number of days, w is the weight in pounds
Evaluating this for d=7, we have
.. w = 185 -3*7 = 164
The point is represented by the ordered pair (7, 164).
The value on day 7 corresponds to the weight loss due to rejection. We might conclude the reaction to rejection was the cause of death.
PLEASE HELP PLEASE HURRY!!!!!!!!!
BRAINLIEST AVAILABLE
Answers
The second one is is also exponential and the rule is 32 times .25^x and the last one is is linear and the rule is 5x+-4
1]
y = 14 * (7/2)^x This is never going to linear.
2]
y = 32/(4)^x This also is not linear.
3]
y = 5x - 4 This one is linear
If you have a graphing calculator, you might think about graphing these three. The questions are a bit of by guess and by golly. You just have to keep on trying things until you get it. Look at 0 as an x value first.
HELP!!...................
Answers
r = x^2 +5x + 14 = 5^2 +5(5) +14 = 25 +25 +14 = 64
c = x^2-4x +5 = 5^2-4(5) + 5 = 25-20 +5 = 10
r- c = 64-10 = 54
so the store will have a profit of 54,000 after it's 5th month
Answer is C
I WILL GIVE BRAINLIEST FOR Correct Answer
A plane is located at C on the diagram. There are two towers located at A and B. The distance between the towers is 7,600 feet, and the angles of elevation are given.
EXPLAIN YOUR ANSWER
a. Find BC, the distance from Tower 2 to the plane, to the nearest foot.
b. Find CD, the height of the plane from the ground, to the nearest foot.
Answers
Answer:
a. 15052.1ft b. 6122ft
Step-by-step explanation:
Convert -1.2 repeating as a mixed number
Answers
Three times a number added four times the number equals 84 find the number
Answers
3x+4x=84
7x=84
7x/7=84/7
x=12
Triangle ABC was dilated and translated to form similar triangle A'B'C'.
What is the scale factor of the dilation?
A. 1/5
B. 2/5
C. 5/2
D. 5/1
Answers
On this exercise is asked to find the scale factor by which the triangle ABC was
dilated to produce the triangle A'B'C'.
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.
As can be see on the picture the dilation produce was an enlargement meaning that the image is larger that the preimage.
Of this form you can discard the choices A and B as possible solutions.
Lets try 5/2 as the possible scale factor:
(x,y)-- (kx, ky)
A(0,2)--(5/2(0),5/2(2))=A'(0,5)
B(2,2)--(5/2(2),5/2(2))=B'(5,5)
C(2,0)--(5/2(2),5/2(0))=C'(5,0)
Lets try 5/1 or 5 as the scale factor:
A(0,2)--(5(0),5(2))=A'(0,10)
B(2,2)--(5(2),5(2))=B'(10,10)
C(2,0)--(5(2),5(0))=C'(10,0)
As said at the beginning of the question the triangle was not only dilated.
After a dilation and a translation, the scale factor of the dilation is letter C or 5/2.
correct answer is 5/2
Jim runs a food cart and during a business outdoor Festival he sold $8470 worth of food he sells hot dogs for $2.50 and steak sandwiches for $10 if he sold a total of 985 items that they how many of each item did he sell?
Answers
x: hot dogs
y: steak sandwiches
We write the following system of equations:
2.50x + 10y = 8470
x + y = 985
Resolving graphically we have:
x = 184
y = 801
Note: see attached image for the solution.
Answer:
He sold:
hot dogs = 184
steak sandwiches = 801
△ABC∼△DEF , △ABC has a height of 20 inches, and △DEF has a height of 24 inches. What is the ratio of the area of △ABC to the area of △DEF ? Enter your answer, in simplest form, in the boxes. :
Answers
h1---------------> height of △ABC
b1---------------> base of △ABC
h2--------------->height of △DEF
b2---------------> base of △DEF
we know that
h1=20 in
h2=24 in
Since they are similar, their bases must be in the same proportion:
h1/b1=h2/b2------> 20/b1=24/b2-----------> 24b1=20b2
b1=20b2/24-------------> equation 1
Area of △ABC=b1*h1/2
Area of △DEF=b2*h2/2
Let
r------>[the ratio of the area of △ABC to the area of △DEF]
r=[b1*h1/2]/[b2*h2/2]------> [b1*h1]/[b2*h2]
r=[20b1]/[24b2]---------------> equation 2
I substitute 1 in 2
r=[20(20b2/24)]/[24b2]--------> r=20²/24²-------> r=0.6944
the answer is
the ratio of the area of △ABC to the area of △DEF is 0.69
For a school group, a skating rink charges a flat fee of $50 for skates for the students to use the skating rink.
•For 40 Students the skating rink charges 180.
•For 75 students, the skating rink charges 293.75
Which question represents the amount the skating rink charges for x students?
A)y=3.25x+35
B)y=3.25x+ 50
C)y=4.50x+ 35
D) y=4.50x+ 50
Answers
That fixed part is given by the fee for skates, which is $50.
The variable part depends on the quantity of students which is called 'x'. For this part, you are provided with a couple of points where the linear function passes by, they are: A(40,180) and B(75,293.75).
So, first thing to do is getting the slope:
[tex]m= \dfrac{293.75-180}{75-40} = \dfrac{113.75}{35} \\ \\ m=3.25[/tex]
Linear function structure is:
[tex]y=mx+b[/tex]
Where b is the y-intercept, which in this case is the fixed part, 50.
Finally, the function is:
[tex]y=3.25x+50[/tex]
Attached picture shows its graph.
Warren wants to build a rectangular enclosure for his animals. one side of the pen will be against the barn, so he needs no fence on that side. the other three sides will be enclosed with wire fencing. if warren has 500 feet of fencing, you can find the dimensions that maximize the area of the enclosure.
a.let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn). write an function for the area a of the enclosure in terms of w . (hint first write two equations with w and l and
a. solve for l in one equation and substitute for l in the other). a ( w ) = 1/2w
b.what width w would maximize the area? w = ft
c.what is the maximum area? a = square feet
Answers
a = lw
a) l = 500 -2w
.. a = (500 -2w)*w
b) The zeros of the above equation are w=0, w=250. The vertex of this quadratic is on the line of symmetry, halftway between the zeros, at w=125 ft.
c) a = (500 -2*125)*125 = 31,250 . . . . square feet
Let's solve this step by step.
a. We begin by establishing the relationship between the width (w) and the length (l) using the total amount of fencing available (500 feet). Since one side of the pen is against the barn, we only need to fence the other three sides. Thus, the total amount of fencing used will be for two widths and one length, or \(2w + l\).
Setting up the equation for total fencing, we get:
\[2w + l = 500\]
Now, to express \(l\) in terms of \(w\), we solve for \(l\):
\[l = 500 - 2w\]
Next, we can write the function for the area \(A\) of the enclosure in terms of \(w\). Since area is \(width \times length\), we substitute our expression for \(l\):
\[A(w) = w \cdot l\]
\[A(w) = w \cdot (500 - 2w)\]
\[A(w) = 500w - 2w^2\]
This is the function that expresses \(A\) in terms of \(w\).
b. To find the width \(w\) that maximizes the area, we take the derivative of \(A(w)\) with respect to \(w\) and set it equal to zero to find the critical points.
\[A'(w) = \frac{d}{dw}(500w - 2w^2)\]
\[A'(w) = 500 - 4w\]
Setting \(A'(w)\) equal to zero and solving for \(w\):
\[500 - 4w = 0\]
\[-4w = -500\]
\[w = \frac{500}{4}\]
\[w = 125\]
The width that maximizes the area of the enclosure is 125 feet.
c. Now let’s find the maximum area by substituting \(w = 125\) back into the area function \(A(w)\):
\[A(125) = 500 \cdot 125 - 2 \cdot 125^2\]
\[A(125) = 62500 - 2 \cdot 15625\]
\[A(125) = 62500 - 31250\]
\[A(125) = 31250\]
The maximum area that Warren can enclose is 31,250 square feet.
Help please been stuck on this for a week.
Answers
Surface Area = (2 • π • r²) + (2 • π • r • height)
However the 2*PI*r^2 part of the formula is used to calculate the 2 "ends" of a cylinder. Since the problem states that you are NOT to count any of surface area of the "ends" then you only need the (2 • π • r • height) part of the formula.
So, r = 3 inches and height = 8 * 3 inches, the side area equals
2 * PI * r * height
2 * 3.14159 * 3 * 24 =
452.39 cubic inches which is the lateral area.
What is the ratio of CDs & DVDs
Answers
B. 1:4
C. 1:2
D. 1:5
What is the measure of angle x, help
Answers
x = 180 - 73 - 72 = 35
x = 35 degrees
=73
x=180-72-73
=35°
-7(3x+5) use Distributive property to solve
Answers
= ( - 7 )(3x + 5)
= ( - 7 )(3x) + ( - 7)(5)
Answer: = - 21x - 35
The dollar value v(t) of a certain car model that is t years old is given by the following exponential function.
V(t)=24,500(0.95^t)
Find the initial value of the car and the value after 13 years.
Round answers to the nearest dollar as necessary.
Answers
24,500*(0.95^0) =
24,500*1 = 24,500
Hence, the initial value is £24,500
The value after 13 years means t equals 13. Therefore
24,500*(0.95^13) =
12,576.88
Hence, the value after 13 years is about £12,577
Censorship was established in the Bill of Rights. True or false! First answer will be marked brainliest!
Answers
Answer:
make the other brainliest but its false
Step-by-step explanation:
A high school student working part-time as a pizza delivery man had a gross income of 6324 last year. If his federal tax rate was 10% and his state tax rate was 4.2% what was the amount withheld from his pay last year in fenderal tax, state tax, and FICA combined
Answers
Answer:
$1381.79 withheld from his pay last year.
Step-by-step explanation:
A student working as a pizza delivery man and earned = $6324.00
first we calculate all the taxes at the given tax rates
Federal Tax Rate = 10% of 6324.00
= 0.10 × 6324 = $632.40
State Tax Rate = 4.2% of 6324.00
= 0.042 × 6324 = $265.608
FICA is comprised of taxes for social security and medicare. For social security tax rate is 6.2% and for medicare tax rate is 1.45% which add up to 7.65%.
FICA combined Tax Rate = 7.65% of 6324.00
= 0.0765 × 6324 = $483.786
Now we add all the taxes to get what amount withheld from his pay
= 632.40 + 265.608 + 483.786 = $1381.79
$1381.79 withheld from his pay last year.
Solve 2x^3-5x^2-11x-4=0
Answers
x = {-1, -0.5, 4}
The factorization will be
.. (2x+1)(x +1)(x -4) = 0
A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 1 cm more than the shorter leg and the hypotenuse 2 cm more than the shorter leg. how long should the sides of the triangle be?
Answers
The sides should be 3 cm, 4 cm, 5 cm.
find the approximate surface area of a bowling ball with a raius of 5 inches
Answers
Formula for the surface area of a sphere: SA = 4·π·r2
Formula for the volume of a sphere: V = (4/3)·π·r3
Surface area to volume ratio: ( 4·π·r2 ) / ( (4/3)·π·r3 ) = 3 / r
Radius = 5 ---> 3/5