Answers
Answer:
Dilate triangle ABC with scale factor 1/3, then reflect over the line segment CD.
=================================================
Explanation:
We're given that BC = 18 and EC = 6. In order to map ABC onto DEC, we need to have the triangles the same size. In other words, the triangles must be congruent and in the same location. One triangle will be on top of the other.
To make triangle ABC congruent to triangle DEC, we need to have BC = EC. Currently BC is 3 times longer than EC. So we need to dilate with a scale factor 1/3
Note how (1/3)*18 = 6. This scale factor will reduce segment BC so it goes from 18 units long to 6 units long. The same applies to the other segments of triangle ABC.
----------------------
After the dilation, triangle ABC is the same size and shape as triangle DEC. However, the two triangles are not in the same location. We would need point B to be at the same location of point E for the triangles to match up perfectly (point A and point C are already in their proper locations).
To move point B to E, we need to apply a reflection over the horizontal line CD. This will not move points A and C. Points on the line of reflection stay where they are.
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So to summarize, we apply a dilation with scale factor 1/3 to triangle ABC. This gets triangle ABC to the right size. Then we reflect over the line segment CD so that point B moves to point E's location.
Related Questions
last one! Please help me !!
Answers
Answer:
1.) A 2.) B
Step-by-step explanation:
Formula: a^2+b^2=c^2
4^2+3^2=5^2
Proof:
4^2=16
3^2=9
9+16=25
5^2=25
please help. i will mark brainliest for whoever is correct.
Answers
Answer:d) g(x)=x^1/3-1.5
Step-by-step explanation:
Write an expression for the sequence of operations described below.subtract 4 from the sum of 2 and y
Answers
Answer:
( 2 + y ) - 4
The nth term of a sequence is n-4
a) Work out the first three terms of the sequence.
b) Work out the tenth term of the sequence.
Answers
Step-by-step explanation:
a) 1st term: 1-4= -3
2nd term: 2-4= -2
3rd term: 3-4= -1
b) FORMULA: a1 (n-1) d
a1 (first term): -3
d (difference): 1
-3 (n-1) 1
-3-1n-1= -1n-4
hope it helps! please make me brainliest..
Thank you! have a good day ahead ☺️
The mean and standard deviation of the sample data collected on continuous variable are -0.25 and 0.03, respectively. The following table shows the
relative frequencies of the data in the given intervals.
Interval
Relative Frequency
0.02
0.15
0.33
-0.34 < x < -0.31
-0.31 <<< -0.28
-0.28 << -0.25
-0.25 < 3 < -0.22
-0.22 <3 < -0.19
-0.19 <<< -0.16
0.36
0.11
0.03
Based on the table, do the data support the use of a normal model to approximate population characteristics?
A Yes, because the sum of the relative frequencies is 1.00.
B
Yes, because the distribution of relative frequencies is very close to the empirical rule for normal models.
с
No, because the values are negative and normal models are used for positive values.
D
No, because the distribution of relative frequencies is very far from the empirical rule for normal models.
E
No, because the sample size and the population parameters are not known.
Answers
Answer:
B
Step-by-step explanation:
I know because I know that how
The correct answer is D. No, because the distribution of relative frequencies is very far from the empirical rule for normal models.
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
To determine if the data supports the use of a normal model to approximate population characteristics, we need to examine the relative frequencies and see if they exhibit a bell-shaped or normal distribution.
Looking at the table, we see that the relative frequencies are not symmetrical and do not follow the empirical rule for normal models.
The largest relative frequency is in the interval from -0.28 to -0.25, and the frequencies decrease as we move away from this interval. Additionally, there are negative values in the data, which is not a characteristic of normal models.
Therefore, the correct answer is D. No, because the distribution of relative frequencies is very far from the empirical rule for normal models.
Learn more about Mean here:
https://brainly.com/question/521501
#SPJ7
What is the decimal multiplier to decrease by 0.6%?
Answers
Step-by-step explanation:
0.6/100= 0.006 should be multiplied to decrease by 0.6%
Your receipt for your visit at a restaurant is
shown below. If you leave a 15% tip, what is the
new total amount? Explain your method.
pls hurry
Answers
Answer:
36.66
Step-by-step explanation:
Basically you just find the tip 4.782 and add it to 31.88 the total. 36.662 and then round to to get 36.66.
Answer:
36.66
Step-by-step explanation:
Basically you just find the tip 4.782 and add it to 31.88 the total. 36.662 and then round to to get 36.66.
Solve the inequality:
11x+12≥45
Select one:
x 3
x≥3
x≤3
Answers
what is the equation for the line in the slope intercept form enter your answer in the box
Answers
Answer:
i belive it is y=-4x+5
Step-by-step explanation:
i just did the test
Answer: Y-4+5 Is the answer
Step-by-step explanation:
please hellp find x y and z
Answers
Answer:
angle x = 98
angle y = 82
angle z = 82
Step-by-step explanation:
angle y + 98 = 180; therefore, angle y = 82 degrees
angles z and y are alternate interior angles and are congruent (equal)
angle x is 98 degrees because angles x and y are same-side interior and their angles are supplementary (add up to 180 degrees)
What is 0.82 as a fraction in simplest form?
(I also need the work if not its ok!)
Answers
Answer:
f 41/50
Step-by-step explanation:
What is the ratio of the calories Robyn
burned on Wednesday to the calories she
burned on Monday?
A. 4:3
B. 3:2
C. 5:3
D. 5:4
Answers
Answer:
Step-by-step explanation:
7
F(x)=2x^3-5 is this a one to one function
Answers
[tex]\boxed{\boxed{\pink{\sf Yes \ it\ is \ one\ to \ one \ function .}}}[/tex]
Step-by-step explanation:A function is said to be be one-to-one ( injective) if every y-value has only one corresponding x-value. The given function is ,
[tex]\bf \implies f(x) = 2x^3-5\\\\\bf\implies y = 2x^3-5 [/tex]
Here I have made the graph of " Desoms Graphing calculator. "
Now ,on plotting its graph we see that every y-value has only one corresponding x-value . Hence , ihe given function is a injective function that is one to one function.
Hence the given function is one to one ( injective ) function.4^3 + (-2) ^4 = ?
evaluate?
Answers
Answer:
80
Step-by-step explanation:
PEMDAS- do exponents first here, simplifying that to 64+16, add those to get 80.
if the daimeter of a solid cylinder with lenght 140cm is 8cm , find its curved surface area ,
Answers
Answer : The curved surface area of solid cylinder is [tex]3520cm^2[/tex]
Step-by-step explanation :
As we are given that:
Diameter of solid cylinder = 8 cm
Length or Height o solid cylinder = 140 cm
Formula used to calculate the curved surface area of cylinder is:
Curved surface area of cylinder = [tex]2\pi r\times h[/tex]
where,
r = radius of cylinder
h = height or length of cylinder
Radius of cylinder = [tex]\frac{Diameter}{2}=\frac{8cm}{2}=4cm[/tex]
Now putting all the given values in above formula, we get:
Curved surface area of cylinder = [tex]2\times \frac{22}{7}\times 4cm\times 140cm[/tex]
Curved surface area of cylinder = [tex]3520cm^2[/tex]
Therefore, the curved surface area of solid cylinder is [tex]3520cm^2[/tex]
Given:
Diameter of a solid cylinder = 8cm
Length (height) of cylinder = 140 cm
To find:
The curved surface area of the cylinder.
Solution:
We have,
Diameter = 8cm
Radius = [tex]\dfrac{8}{2}=4\text{ cm}[/tex]
Height = 140 cm
Curved surface area of a cylinder is
[tex]CSA=2\pi rh[/tex]
where, r is radius and h is height.
Putting r=4 and h=140 in the above formula, we get
[tex]CSA=2\times \dfrac{22}{7}\times 4\times 140[/tex]
[tex]CSA=2\times 22\times 4\times 20[/tex]
[tex]CSA=3520[/tex]
Therefore, the curved surface area of the cylinder is 3520 square cm.
Select all expressions equivalent to
6x - 24
• 6(x - 4)
• 2(3x - 24)
• 3(2x - 8)
• 3(3x - 21)
Answers
Answer:
6(x-4) and 3(2x-8)
tell me if i did it right
Selena is 2 years older than Maria, and Sofia is 3 years younger than Maria. If the sum
of their ages is 44, then how old is each girl? (Let Maria's age = z.)
Answers
Answer:
Hi! Maria is 15 years old, Selena - 17 and Sofía - 12
Determine the intercepts of the line.
Answers
y=(0,100)
hopefully this helps
y= 1/6x - 1
Find the slope
Answers
Answer:
m=1/6
Step-by-step explanation:
h(x) = -5(x-1)^2(X+2)
what is the degree, leading coefficient, and y-intercept?
Answers
Answer:
-10 leading coe and (0, 20) y intercept i think
what is the vertical asymptote of f(x)= 7/ x + 5
Answers
Answer:
Vertical Asymptotes: x=-5
Horizontal Asymptotes: y=7
Can someone help me?
Answers
Answer:
Purple -3 is the answer
Step-by-step explanation:
We start by opening the bracket
That would be;
x-x-3
= 0-3 = -3
So selecting the correct option, we can see that our answer is purple
solve x-5y=-30, 3x+5y=10 show your work
Answers
1) x = 5y - 30
2) x = - 1.6y + 3.3
im assuming these are 2 different questions
Explanation:1)Start with the equation:
x - 5y= -30
add 5y to both sides:
x = 5y - 30
Your answer is x = 5y - 30
2)Start with the equation:
3x+5y=10
subtract 5y from both sides:
3x = -5y + 10
divide by 3 to get x singular
x = - 1.6y + 3.3
Your answer is x = - 1.6y + 3.3
Hope this helps :)
I need help. This has to be in within a hour. Question 3, Will mark branliest if helped!
Answers
Help is for my geometry homework, could someone explain me. ☆
Answers
Answer:
i think you subtract 67 from 137 so its 70
Step-by-step explanation:
67-137
Please help me vote brinlest
Answers
Answer:
14 > 6
Step-by-step explanation:
because if the second half of the equation is the same, but the first half is different, look for the equation that starts with the larger number
Subtract. 549 -176 Enter the answer in the box.
Answers
Answer:
373
Step-by-step explanation:
Answer:
373
Step-by-step explanation:
3x -(-2-4x)=
What does this equals??
Answers
Answer:
7x + 2
Step-by-step explanation:
Original Equation: 3x − ( −2 − 4x)
First, we distribute the negative sign:
= 3x + (−1) (−2−4x)
=3x + (−1)(−2) + (−1)(−4x)
= 3x + 2 + 4x
Using the communitive property of addition, we can write:
= 3x + 4x + 2 (Instead of 3x + 2 + 4x)
Combining like terms, we get:
= (3x + 4x) + 2
= 7x + 2
my classmate is unsure about how to use side lengths to determine the type of triangle. How would i explain this to my classmate
Answers
equilateral triangles are made of all even sides with a angle of 60 degrees
isosceles triangle has two of the same sides and ond different side
scalene triangles have all different sides
brainiest please
uhm second time? i dont know this question. what is
-1 + -1 = ?
pls help me
Answers
Answer:
- into + equals to -
so -1+ -1= -1 -1
Answer is -2
Step-by-step explanation: