determine if each polygons are similar, if so, write the similarity statement and the similarity ratio. if not explain why.
Answers
Answer:
They are not similar
Step-by-step Explanation:
For two polygons to be considered similar, two conditions must be met:
1. The ratio of their corresponding sides must be equal, and must have the same scale factor.
2. Their corresponding angles must be the same. That is, the corresponding angles must be congruent.
Now let us examine the two polygons ( ∆AYP and ∆BOX) given to ascertain if they are similar.
First, we can observe that only two of their corresponding sides were given. The third corresponding side, "YP/OX" is not given. This makes it difficult for us to tell if the polygons are similar, if we are to base our conclusion on merely considering the ratio of their corresponding sides.
Although, the two given corresponding sides (AY/BO & AP/BX), both have equal ratio ⅖, i.e. AY/BO = AP/BX = ⅖. This is not enough to tell both polygons are similar, as we cannot tell if the third corresponding side would give us same ratio, since it wasn't given in the diagram.
==>Next is to examine the interior angles of the polygons, whether the measure of their corresponding angles are the same.
Thus, from the diagram, we can see that two angles of the each triangle were given. We can find the measure of the third angle not given since we know that sum of the interior angles of a triangle = 180°
Thus, <P in ∆AYP = 180 - (90+20) = 180 - 110
<P = 70°
Thus, <B in ∆BOX = 180 - (90+80) = 180 - 170
<B = 10°
From the above calculation, comparing both polygons having known the measures of their corresponding angles, we can conclude that both polygons given in the question are not similar.
This is because the measure of their corresponding angles are not congruent.
<A is not congruent to <B, so likewise with <P and <X.
Related Questions
James is working at a place that ships boxes. Each box is rectangular prism that measures 2 ft long, 3 ft wide, and 2 ft tall. He is loading a small trailer that has 396 cu ft of space. What is the maximum number of boxes he can fit inside the trailer?
Answers
Answer:
33
Step-by-step explanation:
2x3x2=12 396/12=33
which of these statements us true for f(x)=3•(9)^x
Answers
Answer:
C
Step-by-step explanation:
The y-intercept is at x=0, y=3.
Natalie made a mistake in the following problem.
The mistake was made in Line ___. Only input the number of the first incorrect line
Line 1
6(4) ÷ 2 − 1 + 5
Line 2
6(4) ÷ 1 + 5
Line 3
24 ÷ 1 + 5
Line 4
24 + 5
Line 5
29
Answers
Answer:
The mistake is in line 2
Step-by-step explanation:
(BODMAS) bracket (multiplication) before subtraction
What is the approximate area of the shaded sector in the circle shown below
Answers
Answer: B
Step-by-step explanation:
The area of a circle is pi*radius^2. But only a diameter is given, so in order to find the radius, you must divide the diameter by 2:
3.6/2 = 1.8
Now, you can plug the radius, 1.8, into the equation pi*radius^2 ([tex]\pi r^{2}[/tex]):
[tex]\pi (1.8)^2 = \pi(3.24)[/tex] = about 10.18
Lastly, you must divide the area 10.18 by 2 because you are looking for only half the area.
10.18/2 = 5.09
The area of the shaded region is 5.09 square cm if the radius of the circle is 1.8 cm, option (B) is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have:
The diameter of the circle = 3.6 cm
The radius of the circle = 3.6/2 = 1.8 cm
Area of shaded region = (180/360)π(1.8)²
Area of the shaded region = 5.089 ≈ 5.09 square cm
Thus, the area of the shaded region is 5.09 square cm if the radius of the circle is 1.8 cm, option (B) is correct.
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Please help, I need this answer
Answers
Answer:
6.4
Step-by-step explanation:
By the Pythagorean Theorem:
[tex]c=\sqrt{5^2+4^2}= \\\\\sqrt{25+16}= \\\\\sqrt{41}\approx 6.4[/tex]
Hope this helps!
Answer:
To solve we need to use pythogorean theorm. So first we take the square of both giving us 25, 16. Then we add them and get 41. So the answer is squareroot of 41 and if you round you get 6.4
Answer: is approx. 6.4Can you guys teach me how to do this??
Answers
The usual margin of error we strive for is a 95% probability that our estimate is within the margin. Assuming a normal distribution (and that we have a big enough sample not to worry about t tests) that corresponds to between minus and plus two standard deviations of the mean (remember the 68-95-99.7 rule). So our margin of error is plus or minus two standard deviations.
Answer: ±2%
Container X contained 1200g of sand.Container Y contained 7.2kg of sand.After an equal amount if sand was removed from each container,Container Y had 7 times as much sand as container X.how much sand was removed from each container?
Answers
Simplify: (2x2 − 9x + 3) + (−7x2 + 4x − 2)
Answers
Answer:
-5x^2-5x=+1
Step-by-step explanation:
PLZZZZ HLPPPPP MEEEEEEEE
write the slope intercept inequality for the graph below. if necessary use <= or >=
Answers
Answer: y ≥ (3/5)*x - 3
Step-by-step explanation:
In the graph, we can see that we are above a bold line, that goes through the points (0, -3) and (5, 0)
First, let's find the equation for this line:
y = a*x + b
the value of a is the slope and is equal to:
a = (0 - (-3))/(5 -0) = 3/5
and the value of b is the point where the line intersects the y-axis, in this case, b = -3
then our line is
y = (3/5)*x - 3
As the shaded part is above the line, this equality represents the minimum value that y can take for a given x, and because the line is not a doted line, we know that the equality is valid, so we must use the ≥ symbol.
y ≥ (3/5)*x - 3
Billy’s Boat Rentals charges a yearly fee of $105 and $9.50 each time a member wants to rent a boat. Lisa’s Boat Rentals does not charge a yearly fee but charges $14.75 every time a member rents a boat. How many times does a person have to rent a boat for Billy’s and Lisa’s to cost the same amount?
Answers
Answer:
It will take 20 times for both cost to be same
Step-by-step explanation:
What we want to do here is to calculate the number of times it will take someone who’s wants to rent a boat by Billyboat will be able to rent Lisa boat.
The first thing to do here is calculate how much that is charged to rent Billyboats
That would be;
Let the number of times be n
so the amount will be
105 + 9.50n
Now, renting at 14.75 at n times would be 14.75n
Mathematically, we equate both
14.75n = 105 + 9.5n
14.75n - 9.5n = 105
5.25n = 105
n = 105/5.25
n = 20 times
i hate math bro please help me ill mark u brainliest
Answers
Answer:
B. A reflection across the y axis.
Step-by-step explanation:
Only B. A reflection across the y axis will work because all the other options make it move somewhere else or flip it upside down. The trapezoid has a line of symmetry down the y-axis so reflecting it across the y-axis will make the same exact figure in the same exact spot.
Evaluate -31-8+31 what’s the answer
Answers
Answer:
i believe that would be -8...
Step-by-step explanation:
Answer:
the correct answer is -8
plz mark as brainliest
Step-by-step explanation:
A student does an experiment and wants to make a graph comparing various amounts of materials. Which type of graph should the student choose?
Answers
Answer:
The plotting the points 1 and then you will be able to compare the materials and how they work in comparison to the other material
Answer:
Bar graph
Step-by-step explanation:
Cuz he will make bars in order to show the materi
In △ABC, AB = 13.2m,
BC = 6.9m and ∠ACB = 90°. H lies on AC such that
∠BHC = 46°. Find
(i) ∠ABH
(ii) The length of AH
Answers
Answer:
(i) ∠ABH = 14.5°
(ii) The length of AH = 4.6 m
Step-by-step explanation:
To solve the problem, we will follow the steps below;
(i)Finding ∠ABH
first lets find <HBC
<BHC + <HBC + <BCH = 180° (Sum of interior angle in a polygon)
46° + <HBC + 90 = 180°
<HBC+ 136° = 180°
subtract 136 from both-side of the equation
<HBC+ 136° - 136° = 180° -136°
<HBC = 44°
lets find <ABC
To do that, we need to first find <BAC
Using the sine rule
[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin C}{c}[/tex]
A = ?
a=6.9
C=90
c=13.2
[tex]\frac{sin A}{6.9}[/tex] = [tex]\frac{sin 90}{13.2}[/tex]
sin A = 6.9 sin 90 /13.2
sinA = 0.522727
A = sin⁻¹ ( 0.522727)
A ≈ 31.5 °
<BAC = 31.5°
<BAC + <ABC + <BCA = 180° (sum of interior angle of a triangle)
31.5° +<ABC + 90° = 180°
<ABC + 121.5° = 180°
subtract 121.5° from both-side of the equation
<ABC + 121.5° - 121.5° = 180° - 121.5°
<ABC = 58.5°
<ABH = <ABC - <HBC
=58.5° - 44°
=14.5°
∠ABH = 14.5°
(ii) Finding the length of AH
To find length AH, we need to first find ∠AHB
<AHB + <BHC = 180° ( angle on a straight line)
<AHB + 46° = 180°
subtract 46° from both-side of the equation
<AHB + 46°- 46° = 180° - 46°
<AHB = 134°
Using sine rule,
[tex]\frac{sin 134}{13.2}[/tex] = [tex]\frac{sin 14.5}{AH}[/tex]
AH = 13.2 sin 14.5 / sin 134
AH≈4.6 m
length AH = 4.6 m
HELPPP PLEASEE l
The gasoline mileage for two cars can be compared by finding the distance each car traveled and the amount of gasoline used. The table shows the distance that car M traveled using x gallons of gasoline.
The graph shows the distance, y, that car P traveled using x gallons of gasoline
Answers
Answer:
Car M:
50.4/2 = 25.2
car M uses up 1 gallon every 25.2 miles
Car P:
Just from the graph, you can see that it uses up 1 gallon every 30 miles
The two graphs vary the /miles slightly but it is around their zones of 25.2 and 30. It varies slightly because the cars may be traveling at a fast speed or slower speed thus using up more or less fuel by the time they've reached the recorded distances on the graphs.
Which of the following expressions are equivalent to this expression: –1(0) = ? im lazy and dont wanna do it
Answers
Answer:
0
Step-by-step explanation:
Okay...um. Any number times 0 is 0 so the expression you choose should equal 0.
Express 29 out of 40 as a percentage
Answers
Answer:
72.5%
Step-by-step explanation:
To express a value as a %:
value/whole x 100 = 29 / 40 x 100
This gives you 72.5%
Hope this helps
Which data set is least Likely to resemble a normal distribution?
Look at picture
Answers
Answer: B) The heights of girls who live on a certain street in the city of Buffalo
Every answer choice starts with "the heights of all 14-year-old girls who", so we can ignore that part. Choice A describes the largest population while choice B describes the smallest population. In other words, choice A is very general and broad, while choice B is very specific and narrow. The more specific you get and the smaller the population is, the less likely its going to be normally distributed.
Approximate the value of positive square root 5 to the nearest hundredth
Answers
Answer:
2.2
Step-by-step explanation:
Rewrite
y +2>1/3 (6x – 9) to isolate the yterm.
Answers
Answer:
[tex]y>2x-5[/tex]
Step-by-step explanation:
[tex]y +2>1/3 (6x-9)[/tex]
Expand 1/3(6x-9).
[tex]y +2>6/3x-9/3[/tex]
[tex]y +2>2x-3[/tex]
Subtract 2 on both sides.
[tex]y +2-2>2x-3-2[/tex]
[tex]y>2x-5[/tex]
The rewritten form of y +2 > 1/3 (6x – 9) where the y-term us isolated is; y > 2x -5
To isolate the y-term;
The following operations are carried out;
y +2 >1/3 (6x – 9)y +2 > 2x – 3By finally isolating y; we have;
y > 2x -5
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Find the surface area of this triangular prism shown below
Answers
Answer:
Step-by-step explanation:
area of side triangles=2(1/2×6×4)=24 units²
area of 3 rectangles=6×7+2(5×7)==42+70=112 units²
or=(6+5+5)×7=16×7=112 units²
Total surface area=24+112=136 units²
Can someone help? It’s about 2 column proofs
Answers
Step-by-step explanation:
1. AB = BC (B is the midpoint of AC)
2. DE = EF (E is the midpoint of DF)
3. EB is common
4. ∠ABE = ∠CBE; ∠BED = ∠BEF (EB⊥AC, EB⊥DF)
5. ΔDEB ≅ ΔFEB (RHS)
6. DB = FB (corresponding ∠s of ≅ Δs)
7. ∠EFB = ∠CBF; ∠EDB = ∠ABD (alternate interior angles, AC║DF)
8. ΔABD ≅ ΔCBF (SAS)
Please help which figure represents an under defined term?
Answers
Answer:
D
Step-by-step explanation:
Because its a line and the only three undefined terms are line,point,plane
Please help……………………………………!!!!!!!!!
Answers
Answer:
4 k^4
Step-by-step explanation:
(64 k^12) ^ 1/3
We know (ab)^c = a^c * b^c
64 ^ 1/3 k^12^1/3
4 * k^12^1/3
We know a^b^c = a^(b*c)
4 k^(12*1/3)
4 k^4
What is the standard equation of the circle on the graph?
A. (x+2)^2 + (y-3)^2 = 2
B. (x-2)^2 + (y+3)^2 = 2
C. (x-2)^2 + (y+3)^2 = 4
D. (x+2)^2 + (y-3)^2 = 4
Answers
Answer: D
Step-by-step explanation:
The equation would be (x+2)^2 + (y-3)^2 = 4 if I did it right. (Sorry if it’s wrong!)
Answer = D :)
Step-by-step explanation:
Find the radius and center of the circle given by the equation below.
(x-6)2 + (y + 4)2 = 7
Ore 17 and center at (-4.6)
or= 7 and center at (6-4)
or=7 and center at (-6.4)
or= 7 and (
6-4)
Answers
Answer:
center (6,-4)
radius = √7 unit
Step-by-step explanation:
Mathematically, the equation of a circle can be written as follows;
(x-a)^2 + (y-b)^2 = r^2
Where (a,b) represents the center of the circle with r representing the radius of the circle.
Now looking at the values in the question, we can clearly see that a = 6, while b represents -4.
The radius of the circle is √7
So the circle center is (6,-4) while √7 is the circle center
Anybody know the answer?
Answers
Yes!
This does represent a function because all numbers in this table are real numbers.
Integers and whole numbers are apart of real numbers.
Therefore you do not have to state why this is not a function because it certainly is!
If point P is 4 over 7 of the distance from M to N white ratio does the point P partioned the directed line segments from M to N into
Answers
Answer:
4 : 3
Step-by-step explanation:
The first segment is 4/7 of the whole, so the second segment is 1 - 4/7 = 3/7 of the whole. Then the ratio of the two segments is ...
(4/7) : (3/7) = 4 : 3
Which circle C shows a chord that is not a diameter?
Circle C is shown. A line is drawn from one side of the circle to the other side and goes through point C.
Circle C is shown. A line is drawn on the outside of the circle and intersects the circle at one point.
Circle C is shown. A line is drawn from point C to a point on one side of the circle.
Circle C is shown. A line goes from one point on the circle to another point on the circle.
Answers
Answer:
The answer is option D
Step-by-step explanation:
Just got it right on edge :)
Answer:
d
Step-by-step explanation:
An arithmetic sequence has this recursive formula. a1=9 and 1-3 .
Answers
The required explicit formula for the sequence is [tex]a_n = 9+(n+1)(-3)[/tex]. Option B is correct.
Given, an arithmetic sequance is given in the form of [tex]\left \{ {{a_1=9} \atop {a_n =a_{n-1}-3} \right.[/tex] .
Explicit formula for the sequence is to be determined.
Arithmetic progression is the sequence of numbers that have common differences between adjacent values.
Example, 1, 2, 3, 4, 5, 6. this sequence as n = 6 number with a = 1 (1st term) and common differene d = 2- 1 = 1.
Given arithmetic sequance is in the form of [tex]\left \{ {{a_1=9} \atop {a_n =a_{n-1}-3} \right.[/tex]
From above expression
[tex]a_n-a_{n-1}= -3[/tex]
common difference (d) = -3
with d = -3 and [tex]a_1 = 9[/tex]
The equation for the nth term in an arithmetic sequence is given by
[tex]a_n =a +(n-1)d[/tex]
[tex]a_n = 9 +(n-1)(-3)[/tex]
The above expression is the explicit form of the arithmetic equation.
Thus, the required explicit formula for the sequence is [tex]a_n = 9+(n+1)(-3)[/tex]. Option B is correct.
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