triangle A' B' C' is the result of dilating ABC about point C by a scale factor of two. Determine whether each claim about the properties of A' B' C' and ABC is true or false
Answers
True because all properties are preserved under dilation from triangle ABC to A'B'C'.
We have given a triangle ABC is dilated by a factor of 2/3 , result triangle A'B'C'
We have to determine after dilation, the properties of triangle ABC and A'B'C' is true or false.
What is the transformation?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Dilation of a triangle are results in either decreases or increases in the corresponding length of the triangle, it depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of the triangle.
here scale factor is 2/3 so the corresponding sides of the triangle A'B'C' decreases.
So, the dilation of the triangle is not congruent but similar to the original triangle ABC
Therefore, the basic properties of triangles are preserved under the dilation of triangle by a scale factor.
To learn more about the transformation visit:
https://brainly.com/question/4289712
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Answer:
Step-by-step explanation:
The answer is FALSE for the first one AB and A'B' are on the same line.
and TRUE for the second one The measures of B and B' are equal.
Related Questions
I have ¾ of an hour to finish 6 homework assignments. How much time can I spend on each assignment?
Answers
Answer:
7.5 min for each assignment
Step-by-step explanation:
1 hour is 60 minutes, and there are four 15 minute intervals. So, if there are four intervals of 15 minutes that add up to 60, just take three of them and put them over four:
15 ⋅ 15⋅ 15/ 15⋅ 15 ⋅ 15 ⋅ 15= 45 /60
Or we could multiply one hour, or 60 minutes, by 3 /4 .
60 ⋅ 3/ 4 = 60 /1 ⋅ 3 /4 = 60 ⋅ 3/ 4 ⋅ 1 = 180 /4 =45
Three fourths of an hour is 45 minutes.
to find time for each assignment =45/6
7.5 min
The conversion rate for 135 Mexican pesos is 7 1/2 American dollars enter the amount of pesos you would get with 50 American dollars
Answers
Answer:
900
Step-by-step explanation:
135/7.5= x/50
cross multiply
7.5x=6750
x=900
6.667x135=900 Mexican pesos
What is -56 = - 8z because I don’t even know the answer
Answers
Answer:
z=7
Step-by-step explanation:
7 times (-8)=-56
hope this helps:)
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
In July, a new endoscopy and electrophysiological lab are opening up. It is projected 60 endoscopies and 5 EP studies will be performed daily. Based on preliminary work sampling to determine the time it will take to code these types of cases; it will take 5 minutes per endoscopy and 15 minutes per EP study. Calculate number of FTE needed to be hired to cover additional procedures per 7.5 hour day
Answers
Answer:
The number of FTE needed to be hired to cover the additional procedures per 7.5 day work is:
= 1.
Step-by-step explanation:
a) Data and Calculations:
Endoscopies EP Studies Total
Projected number of studies 60 5 65
Time in minutes for per study 5 15
Total time required (in minutes) 300 75 375
Full-time Employee (FTE) works 7.5-hour day or 450 minutes (7.5 * 60) per day.
b)The number of full-time employees (FTE) needed to be hired to cover the additional procedures per 7.5-day work is 1. The FTE has 450 minutes available for the additional procedures. She will only require 375 minutes. Therefore, she has extra (idle) time of 75 (450 - 375) minutes per workday.
For each value of y, determine whether it is a solution to 7y - 9 = -58
Answers
Answer:
The answer is -7.
Step-by-Step explanation:
DOES ANYONE KNOW HOW TO DO THIS AND IF SO I WILL GIVE YOU THE GROWN THING AND 31 POINTS PLS HELP meee
Answers
Answer:
-4,4
Step-by-step explanation:
A rectangular prism has a length of 9 in., a width of 4 in., and a height of 112 in.
The prism is filled with cubes that have edge lengths of 12 in.
How many cubes are needed to fill the rectangular prism?
Answers
Answer:
432
Step-by-step explanation:
Answer: 4032
Step-by-step explanation: 9x4x112 is 4032
i took the test and pls give brainiest
HELP! WILL GIVE BRANLIEST!
Answers
Answer:
Z = 80 degrees and X = 8 degrees
Step-by-step explanation:
The reason Z = 80 degrees is because a flat line always has a measure of 180 degrees.
I forget the term, but we know that 6x + 52 is equal to 100 due to some angle theorem. (Once again, I do not remember the term.)
We then subtract 52 from 100 to get the equation 6x = 48. Divide them both by 6 and you get X = 8!
Hope this helped!
If the measure lf 2 is 83, what is the measure of 3?
Answers
Answer: 97
Step-by-step explanation:
2 and 3 form a supplementary angel, so the sum of the angles should equal 180
1- “Dados provenientes de 2.783 homens e 5.018 mulheres maiores de 65 anos de idade da Pesquisa Nacional de Saúde dos Estados Unidos de 1990 determinaram a prevalência de atividade física regular, que naquele estudo foi definida como a participação em atividades físicas no tempo livre por três ou mais vezes por semana e por mais de 30 minutos nas últimas duas semanas. Com esses parâmetros os autores encontraram uma prevalência de atividade física regular de 37% no sexo masculino e 24% no sexo feminino.” Quantos idosos do sexo masculino e do sexo feminino praticam atividade física regular?
Answers
Answer:
no hable spanish
Step-by-step explanation:
Evaluate the expression when a = 6 and x = -3.
-a+7x
Answers
Apply the distributive property to create an equivalent expression. 6 ( a + 2 b + 3 c ) =
Answers
Answer: 6
Step-by-step explanation: a + 2b + 3 c = a + 2b + 3c
Find the total amount due on a loan of $650 at the annual simple interest rate 5% at the
end of 6 months
Answers
Answer:
$666.25
Step-by-step explanation:
Use the equation A = P(1 + rt)
P=16.25
$650+$16.25=666.25
Plz help me well mark brainliest if you are correct!!
Answers
Which of the following is equal to the expression listed below?
70+30
A.(10x7)(10x3)
B.10+(7x3)
C.(10+7)(10+3)
D.10(7+3)
Answers
help! the measure of XY = 140 find the measure of angle 0
Answers
Answer:
it's 140 ÷ 2 = 70
bcz the XY is a Inscribed angle
Which statement best describes the association?
A.
The data shows a negative association with a trend line of y = -2x + 3
B.
The data shows a negative association with a trend line of y = -2x – 3.
C.
The data shows a positive association with a trend line of y =
x
2
+ 3
D.
The data shows a positive association with a trend line of y = 2x – 3
Answers
Answer:
c the data shows positive associations with trend line
Find the value for x and y if x+(xy)^1/2+y=14 and x^2+xy+y^2=84
Answers
Answer:
[tex]xy = 4 [/tex]
Step-by-step explanation:
Taking the first equation , we have ,
[tex]\implies x + (xy)^{\frac{1}{2}} + y = 14 \\\\\implies x + \sqrt{xy}+ y = 14 \\\\\implies x + y = 14 -\sqrt{xy}\\\\\implies (x+y)^2 = (14-\sqrt{xy})^2 \\\\\implies x^2+y^2+2xy = 196 + xy -28\sqrt{xy} \\\\\implies x^2+y^2+xy = 196 - 28\sqrt{xy}[/tex]
Now according to second equation,
[tex]\\\\\implies 84 = x^2+xy+y^2 [/tex]
Plug on this value ,
[tex]\implies 84 = 196 -28\sqrt{xy}\\\\\implies -112 = -28\sqrt{xy}\\\\\implies \sqrt{xy}=\dfrac{112}{28}\\\\\implies \boxed{\boxed{ xy = 16 }}[/tex]
On substituting this value in terms of one variable of the equation you can get the values of x and y .
On the unit circle, an arc of length 2 subtends an angle, β. What is the radian measure of β?
Answers
Answer:
[tex](d)\ \beta = 2\ rad[/tex]
Step-by-step explanation:
Given
[tex]L =2[/tex] -- length of the arc
[tex]r = 1[/tex] --- radius of a unit circle
[tex]\beta =[/tex] the subtended angle
Required
Find [tex]\beta[/tex]
The length of an arc is:
[tex]L = r * \beta[/tex]
This gives:
[tex]2 = 1 * \beta[/tex]
[tex]2 = \beta[/tex]
Make [tex]\bets[/tex][tex]\beta[/tex] the subject
[tex]\beta = 2[/tex]
Hence:
[tex]\beta = 2\ rad[/tex]
Answer:
2rad
Step-by-step explanation:
for the student store, sienna bought six packs of apple juice at $3.20 per pack. she sells each juice box at $.75 each. if she sells all the juice boxes in one day, how much profit will she get from selling these apple juice?
Answers
Answer:
Her profit would be $1.30
What is a unique polygon?
Answers
Plz show work, NEED HELP FAST PLZ
Answers
Answer:
5. 4 6. 6
Step-by-step explanation:
Number 5
[tex]10-2\sqrt{9}[/tex]
[tex]2\sqrt{9}=6[/tex]
[tex]=10-6[/tex]
Subtract the numbers: 10 - 6 = 4
[tex]=4[/tex]
Number 6
[tex]70-\left(\sqrt[3]{64}\right)^3[/tex]
[tex]\left(\sqrt[3]{64}\right)^3=64[/tex]
[tex]=70-64[/tex]
Subtract the numbers: 70 - 64 = 6
[tex]=6[/tex]
6q + 8 = -9 - 76
a. 12
b. -12
c. 84
d. -84
Answers
Answer: the answer will be -15.5, but this number is not in the choices given, so I guess you made a mistake while writing the equation
Step-by-step explanation:
6q+8=-9-76
6q+8=-85 Subtract 8 from both sides
6q=-93 Divide both sides by 6
q=-15.5
Juan has had his model approved and is now able to start construction on it. The model is 3 feet and 5 inches tall. If the scale for the actual barn is 1 inch = 11 feet, how tall will his barn be?
Answers
Answer:
451 feet tall
Step-by-step explanation:
3*12=36
36+5=41
41*11= 451
Find the equation on the line
Use exact number
Y=_x+_
NEED ASAP PLEASE
Answers
Answer:
1.5x+3
Step-by-step explanation:
......
.
..........
What is the Volume of the cylinder? (no links pls!)
Answers
lol the answer is 3
Find the surface area of the regular pyramid to the nearest tenth
Answers
Answer:
668.17
Step-by-step explanation:
Please please i need help i will mark u brill
Answers
[tex] \bf\green{7.8 \times c + 3.4 = 19} \\ \\ \bf\red{7.8 \times 2 + 3.4 = 19} \\ \\ \blue{\bf{15.6 + 3.4 = 19}} \\ \\ \bf \red{\boxed{ \underline{\underline{\pink{ 19 = 19}}}}}[/tex]
Haha, very easy... :)
BRAINLIEST IF YOUR RIGHT THANKS
Answers
Answer:
[tex]1st \: = 16.3pints \: \\ 2nd \: = 23.7pints \\ \\ [/tex]
Given X=[b a 4 a], Y=[c d a b], and Z=[a c 16 b]. What is Y if x-2y=z?
Answers
Answer:
A
[2, -4, -6, -2]
Step-by-step explanation:
