Explain why the two figures below are similar. Use complete sentences and provide evidence to support your explanation. (10 points) Figure ABCDE is shown. A is at negative 3, 1. B is at negative 1, 3. C is at 3, 3. D is at 2, 0. E is at negative 1, negative 1
Answers
Figure ABCDE is similar to figure FGHIJ and because corresponding sides have same ratio.
How to Identify Similar Triangles?
Similar triangles are triangles that have the same shape, but their sizes may vary.
In figure ABCDE vertices A,B,C,D,E are given so we can find their sides by applying distance formula:
D=√((x2 - x1)² + (y2 - y1)²)
With the help of this formula we can find AB;
AB = √(-1 - (-3))² + (3 - 1)²)
AB = √((-1 + 3)² + (2)²)
AB = √((2)² + (2)²)
AB = √(4 + 4)
AB = √8
AB = (√2*2) * 2
AB = 2√2
Likewise, we can find the remaining sides as;
BC = 4, CD = √10, DE = √10 and EA = 2√2
FG = √2, GH = 2,HI = 1.58114, IJ = 1.58114 and JF = √2
When the two figures are similar then the ratios of their corresponding sides are equal.
Thus, we have that;
AB/FG = BC/GH = CD/HI = DE/IJ = EA/JF
Therefore, we conclude that figure ABCDE is similar to figure FGHIJ and because corresponding sides have same ratio.
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Related Questions
Find the x-intercept and y-intercept
from the following linear equation:
-3x + 11y = 66
x - intercept (-22, [?])
y - intercept ([],[])
Answers
Answer:
x - intercept: (-22, 0)
y - intercept: (0, 11)
Step-by-step explanation:
Given the linear equation
-3x + 11y = 66
Determining the x-intercept
We know that the x-intercept can be computed by setting the value y=0 and solving for x.
substitute y = 0
-3x + 11y = 66
-3x + 11(0) = 66
-3x + 0 = 66
-3x = 66
Divide both sides by -3
-3x/-3 = 66/-3
x = -22
Thus, the ordered pair representing the x-intercept : (-22, 0)
Determining the y-intercept
We know that the y-intercept can be computed by setting the value x=0 and solving for y.
substitute x = 0
-3x + 11y = 66
-3(0) + 11y = 66
0 + 11y = 66
11y = 66
Divide both sides by 11
11y/11 = 66/6
y = 11
Thus, the ordered pair representing the y-intercept : (0, 11)
Therefore, we conclude that:
x - intercept: (-22, 0)
y - intercept: (0, 11)
Answer:
X=(-22,0)
Y=(0,6)
Bill spends 28% of his monthly salary on rent. If his rent is 525
dollars a month, how much is his monthly salary?
‼️PLEASE HELP ME‼️‼️‼️‼️‼️‼️
Answers
Which fractions are less than 1/2
Answers
Answer:
1/4, 4/10, 3/7, 24/50 are all less than 1/2.
Step-by-step explanation:
Sarah has watched 22 videos. 13 of them she liked. What is the ratio of videos liked to those not liked videos?
Answers
Answer:
13:9
Step-by-step explanation:
Hope this helps!
√4x-4=√5x-1−1.
there's 2 answers apparently
Answers
Answer:
x=−8.472135
Step-by-step explanation:
PLEASE HELP, 20 POINTS!!!!
Answers
Answer:
Oh thx for the 20 points &
2(x+6)=-36
Step-by-step explanation:
Write a linear function f with the values f(−1)=5 and f(3)=4.
Answers
Answer:
1 Expert Answer When they say f(0) = -5 they mean the point (0, -5) is on the line. When they say f(3) = 4 they mean the point (3, 4) is on the line. In y = mx + b form, we would have f(x) = 3x - 5.
Step-by-step explanation:
The function is to be determined from the given points.
The linear function is [tex]f(x)=-\dfrac{1}{4}x+\dfrac{19}{4}[/tex]
The given values are
[tex]f(-1)=5[/tex]
[tex]f(3)=4[/tex]
The ordered pairs are [tex](-1,5),(3,4)[/tex]
The equation of the line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\Rightarrow y-5=\dfrac{4-5}{3-(-1)}(x-(-1))\\\Rightarrow y-5=-\dfrac{1}{4}(x+1)\\\Rightarrow y-5=-\dfrac{1}{4}x-\dfrac{1}{4}\\\Rightarrow y=-\dfrac{1}{4}x-\dfrac{1}{4}+5\\\Rightarrow y=-\dfrac{1}{4}x+\dfrac{19}{4}[/tex]
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3.
The time taken, t seconds, that it takes a water heater to boil water is inversely
proportional to the power, p watts, of the water heater.
When P= 2000W, T = 252 seconds.
Find the time it takes to boil water when P = 800W?
Answers
Solve the linear equation x+4+3x=72 state the property that justifies your first step and why you chose it.
Answers
Answer:
Step-by-step explanation:
problem justification
x+4+3x=72 given
4x+4=72 combine like terms or simplify
4x=68 subtraction property
x=17 division property
This can be simplified to 4x+4=72
Move the constant to the right 4x= 72-4
Calculate it 4x=68
Then divide both sides by the x value x=68/4
Answer: x=17
Can someone explain what I'm supposed to do here? I have to have this in by tonight, as well.
Answers
Answer:
5-6y+7b
Step-by-step explanation:
ok boii 32ed32d d d 3 . 2 2 22 2
evaluate 9.3s + 8.5t when s=7 and t=8
Answers
Answer:
17.95
Step-by-step explanation:
apparently word won't work so this will I still need to pass tho
Answers
Answer:
Have you tried word online?
Step-by-step explanation:
Write the following equation from the verbal description given
and then solve the equation.
"Two and three-fourths times the sum of twelve times a
number c and negative seven is equal to thirty-five and three-
fourths."
Answers
The equation for the given verbal descrption "two and three-fourths times the sum of twelve times a number c and negative seven is equal to thirty-five and three-fourths." is [tex]2\frac{3}{4}[/tex]( 12c -7) = [tex]35 \frac{3}{4}[/tex] and its solution is c = 5/6.
According to the given question.
We have a verbal description for a equation i.e. "two and three-fourths times the sum of twelve times a number c and negative seven is equal to thirty-five and three-fourths."
So, the equation for the above verbal description is given by
[tex]2\frac{3}{4}[/tex]( 12c -7) = [tex]35 \frac{3}{4}[/tex]
Therefore, the solution for the above equation is given by
11/4(12c - 7) = 143/4
⇒ 11(12c - 7) = 143 (multiply both the sides by 4)
⇒ 132c - 77 = 143
⇒ 132c = 143 + 77
⇒ 132c = 220
⇒ c = 220/132
⇒ c = 110/66
⇒ c = 55/66
⇒ c = 5/6
Hence, the equation for the given verbal descrption "two and three-fourths times the sum of twelve times a number c and negative seven is equal to thirty-five and three-fourths." is [tex]2\frac{3}{4}[/tex]( 12c -7) = [tex]35 \frac{3}{4}[/tex] and its solution is c = 5/6.
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Find the mean, median and mode of the weights of the people shown. Please
Answers
Step 2:
Mean or average (I would remember this by saying mean people call others average) : we find the average by adding all and divide by the number of people.
Median: who is the middleman ? Choose the person or the ‘x’ standing in the middle. (I would remember this by thinking that a road median splits the road therefore it’s in the middle) —-> Unlike mean and mode, only after you order the data you can find the median !!!
Mode: what is the number that repeats the most ? (Hint: 61 is the answer )
Gabby is an aspiring country artist. She has a record contract that pays her a base rate of $200 a month and an additional $12 for each album sold. Last month she earned a total of $644. Identify the y-intercept in the equation.
Answers
Answer:
From the formula above, you see that your slope would be the $12.
Step-by-step explanation:
So, from this problem the base rate is the y-intercept because it is fixed. The slope of the is the additional fee because it's changing by the number of albums sold. Below is the equation that should have been created using the slope intercept formula.
220 + 12x = 644
You will need the slope intercept form, y = mx + b
m is the slope
b is the y-intercept
Get it?HELP ASAP!!
Solve the following quadratic equation for all values of x in simplest form.
3(x - 2)2 – 37 = 20
Answers
pls give brainliest if you found my answer helpful
Work: Step 1) 3(x-2)2-37=20
Step 2) (3x-6)2-37=20
Step 3) 6x-12-37=20
Step 4) 6x-12= 20+37
Step 5) 6x=57+12
Step 6) 6x=69
Step 7) x=69/6
Step 8) x= 23/2
A pyramid is made above a cuboid with measure 90cm×50cm×225cm. If the height of the pyramid including cuboid is 240cm, find the total volume.
Answers
Answer: whatever do I care
Step-by-step explanation: I don’t care
The required volume of the pyramid is, 22500 cubic cm.
What is volume?Volume is referred to as the area occupied within an object's three-dimensional space.
Given that,
The length of cuboid = 90 cm
Width of cuboid = 50 cm
And height of cuboid = 225 cm
Let the height of the pyramid is x cm
Since the height of cuboid and pyramid = 240 cm
⇒ 225 + x = 240
⇒ x = 15 cm
Since the base of pyramid will be the same as the base of cuboid,
The volume of pyramid = 1/3 x base area x height
= 1/3 x 90 x 50 x 15
= 22500
The volume of the pyramid is 22500 cubic cm.
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If point A is located at (5, -7),
and there are 8 points between
A and B, what could be the
possible coordinates for point
B?
Answers
B: (5,1)
B: (5,-15)
B: (13,-7)
B: (-3,-7)
The maximum value of y = cos x for -π/2 < x < π/2
0
1
π
Answers
Answer:
(0,1)
Step-by-step explanation:
Can someone help me plz
Answers
Answer:
I would choose c
Step -by- step explanation:
When you work out 4 oranges and 4 apples divided by 10 youll get 2 and a makes it a loss and also when you work out b its still a loss and there is a solution to the problem so it has to be c in my opinion.
what is the the slope of the line through (2, -2) and (9, 3)
Answers
Answer:
m = 5/7
Step-by-step explanation:
m = y2-y2/x2-x1
m= 3-(-2)/ 9-2
m= 5/7
Answer:
[tex]m=\frac{5}{7}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (2, -2)
Point (9, 3)
Step 2: Find slope m
Substitute [Slope Formula]: [tex]m=\frac{3+2}{9-2}[/tex]Add/Subtract: [tex]m=\frac{5}{7}[/tex]what is 90% round to the thousandth place
Answers
Answer:
0.09
Step-by-step explanation:
Move the decimal 3 points over :)
**please mark brainliest!!
This table represents a quadratic function. and The graph of a quadratic function is represented by the table. please help :)
Answers
Answer :
D
Step-by-step explanation:
Because when you put it in the calculator it will show if the solution is right. For example,
f(x) = a(x-h)^2 +k
Vertex is (2,-4)
Plug in the vertex and Pick a coordinate to test
I pick (0,-3)
f(x) = a(0-2)^2 -4= -3
Plug in each a to shows that the equation is true . In this case, 0.25 worked!
Test
0.25(0-2)^2-4= -3
-3 = -3
Hope this helped!
Pls make me the Brainliest if the answer is right it would meant a lot. Thanks
Answer:
D. 1/4 and [tex]f(x)=-2(x-8)^{2}+6[/tex]
Step-by-step explanation:
I did the test.
Jeremy has heard a lot of people in the club talking about tackling a 950-foot rock formation. Jeremy has set a limit that they won't climb anything that takes longer than 7 hours, so they have enough time to travel to and from the place. Will it be possible to climb a 950-foot rock formation within Jeremy's time constraint? Explain why or why not.
Answers
Answer:
The answer is "no".
Step-by-step explanation:
Please find the image file of the question in the attachment.
In the given question, it will take approximately 2-3 min to climb 1 step taller. It's an estimate of 7.92 hours, if you split 950 to 2, it is the period it would take you to go out in minutes when we turn 475 mins into minutes. As we see it will take them an extra 92 mins for 950 feet to ascend. They can achieve it by ascending this at an average rate of 135.7 ft/h.
Answer:
No, the amount of minutes to climb up 1 foot of the height would be around 2-3 minutes. If you divide 950 with 2, you get 475 which would estimate to 7.92 hours. So as we see they would need an extra 55.2 minutes to climb the full 950 feet.
I hope this helps y'all ;p
in general, if lim x->a m(x) does not exist and lim x->a n(x) does not exist, is it true that lim x->a [m(x) n(x)] does not exist?
Answers
The claim is untrue because, in the case of discrete functions, the absence of either function limit does not imply that the limit product of those two functions will also not exist.
What exactly are limit functions?When a variable approaches its limit from the right, the function's right-hand limit is the value that approaches. When a variable approaches its limit from the left, the function's left-hand limit is the value that approaches. The limit of a function in mathematics is a key idea in calculus and analysis regarding the behavior of that function close to a specific input. Below are formal definitions that were initially developed in the early 19th century. Informally, a function f gives each input x an output f(x). The limit of a constant multiplied by a function is the same as the limit of the function multiplied by the constant. A product's limit is equal to the product of its limits. A quotient's limit is the same as the quotient of its limits. A constant function's limit is the same as the constant.
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Point B is in quadrant __________ and Point D is in quadrant __________.
A. I, II
B. IV, I
C. II,I
D.IV,III
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Which point on the graph best represents the location of left parenthesis minus 4.5 comma space minus 7 right parenthesis ?
A. Point L
B. Point M
C. Point N
D. Point O
Answers
Answer:
The answer will be A because you start at 4 and in between 4 and 5 you will go up to 7 and that will be your answer
Answer:
The answer is B
Step-by-step explanation:
Here is the problem
Plz help
My brain hurts????????????????
Answers
Answer:
im pretty sure its 144.5
whats 1 +4? i honestly have no idea-
Answers
Answer:
its 5 dude...............
Ob babysits the kids next door every day after school for 1.5 hours. He earns $3.50 an hour. How much money will he earn in 6 weeks if school is in session 5 days a week the whole time? Show your work.
Answers
Answer:
$157.5
Step-by-step explanation:
Given that:
Number of hours worked after the school = 1.5 hours
Earnings per hour = $3.50
Earnings for one day or 1.5 hours = 1.5 \times 3.50 = $5.25
Earnings for 5 days or a week = Number of days [tex]\times[/tex] Earnings for 1.5 hours = 5 [tex]\times[/tex] 5.25 = $26.25
Number of weeks for which Ob works = 6
Total earnings in 6 weeks = Number of weeks [tex]\times[/tex] Earnings in one week = Number of weeks [tex]\times[/tex] Earnings in 5 days
Total earnings in 6 weeks = 6 [tex]\times[/tex] $26.25 = $157.5