If Jeremy wants to try to prove ∠3 ≅ ∠6, then the statement that Jeremy can write is ∠1 ≅ ∠4
That's it :)
Based on this dotplot and the sample of 25 online news readers, which conclusion can be drawn?
Answer:
It is most likely that, out of 25 online readers, between 12 and 13 work in the business industry.
Step-by-step explanation:
Answer:
There is about a 0.046 chance that 9 or fewer online readers work in the business industry. This is unusual and is convincing evidence that less than 50% of online readers work in the business industry.
Step-by-step explanation:
I just took the test, The other person is very wrong!!!
Your friend has a bag of yellow and purple candy. He wants to use them to play a game with you.
Purple is worth 2 points and yellow is worth three points. Pick 9 candies from the bag
Create a system of equations where the combination of the candies gives you a total of 22 points. Make sure you label and define your variables.
The system of equations where the combination of the candies gives you a total of 22 points are:
x + y = 9
2x + 3y = 22
How can we create system of equations?To create the equations, we shall first define the variables:
x = the number of purple candies
y = the number of yellow candies
Next, we shall use the given information that purple candies are worth 2 points and yellow candies are worth 3 points.
Then, we would make sure that the total number of candies selected is 9.
The first equation represents the total number of candies selected:
x + y = 9
The second equation represents the total number of points obtained:
2x + 3y = 22
Therefore, the system of equations is:
x + y = 9
2x + 3y = 22
This is a system of linear equations.
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A triangle LMN with ln = 12 cm,Nm= x cm, Nk = 6cm and Km 8cm
Calculate the value of
(i) x
(ii) o
The value of x is 9 cm, and angle O is 0 degrees.
To solve the triangle LMN and find the values of x and angle O, we can use the Law of Cosines and the Law of Sines. Let's go step by step:
(i) To find the value of x, we can use the Law of Cosines. According to the Law of Cosines, in a triangle with sides a, b, and c, and angle C opposite to side c, the following equation holds:
c^2 = a^2 + b^2 - 2ab * cos(C)
In our case, we want to find side NM (x), which is opposite to angle N. The given sides and angles are:
LN = 12 cm
NK = 6 cm
KM = 8 cm
Let's denote angle N as angle C, side LN as side a, side NK as side b, and side KM as side c.
Using the Law of Cosines, we can write the equation for side NM (x):
x^2 = 12^2 + 6^2 - 2 * 12 * 6 * cos(N)
We don't know the value of angle N yet, so we need to find it using the Law of Sines.
(ii) To find angle O, we can use the Law of Sines. According to the Law of Sines, in a triangle with sides a, b, and c, and angles A, B, and C, the following equation holds:
sin(A) / a = sin(B) / b = sin(C) / c
In our case, we know angle N and side NK, and we want to find angle O. Let's denote angle O as angle A and side KM as side b.
We can write the equation for angle O:
sin(O) / 8 = sin(N) / 6
Now, let's solve these equations step by step to find the values of x and angle O.
To find angle N, we can use the Law of Sines:
sin(N) / 12 = sin(180 - N - O) / x
Since we know that the angles in a triangle add up to 180 degrees, we can rewrite the equation:
sin(N) / 12 = sin(O) / x
Now, we can substitute the equation for sin(O) from the Law of Sines into the equation for sin(N):
sin(N) / 12 = (6 / 8) * sin(N) / x
Now, we can solve this equation for x:
x = (12 * 6) / 8 = 9 cm
So, the value of x is 9 cm.
To find angle O, we can substitute the value of x into the equation for sin(O) from the Law of Sines:
sin(O) / 8 = sin(N) / 6
sin(O) / 8 = sin(O) / 9
9 * sin(O) = 8 * sin(O)
sin(O) = 0
This implies that angle O is 0 degrees.
Therefore, the value of x is 9 cm, and angle O is 0 degrees.
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The figure for the given question is provided here :
I need to know what goes in those two boxes and why I would really appreciate it if someone help me with this question
Answer:
below
Step-by-step explanation:
the is the procedure above
Please answer this question.
Answer:
Step-by-step explanation:
\(1c-0.25c=0.75c\)
A car rental company charge $50 a day and 20 cents per mile for renting a car. Let y be the total rental charge (in dollar) for a car for one day and x be the miles driven. The equation for the relationship between x and y is y = 50 + 20x How much will a person pay who rents a car for one day and drives it 100miles
Answer:$2050.
Step-by-step explanation:
To find out how much a person will pay for renting a car for one day and driving it 100 miles using the given equation, you can substitute x = 100 into the equation y = 50 + 20x and solve for y:
y = 50 + 20x
y = 50 + 20(100)
y = 50 + 2000
y = 2050
Therefore, a person who rents a car for one day and drives it 100 miles will pay $2050.
The heaviest freshwater fish caught in region A weighs 286 lb, and the heaviest freshwater fish caught in region B
weighs 614 lb. How much does each weigh in kilograms?
A. The fish from region A weighs about _______ in kg.
(Round to the nearest whole number.)
B. The fish from region B weighs about _______ in kg.
(Round to the nearest whole number.)
Answer:
A. To convert pounds to kilograms, we need to multiply by 0.453592. Therefore, the fish from region A weighs about 130 kg (286 x 0.453592), rounded to the nearest whole number.
B. Similarly, the fish from region B weighs about 279 kg (614 x 0.453592), rounded to the nearest whole number.
Find the output, y, when the input, x, is -9.
y =
Answer:
when x=-9, y=1
Step-by-step explanation:
the graph shows when the x is at -9, the y is at 1
Jose decides to go to the local amusement park. He pays $12.50 for an admission ticket and $4.50 per ride. The total amount that Jose pays for admission and rides is $ 71. Which equation can be used to determine the total number of rides, r, that Jose went on?
Answer:
Your answer is B. 4.50r + 12.50 = 71.
a stack of cards contains six red cards numbered 1,2,3,4,5,6 and five blue cards numbered 1,2,3,4,5. let:r be the event of drawing a red card,b be the event of drawing a blue card,e be the event of drawing an even numbered card, ando be the event of drawing an odd card.drawing the blue 3 is an example of which of the following events?
Drawing the card blue 3 is an example of events b and o, or it belongs to (b∩o).
Here we are given that there is a stack of cards containing 6 red cards- 1, 2, 3, 4, 5, 6 and 5 blue cards numbered 1, 2, 3, 4, 5.
Further events are defined as follows-
r = drawing a red card
b = drawing a blue card
e = drawing an even numbered card
o = drawing an odd numbered card
Now, if card blue 3 is drawn, it'll clearly belong to b since it is blue in color.
Further, 3 is an odd number ⇒ blue 3 will also belong to event o
Thus, drawing the card blue 3 is an example of events b and o, or it belongs to (b∩o).
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Find the volume of a pyramid with a square base where the side length of the base is 16.6 and the height of the pyramid is 9.1
Answer:
835.865333
Step-by-step explanation:
16.6×16.6=275.56
275.56×9.1=2507.596
2507.596÷3=835.865333
Amy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $40 and costs an additional $0.70 per mile driven. The second plan has no initial fee but costs $0.90 per mile driven.
For what amount of driving do the two plans cost the
same?
What is the cost when the two plans cost the same?
The two plans cost the same when the amount is $200.
What are equations?A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.
Let us suppose the miles driven = x.
Given that,
The first plan has an initial fee of $40 and costs an additional $0.70 per mile driven. This is represented as:
A = 40 + 0.70x
The second plan has no initial fee but costs $0.90 per mile driven.
B = 0.90x
The two plans cost the same when A = B:
40 + 0.70x = 0.90x
40 = 0.90x - 0.70x
40 = 0.20x
x = 200
The two plans cost the same when the amount is $200.
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Lilly has a piece of string that is 36 inches long. She wants to cut it into 9 equal pieces.
How long will each piece of string be?
A 4 inches
B. 6 inches
c. 25 inches
D. 27 inches
E.45 inches
Answer: A, 4 inches.
Step-by-step explanation: 36 divided by 9 is 4.
Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.
Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.
We have:
z₁ = 7(cos(577°) + i sin(577°))
Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.
From the given information, we have:
z₂ = 21(cos(-7°) + i sin(-77°))
To find the quotient, we divide z₁ by z₂:
z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]
Substituting the given values, we have:
z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]
= (7/21) * [cos(584°) + i sin(584°)]
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.
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the GCF of each pair of monomials
24, 48m
The polygon in the diagram is a square with center P. The length from the center to the vertex is \(6\sqrt{2} in\). Find the area of the square to the nearest tenth of an inch.
A) 24.0 \(in^{2}\)
B) 72.0 \(in^{2}\)
C) 36.0 \(in^{2}\)
D) 144.0 \(in^{2}\)
The area the polygon in the diagram with, a length from the center to the vertex 6√2 in is 144.0 in².
What is polygon?Any closed curve that consists entirely of connected line segments (sides) without any intersections is known as a polygon in geometry. The three simplest polygons are pentagons, triangles with three sides, and quadrilaterals with four sides (five sides). The two types are concave and convex polygons.
Convex polygons are those without any extended sides crossing over them. Equilateral refers to a polygon with equal sides. Interior angles of equiangular shapes are equal. Every equilateral and equiangular polygon is a regular polygon (e.g., an equilateral triangle or a square).
As all sides are equal, all diagonals are equal too, and the angle of adjacent diagonals are 90° with vertical opposite angle.
Therefore,
Each side = \(\sqrt{\text {diagonal}^2+ \text {diagonal}^2}\)
Each side = \(\sqrt{(6\sqrt{2} )^2+(6\sqrt{2} )^2}\)
Each side = \(\sqrt{(36\times 2+36\times 2}\)
Each side = \(\sqrt{144}\)
Each side = 12 inch
Area = 12 × 12
= 144.0 in²
Thus, the area the polygon in the diagram with, a length from the center to the vertex 6√2 in is 144.0 in².
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I need help solving anyone?
Answer:
A, B
Step-by-step explanation:
Square both sides
5x+1=sqr7 (sqr is square root)
Isolate x
x=sqr7-1/5
Because the square root can also be negative, -sqr7 is also an answer
Hill's the length of a Hill in your neighborhood is 2000 feet the height of the hill is 750 ft what is the angle of elevation of the hill
Angle of Elevation.
Step 1: We shall identify the angle of elevation of the Hill in the diagram.
Step 2: We shall use the appropriate Trigonometrical Ratio to find the angle of elevation.
\(\sin \theta=\frac{750}{2000}\)\(\begin{gathered} \sin \theta=0.375 \\ \text{Taking the }\sin ^{-1}\text{ of both sides , we get} \\ \theta=\sin ^{-1}0.375 \\ \theta=22.024\approx22^o \end{gathered}\)Therefore, the correct answer is 22 degrees.
A solid figure is composed of a cube and a right triangular
prism. The figure and some of its dimensions are shown in
this diagram.
- 8 cm
What is the volume of the figure?
A
6 cm
B
560 cubic centimeters
704 cubic centimeters
C 728 cubic centimeters
Answer:
Option B
Step-by-step explanation:
704 cubic centimeters
Given directed line segment AB determine point X on the graph such that X partions the segment A to B in a ratio of 1:4 and given its coordinates A(5,1) and b(-5,4)
(NEED THIS ASAP!!)
Answer:
The coordinates of point X that divides the line in 1:4 are: (3,8/5)
Step-by-step explanation:
When a point divides a line with coordinates (x1,y1) and (x2,y2) in ratio m:n,
the coordinates of point are given by:
\((x,y) = (\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n})\)
Given points are:
(x1,y1) = (5,1)
(x2,y2) = (-5,4)
Putting the values in the formula
\(X(x,y) = (\frac{(1)(-5)+(4)(5)}{1+4} , \frac{(1)(4)+(4)(1)}{1+4})\\= (\frac{-5+20}{5}, \frac{4+4}{5})\\=(\frac{15}{5}, \frac{8}{5})\\=(3,\frac{8}{5})\)
Hence,
The coordinates of point X that divides the line in 1:4 are: (3,8/5)
14. Examine each of the following situations, labelled I, II, and III. Identify which
of the three cases below applies. Do not solve the problems.
I. future value of a single deposit investment
II. future value of a periodic deposit investment
III. present value of a periodic deposit investment
a. You want to save for a new car that you will buy when you graduate college
in 4 years. How much will you be able to afford if you deposit $1,000 per
quarter in an account that compounds interest at a rate of 1.14% quarterly?
b. You deposit $3,000 into an account that yields 0.92% interest compounded
semi-annually. How much will you have in the account in 5 years?
c. You want to put a $40,000 down payment on a storefront for a new
business that you plan on opening in 5 years. How much should you
deposit monthly into an account with an APR of 1.4%, compounded
monthly?
b. In this situation, you are dealing with I. future value of a single deposit investment, as you make a one-time deposit and determine its value in 5 years.
How to solvea. This scenario is an example of II. future value of a periodic deposit investment, as you are making regular quarterly deposits and calculating the future value after 4 years.
b. In this situation, you are dealing with I. future value of a single deposit investment, as you make a one-time deposit and determine its value in 5 years.
c. This case represents III. present value of a periodic deposit investment, as you are determining the amount to deposit monthly in order to reach a specific future value in 5 years.
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Which expressions are equivalent to (x^2 - 9) (x+3)
select the equivalent expressions ( 3 answers please)
A) (x+3)^2 (x-3)
B) x-3)^2 (x+3)
C) (x+3)^3
D) (x+3) (x+3) (x-3)
E) (x+3) (x-3) (x-3)
F) [(x)^2 + (3)^2} (x-3)
\(( {x}^{2} - 9)(x + 3) \\ (x + 3)(x - 3)(x + 3) \\ (x + 3)^{2} (x - 3)\)
Therefore the answer is A.
\(( {x}^{2} - {y}^{2} ) = (x + y)(x - y)\)
Here is the formula that is used for answering.
Consider the diagram
Lines AC and RS are
Coplanar
Parallel
Perpendicular
Skew
Answer:
Skew
Step-by-step explanation:
I took it on edge 2020
Line AC and RS are in different plane and they do not intersect, hence they are skew lines.
LinesA point is a location and it has no magnitude. A line is defined as something that extends infinitely in either direction. A line is the shortest distance between two points.
Skew lines are two lines that do not intersect and are not parallel. Hence the two lines do not exist in the same plane.
Line AC and RS are in different plane and they do not intersect, hence they are skew lines. They are not parallel also.
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What is the area of the trapezoid if h = 5 cm,
b. = 6 cm, and b, = 8 cm?
A. 16.5 square cm
B. 19 square cm
C. 35 square cm
D. 40 square cm
HELP ME PLS ASAP PLS PLZ PLZ
Answer:
C) 35 square cm
Step-by-step explanation:
(6+8)/2=7
7x5=35
1. Quadrilateral LBMN is the result of a 180 degree rotation of Quadrilateral ABCD around point B, write the corresponding angles and segments in the table below.
In the quadrilateral ABCD and LBNM the corresponding angles and line segments are as follow,
∠A = ∠L, ∠D =∠M , ∠C = ∠N , and
AB = LB , CD = NM , DA = ML.
Quadrilateral ABCD rotates 180 degrees around point B,
New quadrilateral formed named LBMN
The corresponding angle after rotation of 180 degrees around B is equals to,
B remain at same position.
A rotates and point L take the position of A.
D rotates and point M take the position of D.
C rotates and point N take the position of C.
Corresponding angle to A is angle L.
Corresponding angle to D is angle M.
Corresponding angle to C is angle N.
Similarly corresponding segments are of ABCD and LBNM are
Line segment AB corresponds to line segment LB.
Line segment CD corresponds to line segment NM
Line segment DA corresponds to line segment ML.
Therefore, in the quadrilateral the corresponding angles and line segments are ∠A = ∠L, ∠D =∠M , ∠C = ∠N , AB = LB , CD = NM , and DA = ML.
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What is 2448 divided by 10
Answer:
244.8
Step-by-step explanation:
If we divide a number by 10, we are moving the decimal place on value to the left.
The decimal place is currently here:
2448.000
So moving it left one gets us:
244.8000
Hope this helped!
If a student does not like ballet, what is the probability that student also does not like salsa?
like salsa hate salsa total
like ballet 32 42 74
hate ballet 22 4 26
total 54 46 100
if a student does not like ballet (there is 26 that do not like ballet)..what is the probability that the student does not like salsa..of those 26 that do not like ballet, 4 do not like salsa...
4/26 = 0.1538 = 15.38% rounds to 15.4% <=
Which shows how to find the x-coordinate of the point that will divide into a 2:3 ratio using the formula ? x = (−3−2) + 2 x = (2+3) − 3 x = (−3−2) + 2 x = (2+3) − 3
Answer:
The answer is "\(\bold{x=(\frac{2}{5}) (2+3) -3}\)"
Step-by-step explanation:
In the given question the point is missing, that's why we define the correct equation only.
Answer:
D, x = (2+3) − 3
Step-by-step explanation:
Got it right, Edge 2020
What is a formula for the nth term of the given sequence? 12, 6, 3
Answer:
I think it is dividing the numbers by 2
please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answer:
I think its C
Step-by-step explanation: