Answers
Answer: The answer is the last figure, figure (D). Attached the image.
Step-by-step explanation: We are given four pairs of polygons and we are to select the pair in which the two polygons are not similar.
In the first pair of polygons, the ratio of the corresponding sides will be same as follows:
[tex]\dfrac{2}{\frac{2}{3}}=\dfrac{4}{\frac{4}{3}}=3.[/tex]
So, the polygons are similar.
In the second pair of polygons, the ratio of the corresponding sides will be same as follows:
[tex]\dfrac{2.82}{1.41}=\dfrac{2.24}{1.12}=\dfrac{3}{1.5}=2.[/tex]
So, the polygons are similar.
In the third pair of polygons, the ratio of the corresponding sides will be same as follows:
[tex]\dfrac{1.41}{1.41}=\dfrac{1.12}{1.12}=\dfrac{1.5}{1.5}=1.[/tex]
So, the polygons are similar.
In the fourth pair of polygons, we have
[tex]\dfrac{12}{\frac{4}{3}}=12\times\dfrac{3}{4}=9,[/tex]
and
[tex]\dfrac{4}{\frac{2}{3}}=4\times\dfrac{3}{2}=6\neq 9.[/tex]
So, the polygons are not similar in this case.
Thus, the last figure, attached herewith, is the correct option.
All of the figures are pair of similar polygons
What are similar shapes?Similar shapes have the same shape but may differ in size.
Their corresponding angles are equal, and their corresponding sides are in proportion.
This property allows for resizing through a constant scale factor while maintaining identical angles.
We can test of the polygons are similar by checking the ratio of their corresponding sides are equal.
Fig 1 = 2/2/3 = 3
4/4/3 = 3
therefore the pair of polygons in fig1 are similar.
fig 2 = 3/1.5 = 2
2.82/1.41 = 2
therefore fig2 is a pair of similar polygons.
Therefore, all of the figures are pair of similar polygons
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Related Questions
The length of Leland’s garden is 15m 24cm.the length of his friend garden is 2m 98cm more than Leland’s . What is the length of his friend garden ?
Answers
24cm+98cm=122cm or 1m 22cm
15m+2m=17m plus the 1m 22cm for a total of 18m 22cm
His friend's garden is 18.22 meters long.
R (Read):
Leeland's garden is 15 meters and 24 centimeters long.
His friend's garden is 2 meters and 98 centimeters longer than Leeland's.
We need to find the length of his friend's garden.
D (Define):
Let L be the length of Leeland's garden in meters.
Let F be the length of his friend's garden in meters.
W (Write):
We can write the given information as equations:
L = 15.24 meters (converting 24 cm to meters)
F = L + 2.98 meters
Solve:
Substitute equation 1 into equation 2:
F = (15.24 meters) + 2.98 meters
F = 18.22 meters
a stores plans to mark down all backpacks by 40%. James wants to purchase a backpack that is currently priced for 55 Dollar. How much will james save if he buys the backpack after the marks it down? A) $22 B)$33 C) 2145 D) 2200
Answers
Compare the square root of 7 and 2.1
Answers
the altitude to the hypotenuse of a right triangle is the geometric mean between the segments on the hypotenuse
A. always
B.sometimes
C. never
Answers
Option: A is the correct answer.
A. always
Step-by-step explanation:Right Triangle Altitude Theorem--
It states that when an altitude is drawn from the the vertex containing the right angle to the opposite side i.e. hypotenuse then the length of the altitude is the geometric means between the segments on the hypotenuse.
i.e. if we consider a right angled triangle ΔCAB with right angle at A.
Then if a altitude AD is drawn from vertex A then we have:
[tex]AD=\sqrt{CD\cdot DB}[/tex]
20 POINTS WILL MARK AS BRAINLIEST AND SAY THANKS In 2000, the cost of many items increased because the increase in the cost of gas. In Chicago, a gallon of self-serve regular gasoline cost $1.76 in May and $2.13 in June. Write an equation that could be used to determine the cost of gasoline during any month in 2000. (Hint: use 1 to represent January.)
A) y = .37x + 5
B) y = .37x + 1.76
C) y = .37x + 2.13
D) y = .37x - .09
Answers
y = a + b*x
where
x = months, counted from January
y = cost, dollars
The given data in the table is
Month: Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
x, months: 1 2 3 4 5 6 7 8 9 10 11 12
y, dollars: --- --- --- --- 1.76 2.13 --- --- --- --- --- ---
When x = 5, y = 1.76.
Therefore
a + 5b = 1.76 (1)
When x = 6, y = 2.13
Therefore
a + 6b = 2.13 (2)
Subtract equation (1) from (2).
a + 6b - (a + 5b) = 2.13 - 1.76
b = 0.37
From (1), obtain
a = 1.76 - 5b
= 1.76 - 5*0.37
= -0.09
The required equation is
y = 0.37x - 0.09
The graph shows the line, with the given data for May and June.
Answer: D. y = 0.37x - 0.09
Please Help me!!!!!! Simplify the expression AND show your work:
sqrt(4x^2/3y)
Answers
Change the 4x^2 to (2x)^2
sqrt((2x)^2/3y)
= 2x sqrt(1/(3y))
Do you want me to simplify it any more?
For the given expression, the simplified form is [tex]\frac{2x\sqrt{3y} }{3y}[/tex]
From the question, we are to simplify the expression sqrt(4x^2/3y).
The expression is [tex]\sqrt{\frac{4x^{2} }{3y} }[/tex]
We can write that,
[tex]\sqrt{\frac{4x^{2} }{3y} } = \frac{\sqrt{4x^{2}}}{\sqrt{3y}}[/tex]
Then,
[tex]\frac{\sqrt{4x^{2}}}{\sqrt{3y}} = \frac{2x}{\sqrt{3y} }[/tex]
To simplify further, we can rationalize the denominator
We get
[tex]\frac{2x}{\sqrt{3y} } = \frac{2x}{\sqrt{3y} } \times \frac{\sqrt{3y} }{\sqrt{3y} }[/tex]
Then,
[tex]\frac{2x}{\sqrt{3y} } \times \frac{\sqrt{3y} }{\sqrt{3y} } = \frac{2x\sqrt{3y} }{3y}[/tex]
Hence, for the given expression, the simplified form is [tex]\frac{2x\sqrt{3y} }{3y}[/tex]
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How to algebraically find the inverse of a function?
Answers
then isolate the equation to solve for y
The inverse function of y = 3x + 2 is y = ( -x + 2 )/3 obtained by switchig the places of x and y.
What is a function?A function can be thought of as an output for the given set of inputs.
To find the inverse of a function algebraically first we have determine whether the given function is one-to-one or not. A one-to-one function is a function in which each different value of the domain corresponds to a different value in the range of the function.
Suppose we have a function f(x) = 3x + 2 which can be written as y = 3x + 2.
Now to obtain the inverse of this function we have to switch x and y in their respective places and solve for y.
∴ y = 3x + 2
x = 3y + 2.
3y = - x + 2.
y = ( -x + 2 )/3.
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What is the solution to -5m = -40? m = -8 m = 200 m = -200 m = 8
Answers
m = -40 / -5
m = 8
answer
m = 8
∠C and ∠D are vertical angles with m∠C=−2x+90 and m∠D=x−30 .
What is m∠D?
Answers
Enter the equation: 3 less than 1/2 a number is -71.
Answers
c = 0.20m+2.00 what is the charge for 2.7 mile ride?
Answers
m = 2.7 is plugged into the equation to get
C = 0.20*m + 2.00
C = 0.20*2.7 + 2.00
C = 0.54 + 2.00
C = 2.54
The cost is $2.54
Saidhari bought a toaster oven for $60. this price was 1/4 The list price. What is the list price
Answers
solve the equation w/4=32
Answers
Hope this helps! ☺♥
Loretta and her family are going on vacation. Their destination is 610 miles from their home. Loretta is going to share some of the driving with her dad. Her average speed while driving is 55 mph and her dad's average speed while driving is 65 mph. The plan is for Loretta to drive for this first 4 hours of the trip and her dad to drive for the remainder of the trip
Answers
Average driving speed = 55 mph
Time = 4 hours
Distance traveled = 55*4 = 220 miles
Dad:
Average driving speed = 65 mph
Let x = hours driven
Distance traveled = 65x miles
The length of the trip is 610 miles, therefore
65x + 220 = 610
65x = 390
x = 6 hours
Answer: Loretta's dad drove for 6 hours.
Final answer:
To determine how long Loretta's father drives, we deduct the distance Loretta drives (220 miles) from the total trip distance, then divide the remainder (390 miles) by her father's average speed (65 mph), resulting in 6 hours of driving time for her father. The total trip time is 10 hours.
Explanation:
The question is about calculating travel times and distances using average speed. Loretta and her family are traveling 610 miles with Loretta driving the first 4 hours of the trip at 55 mph and her dad driving the remainder at 65 mph. To calculate the distance Loretta drives, we multiply her driving time by her average speed (4 hours * 55 mph = 220 miles). Then, we subtract that distance from the total trip distance to find out how far her dad drives (610 miles - 220 miles = 390 miles). To calculate how long her dad drives, we divide his driving distance by his average speed (390 miles / 65 mph).
Now let's solve the dad's driving time:
390 miles / 65 mph = 6 hours. So, Loretta's dad would drive for 6 hours. The total driving time for the trip is the sum of both Loretta's time and her dad's time: 4 hours + 6 hours = 10 hours.
A city council has to use its resources to improve either the water supply or the drainage system. At which level is this decision made?
Answers
A city council has to use its resources to improve either the water supply or the drainage system. At which level is this decision made?
The asnswer is: Government
P=(20+0.5x)+ 0.15(20+0.5x)
Answers
In science class, the girl to bot ratio is 3 to 7, if there are 50 students total in the class, how many are boys
Answers
so there are 35 boys in the class
Anna is conducting a study about the effects of toxins in the water on the hormones of fish. Anna surveys 420 male fish in a river and finds that 130 of the male fish have egg cells growing inside them. According to Anna's survey, what is the ratio of male fish with egg cells to male fish without egg cells in the river?
Answers
The ratio of male fish with egg cells to male fish without egg cells is 130:290, which simplifies to 13:29.
To determine the ratio of male fish with egg cells to those without, you must subtract the number of male fish with egg cells from the total number of surveyed male fish. According to Anna's survey, she found that 130 male fish out of 420 had egg cells. This implies that 420 - 130 = 290 male fish do not have egg cells.
Now, to find the ratio:
Male fish with egg cells: 130
Male fish without egg cells: 290
The ratio of male fish with egg cells to male fish without egg cells is 130:290. This ratio can also be simplified by dividing both parts by the greatest common divisor, which is 10 in this case. After simplification, the ratio becomes 13:29.
which is equivelent to 256 2/5
Answers
hope this helps
A skater has a weight of 500-N. The skate blades are in contact with the ice over an area of 0.001m^2.what is the pressure exerted on the ice by the skater
Answers
The pressure exerted on the ice by the skater, who weighs 500-N and has blade contact area of 0.001 m², is 500,000 Pa (Pascals).
Explanation:The question is asking about the pressure exerted on the ice by a skater. To find the pressure, we use the formula P = F/A, where P is the pressure, F is the force, and A is the area in contact with the ice.
If the skater weighs 500-N and is gliding on one skate blade, which has an area of contact of 0.001 m2, the pressure is calculated by dividing the weight by the area. Using the provided data from the similar situation of a skater with a weight of 736 N and a blade area of 5.0 × 10-4 m2, we would calculate the pressure using these figures. However, we need to calculate the pressure using the data specific to this skater, with a weight of 500-N and a blade area of 0.001 m2.
The pressure exerted on the ice can be calculated as:
P = 500 N / 0.001 m2 = 500,000 Pa (Pascals)
Ashley drove 5 hours and 45mins and drove 391 miles. How far did she drive in 1 hour
Answers
5 x 60 = 300
300 + 45 = 345
391 miles/345 min = 1.13 miles per min
1.13 x (60 min/1 mile) = 67.8 miles per hour
Ashley drove ~67.8 miles per hour
hope this helps
Is the ordered pair (-2, 9) a solution of the equation y = x – 7?
Answers
The ordered pair (-2, 9) is not a solution of the equation y = x – 7.
Explanation:To determine if the ordered pair (-2, 9) is a solution of the equation y = x – 7, we can substitute the values of x and y into the equation and see if it is true.
Plugging in the values, we have 9 = -2 - 7. Simplifying, we get 9 = -9. Since this statement is false, the ordered pair (-2, 9) is not a solution of the equation y = x – 7.
Final answer:
The ordered pair (-2, 9) is not a solution to the equation y = x − 7 because when you substitute x with -2, the equation yields y = -9, not y = 9 as suggested by the ordered pair.
Explanation:
To determine if the ordered pair (-2, 9) is a solution to the equation y = x − 7, we need to substitute the x-value from the ordered pair into the equation and see if the resulting y-value matches the one in the ordered pair.
Let's substitute x = -2 into the equation:
y = (-2) − 7
y = -2 − 7
y = -9
This means that when x is -2, y should be -9 according to the equation. However, the y-value given in the pair is 9, not -9. Therefore, the ordered pair (-2, 9) is not a solution to the equation y = x − 7.
Based upon statistical studies, it takes about one-third less time for fans to exit a game as it does for them to enter and find their seats. If the ingress for the stadium is 3,000 fans per hour, what is the egress?
Answers
Answer:
4500 fans per hour
Step-by-step explanation:
joni borrowed money from her aunt and agreed to pay her 5% simple annual interest. At the end of 3 years, she owes $30 in interest. how much did jodi originally borrow? A. 150
B. 200
C.220
D. 300
Answers
Assume that the amount Joni borrowed is m.
After three years, the interest is 30$.
This means that:
15% of the amount m = 30$
0.15m = 30
m = 30/0.15 = 200
Joni originally borrowed 200$
Answer:
B
Step-by-step explanation:
, , and are tangent to circle o through points c, b, and e, respectively. if mdaf = 66° and mfda = 56°, what is meob?
Answers
Serra rode 15 mi in 1.5 hr. Phaelon rode 38 mi in 3.5 h. Justice rode 22 mi in 2.25 hr. Who had the fastest average speed?
Answers
Serra : 15/1.5 = 10 miles per hr
Phaelon : 38/3.5 = 10.857 rounds to 10.86 miles per hr
Justice : 22/2.25 = 9.777 rounds to 9.8 miles per hr
fastest average speed is Phaelon
Using the formula of average distance = total distance traveled / total time taken, we find that Phaelon had the fastest average speed of 10.86 mi/hr.
Explanation:To find out who had the fastest average speed, we'll need to calculate the average speed for each person. We can do this by dividing the total distance traveled by the total time taken.
Serra's average speed: 15 mi / 1.5 hr = 10 mi/hr
Phaelon's average speed: 38 mi / 3.5 hr = 10.86 mi/hr
Justice's average speed: 22 mi / 2.25 hr = 9.78 mi/hr
So, by comparing these speeds, we can conclude that Phaelon had the fastest average speed of 10.86 mi/hr.
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Find the area of the triangle with vertices: q(3,-4,-5), r(4,-1,-4), s(3,-5,-6).
Answers
Answer:
(√6)/2 square units
Step-by-step explanation:
The area of a triangle is half the magnitude of the cross product of the vectors representing adjacent sides.
QR = (4-3, -1-(-4), -4-(-5)) = (1, 3, 1)
QS = (3 -3, -5-(-4), -6-(-5)) = (0, -1, -1)
The cross product is the determinant ...
[tex]\text{det}\left|\begin{array}{ccc}i&j&k\\1&3&1\\0&-1&-1\end{array}\right|=-2i+j-k[/tex]
The magnitude of this is ...
|QR × QS| = √((-2)² +1² +(-1)²) = √6
The area of the triangle is half this value:
Area = (1/2)√6 . . . . square units
4.5+1.5k=18−3k
solve for k
Answers
Answer: I think its 3
Step-by-step explanation:
4.5+4.5=9 and 3*3=9 so 18-9=9 so K=3
The value of k is 3.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 99 is an equation.
We have,
4.5 + 1.5k = 18 - 3k
Combine like terms on one side.
1.5k + 3k = 18 - 4.5
4.5k = 13.5
Divide both sides with 4.5
k = 3
Thus,
The value of k is 3.
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Solve for x over the complex numbers. x2+10x+41=0
Answers
using x=(-b±√b²-4ac)½
where a= 1
b=10
c=41
x= (-10±√10²-4×1×41)½
x=-5 ± √(100-164)
x=-5±√(-64)½
x=-5±4i
x=-5+4i or -5-4i
where i= √-1
Suppose △ ITH ≅ △ APG
Which congruency Statement is true?
A) IH ≅ AG
B) TH ≅ AG
C) IT ≅ AG
D) TH ≅ AP
Answers
F: First
O: Outer
I: Inner
L: Last
Statement A is true. IH and AG in the FOIL method is the Outer.
Answer: A) IH ≅ AG
Step-by-step explanation:
A property of congruent triangles is known as CPCTC which says that the congruent parts of the corresponding triangle are congruent.
We are given that Δ ITH ≅ Δ APG , then the every part of Δ ITH must be congruent to the corresponding part of Δ APG.
i.e. Corresponding sides of Δ ITH and Δ APG are congruent.
Since Side IH in Δ ITH is corresponding to side AG in Δ APG [First and last letter]
Then, IH ≅ AG