Parallelogram ABCD is dilated to form parallelogram EFGH. Side BC is proportional to side CD.
What corresponding side is proportional to segment FG?
Answers
MNO ~ XYZ Since the two triangles are written in this specific order, each side should be similar to the side in the same order on the other triangle.
MN ~ XY
NO ~ YZ
MO ~ XZ
Hope this helps!
Related Questions
What is the best approximation of the sine of 50°?
A. 0.2624
B. 0.6428
C. 0.7660
D. 1.1918
Answers
As I calculated it, sine 50 is equivalent to 0.2623748537.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Which of the following is not a way to prove a quadrilateral is a parallelogram?
Answers
The way to not prove a quadrilateral is a parallelogram is; Show one set of opposite sides of the quadrilateral is congruent.
Parallelogram and CongruenceA parallelogram is a quadrilateral which has opposite sides to be congruent and parallel as the name implies and hence, opposite angles of the parallelogram are congruent.
However, showing one set of opposite sides of the quadrilateral is congruent is not a confirmatory test for a parallelogram, as it evades the parallel law of opposite sides of the Parallelogram.
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Wendy wants $15,000 saved in 6 years to make a down payment on a house. How much money should she invest now at 4.65% compounded annually in order to meet her goal?
Answers
A=$15000, n=6 years, R=4.65
Therefore,
15000=P(1+4.65/100)^6
15000=P(1.3135)
P=15000/1.3135
=$11420 (to the nearest dollars)
What is d if p equals 15 in d=-3p^2+168p-315
Answers
so your equation will look like d=3(15)^2+168(15)-315
then you will simplify
to get d= 2025+2520-315
simplify again
to get d=4230
-3(15^2)+168(15)-315=
-3(225)+2520-315=
-675+2205=
1530
d=1530 when p=15
A vehicle travels on a highway at a rate of 65 mi/h how long does it take the vehical to travel 25 mi?
Answers
t=d/v
Substitute your variables and solve.
65 mi/hr = 65 / 3600 mi/second
25 mi / ( 65/3600) = 1384.6 seconds
Answer:
Step-by-step explanation:
A vehicle travels at a rate of 65 m/h, How long does it take the vehicle to travel at 25 miles?
Apply the "distance formula":
d = rt
25 = 65t
25/65 = t
5/13 hour = t
or
0.385 hour = t
or
23.08 minutes = t
PLEASE HELP!!
Oscar entered y=−0.4^x+3y=−0.4^x+3 into an online graphing tool.
What function did he graph?
y=(−0.4)x+3y=(−0.4)x+3
y=(−0.4)x+3y=(−0.4)x+3
y=−(0.4)x+3y=−(0.4)x+3
y=−(0.4)x+3
Answers
Among the choices provided above the function the Oscar graph is
y=(−0.4)x+3y=(−0.4)x+3
Oscar Montez’s savings account has a principal of $7,201. It earns 6% interest compounded quarterly. What is the amount of interest he earned by the end of the second quarter?
Answers
During World War I, the Germans had a gun
called Big Bertha that was used to shell Paris.
The shell had an initial speed of 2.41 km/s at
an initial inclination of 61.5 to the horizontal.
The acceleration of gravity is 9.8 m/s2 .
How far away did the shell hit?
Answer in units of km
How long was it in the air?
Answer in units of s
Answers
2.41 km/s = 2410m/s\
To solve the second part
First we have to find Vy Vy = 2410 m/s * sin 61.5 = 2410 m/s * 0.8788 =2117.908 m/s.
When the shell reaches it's maximum height the vertical velocity component will be zero
based on that theorem let's apply linear motion equation
V = u + at
0 = 2117.908 m/s - 9.8 m/S^2 * (t)
t = 216.1130 s
As the shell has to go upward and comes back to earth the shell will require a same amount of time in order to reach earth again so the total time that shell will spend on the air will be
2*t = 432.226 s
I hope my answer has come to your help. Have a nice day ahead and may God bless you always!
To find the distance the shell hit and the time it was in the air, we need to determine the total time it takes for the shell to hit the ground. The horizontal component of the shell's initial velocity remains constant, while the vertical component is affected by gravity. By solving for the time using the vertical component, we can then multiply it by the horizontal component to find the distance and convert it to kilometers.
Explanation:To find the distance that the shell hit, we need to determine the time it was in the air. We can do this by finding the total time it takes for the shell to hit the ground. The shell's initial velocity is given as 2.41 km/s at an angle of 61.5 degrees. We can break down the initial velocity into its horizontal and vertical components. The horizontal component remains constant, while the vertical component is affected by gravity. Using the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time, we can solve for the time it takes for the shell to reach the ground.
Find the horizontal component of the initial velocity using the equation horz_vel = init_vel * cos(angle).Find the vertical component of the initial velocity using the equation vert_vel = init_vel * sin(angle).Using the vertical component, solve for the time it takes for the shell to reach the ground using the equation -vert_vel = 0 + 0 * t - 0.5 * acceleration * t^2.The time calculated in step 3 will give us the total time the shell was in the air.Multiply the total time by the horizontal component of the initial velocity to get the distance that the shell hit.Convert the distance from meters to kilometers by dividing by 1000.So, the shell hit a distance of [distance] km away and was in the air for [time] s.
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is 87 a prime or composite
Answers
Answer:
Prime
Step-by-step explanation:
77 is composite
It has other factors besides 1 and itself
68 -composite
52-composite (it is even)
31 -prime
59-prime
Simplify (8j3 + 5j2 – 3) – (5j3 + 7j2 – 12j + 7) ...?
Answers
8j^3 + 5j^2 - 3 - 5j^3 - 7j^2 + 12j - 7
3j^3 - 2j^2 + 12j - 10
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:
3j^3 - 2j^2 + 12j - 10
Step-by-step explanation:
I took the test and got a 100%
A candy manufacturer makes two types of special candy, say A and B. Candy A consists of equal parts of dark chocolate and caramel and Candy B consists of two parts of dark chocolate and one part of walnut. The company has in stock 430 kilograms of caramel, 360 kilograms of dark chocolate, and 210 kilograms of walnuts. The company sells Candy A for P285 and Candy B for P260 per kilograms. How much of each candy should the manufacturer produce to maximize profit?
Answers
To maximize profit, the candy manufacturer should use mathematical linear programming. The decision variables are the amounts of Candy A (x) and Candy B (y). The profit function P = 285x + 260y is to be maximized subject to constraints arising from available stock of dark chocolate, caramel, and walnuts, leading to a typical linear programming problem.
Explanation:To solve this problem, we need to use Linear Programming, a mathematical model that helps in making optimal decisions. The candies are what we call decision variables. Our decision variables here are Candy A and Candy B.
Candy A: x kilograms (dark chocolate and caramel in equal parts).
Candy B: y kilograms (two parts of dark chocolate and one part of walnut).
We want to maximize the profit function P = 285x + 260y subject to constraints arising from the available stock of dark chocolate (DC), caramel (C), and walnuts (W).
DC constraint: A uses DC in equal parts, and B uses two parts DC. Therefore, x + 2y ≤ 360.C constraint: A uses equal parts C, x ≤ 430 (as B doesn't use C).W constraint: B uses one part W, y ≤ 210 (as A doesn't use W).
The next step is to solve these inequalities graphically or using mathematical methods to get values of x and y that maximize P while respecting constraints. This case, where we want to optimize a certain function with respect to constraints, is a typical linear programming problem in mathematics.
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The mean number of hours that Raphael worked over the past four weeks is 37.75. If he works 40 hours this week, what will the mean number of hours be that he will have worked over the five-week period?
What is the five-week mean?
Answers
37.75 x 4 = 151
Then, add 40 to that total to get the new total.
151 + 40 = 191
Now, divide that number by 5 (as in 5 weeks, the new number of parts).
191/5 = 38.2 hours
Total hours in 4 weeks / 4 = average of four weeks.
Total hours in 4 weeks = 37.75 x 4
= 151
Total hours in 5 weeks = 151 + 40
= 191
5-week mean = 191 / 5
= 38.2
If a satellite launch has a 97% chance of success, what is the probability of three consecutive successful
launches? ...?
Answers
0.97 ^ 3 = 0.91
= 91%
Answer: The required probability of three consecutive successful launches is 91.27%.
Step-by-step explanation: Given that a satellite launch has a 97% chance of success.
We are to find the probability of three consecutive successful launches.
Let P(A) denotes the probability of the event of the success of the satellite launch.
Then, according to the given information, we have
[tex]P(A)=97\%=\dfrac{97}{100}=0.97.[/tex]
Therefore, the probability of three consecutive successful launches will be
[tex]p\\\\=P(A)\times P(A)\times P(A)\\\\=0.97\times0.97\times0.97\\\\=0.912673\\\\=0.912673\times100\%\\\\=91.2673\%\\\\=91.27\%.[/tex]
Thus, the required probability of three consecutive successful launches is 91.27%.
Which of the following is a result of shifting a circle with equation (x + 3)² + (y - 2)² = 36 left 3 units?
Answers
(x + 6)^2 + (y - 2)^2 = 36
Answer:
The answer is [The x-coordinate of the center of the circle decreases by 3.]
Step-by-step explanation:
21/80 in a simplified fraction
Answers
An Antique vase is projected to be worth $1000 in 2 years and $1,300 after 5 years. If the value continues to appreciate at the same rate, what will it be worth in 8 years?
Answers
The value of the antique vase after 8 years with a consistent appreciation rate, it would amount to $1,600.
An antique vase:
Value after 2 years: $1,000
Value after 5 years: $1,300
To find the value after 8 years, we can assume a constant rate of appreciation:
In 8 years, the value will be: $1,000 + ($1,300 - $1,000) = $1,300 + ($1,300 - $1,000) = $1,600
What is the solution to the equation?
5(8 + 7) = 5 • x + 5 • 7
A.
x = 1
B.
x = 5
C.
x = 7
D.
x = 8
Answers
Wally bakes muffins. in each batch of 12 muffins, he bakes 8 bluberry muffins write in simplest form the fraction of muffins that are not blue berry
Answers
Answer:
probably 4/12 = 1/3 muffins are not blueberry
Step-by-step explanation:
Solve for x. Enter your answer in interval notation using grouping symbols.
x^2+4x<45 ...?
Answers
-9,5
A truck carried 3 1/3 ton of sand, but lost 1/4 ton of sand along the way. how many tons of sand were survived
Answers
3 1/3=3.3+1/3=10/3
10/3-1/4
10.4/3.4-3.1/4.3
40/12-3/12
37/12
3 1/12
A surveyor, standing 100 ft. from the base of a building, measures the angle of elevation to the top of the building to be 75 degrees. How accurately must the angle be measured for the percentage error in estimating the height of the building to be less than 4%?
Answers
= 373.205 Ft
dH/da = 100sec^2(a)
Fractional change in height = dH/H = 0.04
0.04 = 100 sec^2 a da/H
da = 0.04 H / 100 sec^2a
da = 0.01
Hope this helps
Which of the following statements is true?
A.A radius is always a chord.
B.A tangent is always a secant.
C.A diameter is always a chord.
D.A chord is always a diameter.
Please help
Answers
B is also false. Secant goes through circle while tangent only touches it in one point.
C is correct. Chord connects as said before 2 points on circle and in some cases it can connect 2 points in such way that it goes through center which is diameter.
D is not correct because chord doesnt have to pass trought center of circle in order to connect any 2 points on circle.
A furniture company misprinted a sales ad for a living room set but honors the advertised price. For each customer who purchases the living room set, the company suffers a loss of $125. Write a function to represent the company's total loss. What is the value of the function for an input of 50, and what does it represent? ...?
Answers
So,
f (x) = 125x
To get how much money the company loses, we can make x equal to 50.
f (50) = 125(50) = 6250
The company loses $6,250 when 50 customers purchase the furniture.
In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B′. What is the scale factor of the dilation?
1
2
0.5
-0.5
Answers
Answer:
The diameter of B is from -2 to 2, which = 4 units.
The diameter of B' is from -1 to 1, which equals 2 units.
2/4 = 1/2 = 0.5 scale factor.
The answer is C. 0.5
Step-by-step explanation:
Miss fernandez built two rectangular gardens the length of garden a is 2 feet longer than twice its width the list of garden b is 1 foot less than the width of garden a the length of garden b is 2.5 times its width the two gardens have the same perimeter what are the dimensions of the gardens
Answers
For garden B, let width = x, length = y
So we are given the following:
L = 2+2w
x = w - 1
y = 2.5x
2w+2L = 2x+2y ------> w+L = x+y
Ok lets do some substituting into the perimeter equation
[tex]w + (2+2w) = (w-1) + 2.5(w-1)[/tex]
adding like terms...
0.5w = 5.5
w = 11
This means that:
L = 2+2(11) = 24
x = 11-1 = 10
y = 2.5x = 2.5(10) = 25
Final solution:
Garden A is 11 by 24
Garden B is 10 by 25
solve for X. y=1/4 (x)+3
Answers
____________________
x = 4y - 12 ; (Assuming the problem meant to solve for "x"; "in terms of "y").
_______________________
{Otherwise, the question might be "incomplete".}.
______________________________________________
The question seems incomplete; how can we solve for "x" when we do not know what "y" equals?
__________________________
However, it could be possible to "solve for x" in terms of "y". To so this, we need to isolate ""x" on one side of the equation:
_______________________________
Given: y=1/4 (x) + 3 ; Let us multiply the ENTIRE EQUATION (both sides) by "4", to get rid of the "1/4" (fraction coefficent) of "x", and to "cancel out" the "1/4" fraction cofficient of "x" to the implied "1"; to help solve for "x" :
________________________________________
4 *{ y= 1/4 (x) + 3} ;
______________________
4y = x + 12 ; Now we can subtract "12" from EACH SIDE of the equation; to isolate "x" on one side of the equation; and to solve for "x":
_______________________
4y - 12 = x + 12 - 12 ;
________________________
4y - 12 = x ; This is our answer:
___________________________
x = 4y - 12 ; (Assuming the problem meant to solve for "x"; "in terms of "y").
Mr. Shaw graphs the function f(x) = –5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope form of the equation of the line he graphed?
a.) y – 12 = –5(x + 2)
b.) y – 12 = 2(x + 2)
c.) y + 12 = 2(x – 2)
d.) y + 12 = –5(x – 2)
Answers
y-y1=m(x-x1)
where x1 and y1 are coordinates of the given point.
in f(x) = -5x + 2 we can see that slope is -5
m = -5
if we exchange all of this in point slope formula we get:
y - 12 = -5(x - (-2)) = -5(x+2
Answer is a)
What times what equals 80.73
Answers
Kurt johnson delivers packages for a delivery company. he receives $7.50 for every package delivered. what does kurt earn in a week if he delivers 48 packages? 360.00 405.00 555.00 640.00
Answers
48 packages.....so x = 48
y = 7.50(48)
y = 360.....so if he delivers 48 packages, he earns $ 360
Answer:
He earned $ 360.00.
Step-by-step explanation:
Given,
The amount he gets for a package of delivery = $ 7.50
The number of packages he delivered in a week = 48,
Hence, the amount he earned in the week = The amount he gets for a package of delivery × The number of packages he delivered
= 7.50 × 48
= $ 360.00
Find the missing length. The triangle in each pair are similar.
Answers
B/c 27/45=.6
.6*65=39
Answer:
39 UNIT
Step-by-step explanation:
According to similar triangle.
Let's call NG "X"
45/27 = 65/x
X=( 65*27)/45
X= 1755/45
X = 39