WXYZ~EFGD.13WXYZ26EFGDWhat is the similarity ratio of WXYZ to EFGD?Simplify your answer and write it as a proper fraction, improper fraction, or whole number
Answers
STEP - BY - STEP SOLUTION
What to find?
The similarity ratio of WXYZ to EFGD.
Given:
The ratio of WXYZ to EFGD can be determine by taking the ratio of any of the simila side of WXYZ to EFGD.
That is;
[tex]Similarity\text{ ratio=}\frac{WZ}{ED}[/tex]Since EFGD is a rectangle, using the property of the rectangle that state " opposite sides are congruent, we can deduce that ED = EG = 6
Hence,
[tex]similarity\text{ ratio=}\frac{WZ}{ED}=\frac{3}{6}=\frac{1}{2}[/tex]ANSWER
1/2
Related Questions
Express the following quotient in simplest form without the use of negative exponents
Answers
Given:
[tex]\frac{5x^2y^{11}}{2}\frac{.}{.}\frac{x^4y^6}{6}[/tex]We first need to change the divion to multiplication by inverting the term that comes after the division sign.
That is;
[tex]\frac{5x^2y^{11}}{2}\times\frac{6}{x^4y^6}[/tex]Apply the laws of indices;
[tex]\frac{6\times5x^2y^{11}x^{-4}y^-^6}{2}[/tex][tex]=3\times5x^{2-4}y^{11-6}[/tex][tex]=15x^{-2}y^5[/tex][tex]=\frac{15y^5}{x^2}[/tex]The owner of Rockport Florist is assembling flower arrangements for Valentine's Day. This morning, she assembled 11 small arrangements and 1 large arrangement, which took her a total of 62 minutes. After lunch, she arranged 12 small arrangements and 1 large arrangement, which took 67 minutes. How long does it take to assemble each type?
Answers
To solve this, we need to write a system of equations.
We know that it took her 62 minutes to assemble 11 small and 1 large.
Let's call the small arrangements S, and the large L.
Then:
[tex]11S+L=62[/tex]After lunch, she did 12 small and 1 large in 67 minutes. Then:
[tex]12S+L=67[/tex]Now we have the system of equations:
[tex]\begin{cases}11S+L=62 \\ 12S+L=67\end{cases}[/tex]To solve by elimination, we need to eliminate one unknown by adding or substracting the two equations. If we rest the first equation to the second equation:
[tex](12S+L)-(11S+L)=67-62[/tex]Now we can solve:
[tex]\begin{gathered} 12S-11S+L-L=65-62 \\ S=5 \end{gathered}[/tex]To make a small arrangement takes her 5 minutes. Now we can go back to the first equation and replace S = 5:
[tex]\begin{cases}11S+L=62 \\ S=5\end{cases}\Rightarrow11\cdot5+L=62[/tex]And solve for L:
[tex]\begin{gathered} 55+L=62 \\ L=62-55 \\ L=7 \end{gathered}[/tex]Then it takes her 7 minutes to make a large arrangement.
4. Maliyah has 3 54 cups of dough for baking bread. Each loaf of bread requires96 of a cup of dough. What is the exact number of loaves that Maliyah canmake from the dough?
Answers
Write 3 3/4 as a fraction:
[tex]3\frac{3}{4}=3+\frac{3}{4}=\frac{12}{4}+\frac{3}{4}=\frac{15}{4}[/tex]Use conversion factor to find the exact number of loaves that Maliyah can make with 3 3/4 (15/4) cups of dough.
1 loaf requires 1/6 of cup of dough.
[tex]\frac{15}{4}\text{cups}\cdot\frac{1\text{loaf}}{\frac{1}{6}\text{cup}}=\frac{15}{4}\text{cups}\cdot6\frac{\text{loaf}}{\text{cup}}=\frac{90}{4}\text{loaves}=\frac{45}{2}\text{loaves}[/tex]You can write the answer as a mixed number:
[tex]\frac{45}{2}=\frac{44}{2}+\frac{1}{2}=22\frac{1}{2}[/tex]Then, with 3 3/4 cups of dough Maliyah can make 22 1/2 (45/2) loaves of bread.
Dara's kite is flying 67 feet high. Jill's is flying 40 feet high. What is the difference between the heights of these two kites?
Answers
The difference between the heights of two kites is 27 feet.
What is height difference?
Given that length and height refer to a shape's length and height, respectively, respectively, there is a very clear distinction between the two. In a plane, length is the measure that is horizontal, whereas height is the measure that is vertical. Length, breadth, and height are crucial geometrical dimensions used to describe shapes.
A person's inherited genetic makeup accounts for about 80% of the normal variation in height, with the remaining 20% of the height difference coming from environmental factors like diet and upbringing.
Let, Dara's kite is flying 67 feet high. Jill's is flying 40 feet high.
So, the difference between the height of two kites is,
67 feet - 40 feet = 27 feet.
Hence, the difference between heights of kites is, 27 feet.
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Question is shown in image below. Thank you in advance for your time today.
Answers
Alloy #13 contains 7% gold, if means that if we need 2.7kg of this alloy, we will have to use a certain amount of gold. Multiply the percent of gold times the mass of alloy to find how much gold we need:
[tex]2.7kg\cdot7\%=0.189kg[/tex]It means that we need 0.189kg of gold.
The alloy we have contains 21% of gold. That means that for every 100kg of alloy there are 21kg of gold, use this ratio to find the mass of alloy we need:
[tex]0.189kgGold\cdot\frac{100kgAlloy}{21kgGold}=0.9kgAlloy[/tex]It means that we need 0.9kg of that alloy.
To find how much magic steel we need, we just have to substract this mass from the mass of Alloy #13:
[tex]2.7kg-0.9kg=1.8kg[/tex]It means that we need 1.8kg of magic steel.
The answer is: The dwarves need 1.8 kg of magic steel and 0.9 kg of their alloy in order to get 2.7 kg of Dragon Alloy #13.
Matthew drives 54 miles per hour. Benjamin drives 47 miles per hour. They started at the same spot, and drove in opposite directions. Aftersome time, they were 1272.6 miles apart. How much time has passed?After _____ hours, Matthew and Benjamin were 1272.6 miles apart.
Answers
Solution:
Matthew and Benjamin start from the same spot and drives in opposite directions.
Given:
[tex]\begin{gathered} \text{Matthew's sp}eed=54mph \\ \text{Benjamin's sp}eed=47mph \\ \text{Distance apart after time (t)=1272.6miles} \end{gathered}[/tex]The formula for speed is given by;
[tex]\begin{gathered} \text{Speed}=\frac{dis\tan ce}{\text{time}} \\ \text{Hence, } \\ \text{distance}=\text{speed}\times time \end{gathered}[/tex]During the journey, they used the same time but moved at different speeds, hence, they will have different distances.
Let the time both used be represented by t
Let Matthew's distance be represented by m
Let Benjamin's distance be represented by b
Thus,
Matthew's distance is calculated below;
[tex]\begin{gathered} \text{distance}=\text{speed}\times time \\ m=54\times t \\ m=54t \end{gathered}[/tex]Benjamin's distance is calculated below;
[tex]\begin{gathered} \text{distance}=\text{speed}\times time \\ b=47\times t \\ b=47t \end{gathered}[/tex]The distance covered by the two of them in opposite directions is their distance apart from the starting point.
Hence,
[tex]m+b=1272.6[/tex][tex]\begin{gathered} 57t+47t=1272.6 \\ 101t=1272.6 \\ \text{Dividing both sides by 101 to get the time t,} \\ t=\frac{1272.6}{101} \\ t=12.6\text{hrs} \end{gathered}[/tex]Therefore, after 12.6hours, Matthew and Benjamin were 1272.6 miles apart.
A line passes through points at (9,5) and (4,3). What is the slope of the line perpendicular to this line?
Answers
Answer:
[tex]-5/2[/tex]
Step-by-step explanation:
The slope of the line through the given points is [tex]\frac{5-3}{9-4}=\frac{2}{5}[/tex].
Perpendicular lines have slopes that are negative reciprocals of each other, so the answer is [tex]-5/2[/tex].
Answer:
perpendicular slope = - [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
calculate the slope m of the line using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (9, 5 ) and (x₂, y₂ ) = (4, 3 )
m = [tex]\frac{3-5}{4-9}[/tex] = [tex]\frac{-2}{-5}[/tex] = [tex]\frac{2}{5}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{5} }[/tex] = - [tex]\frac{5}{2}[/tex]
please help!! will mark brainliest!!
i need questions 26,27, and 28. thanks!
Answers
27.) 19 + 31 + 15 = 65
28.) 46 + 61 + 28 = 135. 180 - 135 = 45
(0,4) and (x,7); m=3/2
Answers
Step-by-step explanation:
I guess you are trying to find x value
slope equation:
slope, m = (y2-y1)/(x2-x1)
3/2 = (7-4)/(x-0)
3/2=3/x
1.5 = 3/x
1.5x = 3
x = 3/ 1.5
x = 2
as many. How many successful free throws did Priya make today?
free throws
vitamin C (mg)
25%
0
50%
0
75%
2.
A 16-ounce bottle of orange juice says it contains 200 milligrams of vitamin C,
which is 250% of the daily recommended allowance of vitamin C for adults. What is
100% of the daily recommended allowance of vitamin C for adults?
10000
100%
1500
125%
150%
20006
25006
Answers
Answer:
A 16-ounce bottle of orange juice says it contains 200 milligrams of vitamin C, which is 250% of the daily recommended allowance of vitamin C for adults. What is 100% of the daily recommended allowance of vitamin C for adults?
The terminal side of an angle What is the cot
Answers
Using the unit circle:
[tex]\begin{gathered} cot\theta=\frac{x}{y} \\ \\ cot\theta=\text{ }\frac{\frac{33}{65}}{\frac{56}{65}} \\ \\ cot\theta=\text{ }\frac{33}{56} \\ \end{gathered}[/tex]can you please completely factor [tex]11 {x}^{2} + 24x + 1320[/tex]
Answers
2102 subscript 3 + 1001 subscript 3
Answers
Answer:
[tex]10110_3[/tex]Explanation:
Given the sum:
[tex]2102_3+1001_3[/tex]The sum (in base 3) is evaluated below:
The answer is 10110 (in base 3).
Type the missing number to complete the proportion. 86 chairs in 2 rows = chairs in 1 row Submit
Answers
hello
from the question given, we have
[tex]\begin{gathered} 86\text{chairs}=2\text{rows} \\ x\text{ chairs= 1 row} \end{gathered}[/tex]cross multiply both sides
[tex]\begin{gathered} 86\text{chairs}=2\text{rows} \\ x=1 \\ 2\times x=86\times1 \\ 2x=86 \\ \end{gathered}[/tex]divide both sides by 2
[tex]\begin{gathered} \frac{2x}{2}=\frac{86}{2} \\ x=43 \end{gathered}[/tex]from the calculation above, we have 43 chairs in 1 row
is shape A congruent to shape 82BA
Answers
Solution
For this case the answer would be:
yes
And the reason is because we have the same shape and with the smae structure so then are congruent
What equation represents the line that passes through the point (4, -5) and is perpendicular to the line x + 2y = 5?
Answers
The line that passes through the point (4, -5) and is perpendicular to the line x + 2y = 5? is y = 2x - 13.
Calculation:-
The equation of a line is y = mx + c, m is the gradient and c is the intercept
The line passes through points 4 and -5, x is 4 and y is -5
-5 = 4m + c
When two lines are perpendicular, the products of their gradients are equal to -1, m1 * m2 = -1
x + 2y = 5
2y = -x + 5
y = (-1/2 * x) + 5
therefore m = -1/2
m1 * m2 = -1
m * -1/2 = -1
-m = -2 , therefore m = 2
-5 = 4 * 2 + c
c = -5 - 8, which is -13
Therefore the equation for the line is y = 2x - 13.
To determine if a point is on a line you can simply substitute the x and y coordinates into the equation. Another way to solve the problem would be to graph the line and see if it falls on the line. Plugging in will give which is a true statement, so it is on the line. Only one line can pass through a single point. False because we can draw an infinite number of lines through a given point as shown below.
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X
-1
0
1
3
Y
10
7
4
-2
find the slope and y-intercept
m =
b =
Answers
Slope of the line is - 3 and y-intercept is 6
Slope - intercept form of line is y = mx + b where m is slope of the line and b is intercept on y-axis
taking any two points from the table
A(-1 ,10) , B(0,7)
calculating slope by y₂-y₁/x₂-x₁
putting x₁ = -1 , x₂ = 10 and y₁ =0 , y₂=7
m = 7-10 / 0 + 1 = -3/1
m = -3
equation of line will be y = -3x + b
calculating intercept b by putting one point in equation of line
10 = -3(-1) + b
10 = 4 + b
b = 6
substituting value of b in the equation
y = -3x + 6 is our equation of line
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How do I find the feet in a 9 inch board
Answers
Answer:
3/4 of a foot.
Step-by-step explanation:
In order to find how many feet are in 9 inches, we simply divide 9 by 12. We use the number 12, because that is how many inches are in a foot. 9 divided by 12 = 0.75 or 3/4 of a foot.
May I have Brainliest please? I am so close to getting my next ranking! I just need 3 more for it! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
A rectangular ground is 30 1/4 m long and 20 1/2 m broad. Find the perimeter and area of the ground.
Answers
The perimeter and the area of the ground are 101.5 m and 620.125 m², respectively.
We have a ground. The shape of the ground is a rectangle. The length and breadth of the rectangular ground are 30.25 m and 20.5 m, respectively. We need to find the perimeter and the area of the rectangular ground.
Let the perimeter and the area of the ground be denoted by the variables "P" and "A", respectively. The formulas for the perimeter and area of a rectangle are used below.
P = 2×(L + B)
P = 2×(30.25 + 20.5)
P = 2×50.75
P = 101.5
Hence, the perimeter of the rectangular ground is 101.5 meters.
A = L×B
A = 30.25×20.5
A = 620.125
Hence, the area of the rectangular ground is 620.125 square meters.
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Tutorials 2 2.1 An unbiased die and a fair coin are tossed once. What is the probability of having a (a) prime number and a head? a (b) An even number and a head? (c) A score less than 3 and a tail?
Answers
Answer: The probablity of two indipendant events occuring at the same time is the producht of the two independant events, therefore the solution is as follows:
(a) Prime number and a head"
Step 3: determine if point c represents a solution
Answers
Point C (7 , 52.5) represents a solution of the equation of line y =7.5x
A point is a solution of the equation if and only if it satisfy the line equation.
To check point C is solution o it should satisfy the equation of line y = 7.5x
In point C , x = 7 and y = 52.5
putting x in equation of line and solving for y ,
y = 7.5(7)
y = 52.5
which is true so ,
The coordinates (7 , 52.5) make the equation true
so , (7,52.5) is a solution of y = 7.5x
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On a coordinate plane, PQ is translated 3 units up and 3 units to the right to create P'Q'. Line p is drawn through P and P', and Line q is drawn through Q and Q'. Which
statement about Lines p and q is true?
O Lines p and q are parallel.
O Lines p and q are perpendicular.
O Lines p and a have the same x-intercept.
Lines p and a have the same y-intercept.
Answers
The correct statement about line p and q is, Lines p and q are parallel.
What is translation of graph?
Any movement of the graph either horizontally or vertically parallel to the -axis is referred to as a translation.
In mathematics, a translation is the movement of a shape left, right, up, or down. The translated shapes are identical to the original ones in size, indicating that they are congruent. They simply changed positions in one or more directions. The shape is unchanged because it is simply being transferred from one location to another.
Let, On a coordinate plane, PQ is translated 3 units up and 3 units to the right to create P'Q'. Line p is drawn through P and P', and Line q is drawn through Q and Q'.
There is no change in the shape or size of p and q.
Hence, lines p and q are parallel.
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(I need this as an actual equation and solution not just which one it is.. also any people just trying to get credits will result in a report.) The temperature of a cooling liquid is given by the function T(m) = 38 (0.82)" +21, where T represents the temperature in degrees Celsius and m represents the number of minutes, m≥0, that the liquid has been cooling. Which of the following represents a temperature that the liquid does not reach as it cools down?
(1) 53
(2) 16
(3) 41
(4) 28
Answers
Answer:
(2) 16°C
Step-by-step explanation:
[tex]T(m)=38(0.82)^m+21[/tex]
Find the temperature at the outset ([tex]m=0[/tex]):
[tex]T(0)=38(0.82)^0+21[/tex]
[tex]T(0)=38(1)+21[/tex]
[tex]T(0)=38+21[/tex]
[tex]T(0)=59[/tex]
Since the liquid is cooling, all temperatures equal to or less than 59°C are valid possibilities. However, over time (represented as [tex]m\rightarrow\infty[/tex]), [tex](0.82)^m[/tex] is reduced towards zero and, as such, [tex]38(0.82)^m[/tex] will be reduced towards zero. All that will remain is [tex]T(m)=21[/tex], which makes it the horizontal asymptote. This is shown in the attached graph.
Therefore, since 16°C falls below the asymptote, it does not represent a temperature that the liquid reaches as it cools down.
-12 = 12y^97
Solve for y.
Answers
Answer:
y = -1
Step-by-step explanation:
You want the solution to -12 = 12y^97.
SolutionThe one real solution is can be found by ...
-1 = y^97 . . . . divide by 12
y = (-1)^(1/97) = -1
The value of y is -1.
__
Additional comment
There are 96 complex solutions to this equation as well.
They are y = cos(nπ/97) +i·sin(nπ/97) . . . . for integer n = 0 .. 96.
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$100 for 4 tickets. what is the cost per one ticket? Plsss help me
Answers
Answer:25. Do better bro that’s sad
Step-by-step explanation:
Answer:
One ticket is 25 dollars
Step-by-step explanation:
Let T be tickets
$100 = 4T
[tex]\frac{100}{4} = \frac{4}{4}T[/tex]
$25 = T
Therefore, one ticket is equal to 25 dollars
This relation is a function:{(5,-2), (6,-2),(7,-2), (8,-2)}A.TrueB.False
Answers
pls tell the answer pls plsplsplsplsplspls
Answers
a) 20 people travel more than 30 miles to work.
b) Sam travels 20 miles .
Given,
In the question:
From the graph:
The histogram shows information about how 550 people travel to work.
To find the how many people travel more than 30 miles to work?
Now, According to the question:
Observe the Graph :
a) How many people travel more than 30 miles to work
5 x 4 = 20 people
b) 205 of the 550 people travel further than Sam . Estimate how far Sam travel?
Now, According to the question:
205 of the 550 people travel further than Sam,
Sam travels 20 miles .
Hence, a) 20 people travel more than 30 miles to work.
b) Sam travels 20 miles .
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Can someone pleaseeee help me with this pleasee! I appreciate if u do!! thank you!!
The and following system was solved by substitution, but there is a mistake in the
process. Identify which step contains the mistake, and explain how to fix it.
28) -5x-y=23
3x-y=-17 Use subtraction
Step 1: 2x + 5(x + 7) = 21
Step 2: 2x + 5x + 7 = 21
Step 3: 7x + 7 = 21
Step 4: 7x = 14
Step 5: x =2
Step 6: y=2+7
Answers
The values of x and y are -5 and 2 respectively
What is Substitution Method to Solve Linear Equation in Two Variables?
The substitution technique is one of the algebraic methods for solving a system of linear equations in two variables. In this procedure, we get the value of any variable by isolating it on one side of the equation and taking every other term on the other side.
Solution:
The problem is in the step one,
Given: -5x - y = 23
3x - y = -17
You've done the question using substraction method while it waas asked to solve by substitution method.
from equation 1 we can write -y = 23 + 5x
substituting -y in equation 2
3x + 23 + 5x = -17
8x = -40
this implies x = -5 and thus, y = 2
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Used the given information to determine the probability below round solution with 3 decimal places
Answers
The conditional probability formula is
[tex]P(B|A)=\frac{P(B\cap A)}{P(A)}[/tex]which gives
[tex]P(B\cap A)=P(A)\times P(B|A)[/tex]Then, for the first question, we get
[tex]\begin{gathered} P(A\cap B)=P(B\cap A)=P(A)\times P(B|A) \\ P(A\cap B)=0.46\times0.05 \end{gathered}[/tex]which gives
[tex]P(A\cap B)=0.023[/tex]Now, for the second question, we know that, for independent events
[tex]P(A\cap B)=P(A)\times P(B)[/tex]then, we have
[tex]P(A\cap B)=0.46\times0.28[/tex]which gives
[tex]P(A\cap B)=0.129[/tex]Now, for question 3, we know that, when the events are dependent and mutually non-exclusive
[tex]\begin{gathered} P(A\cup B)=P(A)+P(B)-P(A\cap B) \\ P(A\cup B)=P(A)+P(B)-P(A)\times P(B|A) \end{gathered}[/tex]By substituting the given values, we have
[tex]\begin{gathered} P(A\cup B)=0.46+0.28-(0.46\times0.05) \\ P(A\cup B)=0.74+0.023 \\ P(A\cup B)=0.763 \end{gathered}[/tex]Finally, for the 4th question, we have
[tex]P(A\cup B)=P(A)+P(B)[/tex]which gives
[tex]\begin{gathered} P(A\cap B)=0.46+0.28 \\ P(A\cap B)=0.74 \end{gathered}[/tex]In summary, the solutions are:
Question 1:
[tex]P(A\cap B)=0.46\times0.05=0.023[/tex]Question 2:
[tex]P(A\cap B)=0.46\times0.28=0.129[/tex]Question 3:
[tex]P(A\cup B)=0.46+0.28-(0.46\times0.05)=0.763[/tex]Question 4:
[tex]P(A\cap B)=0.46+0.28=0.74[/tex]The answer is given but I dont understand. Please explain #7
Answers
SOLUTION:
Case: Rectilinear acceleration
Answer:
Acceleration on a straight line is defined as the rate of change of velocity during motion on the straight line.