9514 1404 393
Answer:
conditions for similarity are not violated by the transformation
Step-by-step explanation:
Dilation changes linear measures proportionally, and has no effect on angles. Rotation changes neither lengths nor angles. Hence the dilated, rotated triangle has the same angles as the original, and has proportional side lengths. Those are the requirements for figures to be similar, so the triangles are similar.
Answer:
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle
Explanation:
For shapes to be similar:
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides
2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles
3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image
4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced
5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)
6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position
Hope this helps :)
Jackie has $250 in her bank account and makes $25 every time she babysits. Write an expression in simplest form representing how much Jackie has in her account after babysitting t times
Answer:
250+25t=m
Step-by-step explanation:
t is the number of times she babysits and m is the amount of money overall.
3.
a) Find the HCF of 45 and 60
b) Find the LCM of 45 and 60
c) Multiply your answers to parts a and b together.
d) Multiply 45 and 60.
Answer:
a- 15
Step-by-step explanation:
Answer:
a.) 15
b.) 180
c.) 2700
d.) 2700
What is the solution to f(x)=g(x) ?
PLEASE HELP ME WILL GIVE BRAINLIEST!!!!!!
Answer:
B
Step-by-step explanation:
Only need to check m:
m^-6 / m^-2 = m^(-6 - -2) = m^-4 = 1 / m^4
Answer:
B
Step-by-step explanation:
What is the solution to x-4≤6?
Answer:
x - 4 _< 6
Step-by-step explanation:
In a lab, 100 cells are present at the beginning of an experiment. During the first 10 hours, the number of
cells increased by 28% each hour.
Answer:
100+0.28*100=100+28=128
Step-by-step explanation:
PLS HELP ME ILL GIVE BRAINLIEST, AND PLS EXPLAIN YOUR ANSWER<3
A field has an area of 9/20 square mile. Determine the width of the field if the length is 9/10 mile long.
Answer:
[tex] \huge \boxed{ \boxed{ \sf \: \frac{1}{2} }}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:fractionPEMDASequationgiven:area:[tex]\frac{9}{20}[/tex]length:[tex]\frac{9}{10}[/tex]to find:widthtips and formulas:area of a rectangle=l×wlet's solve:let width be w
according to the question
the equation is
[tex] \sf \frac{9}{10 } \times w = \frac{9}{20} [/tex]
let's figure out the equation
[tex] \tt \: divide \: both \: sides \: by \: \frac{9}{10} : \\ \sf\frac{9}{10} \div \frac{9}{10} \times w = \frac{9}{20} \div \frac{9}{10} [/tex][tex] \tt simplify : \\ \sf\frac{9}{10} \times \frac{10}{9} \times w = \frac{9}{10} \times \frac{10}{9} \\ \therefore \: \tt \: w = \frac{1}{2} [/tex]Which statement describes the graph
Answer:
Your answer is A
Step-by-step explanation:
I hope I helped :)
a baseball team wins 45% what fraction of the games do they win
Answer:
= 9/20
Step-by-step explanation:
45% = 45/100
= 0.45
= 0.45/1 × 100/100
= 45/100
= 9/20
The perimeter of a dance floor is 44 feet.
The length is 8 feet less than twice the width.
Let I=length and w=width.
0 21 + 2w = 44
1 = 2w - 8
21 + 2w = 44
w= 21 – 8
0 21 + 2w = 8
1 = 2w - 44
O 1 + w = 44
1 = 2w – 8
Answer:
Step-by-step explanation:
Not sure what the question is here.
L = W-8
Perimeter = 2L + 2W = 44
L+W = 22
(W-8)+ W = 22
W = 15 ft
L = 7 ft
Do anyone knows it? X x 5 x y
Answer:
it is 5xy........................
Answer:
so X x 5 x y
that would equal 5xy
hope this helped
Step-by-step explanation:
write an equation through the points (-3,7) and (1,-1)
The slope is -2.
The slope is the rise over the run. Because the line goes down from left to right, it makes the value negative. For every one the it moves to the right, the line goes down two units.
a pet store had 3 cats. if they wanted to split 17 ounces of cat food amongst them, how much should each cat get? please tell me how you got the answer. Thanks!
Answer:
A. 3/17
B. 5 1/3
C. 3/5
D. 17/3
Answer:
D. 17/3
Step-by-step explanation:
You would be dividing 17 by 3 or 17/3 (This is literally it just write the division problem).
Answer:3/17
Step-by-step explanation:
because if your doing fractions like 5th grade math what ever numbers is first like the top fraction so for examples tom had 5 cakes and blah blah 13 people the fraction would be 5/13 cakes
What is the Unknown number in proportion
Answer:
8*7/4=7x
56/4=7x
14=7x
x=2
Step-by-step explanation:
Joseph has $60 in a savings account. Each week he deposits $12 in the account.
SELECT ALL the expressions that represent the total amount in the account after x weeks.
a.12(5 + 1x)
b.12(5x + 1)
c.60 + 12x
d.6(10 + 2x)
e.60x + 12
f.6(10x + 2)
Answer:
12x +60
Step-by-step explanation:
c
d
What does "buying more house than you can afford" mean? Why shouldn't you do this?
Answer:
Basically it just means that you are trying to spend money that you don't have on things you don't need.
Step-by-step explanation:
Taken literally, you can live in a pretty small house and be content. You don;t need to spend tons of money to be happy. This can be a bad thing to do because you don't want to be in debt to anyone, especially when that could have been avoided.
1/1-cos x
+
1/1+cos x
Answer:
2 csc^2 x
Step-by-step explanation:
using a common denominator, that is
((1+cosx)+(1-cosx))/(1-cos^2c) = 2/sin^2x
Answer:
sin^2x
Step-by-step explanation:
(1+cosx)(1-cosx)
Difference of squares
1-cos^x
Pythagorean identity
sin^2x
Which graph can be used to find the solution to the system of equations below? 2x + y = -4 - 3y = 2x + 12 2 -4-3-2-1 -1 1 2 3 5 2. -5 3-2 1 2 1 2 3
Answer:
F
Step-by-step explanation:
2x+y = -4
put into slope-intercept form: y = -2x - 4
-3y = 2x+12
In slope-intercept form: y = -⅔x - 4
Both equations have a y-intercept of -4. There is only one graph where both lines pass through (0,-4).
The solution of the given system of equation is (0, -4). Therefore, option A is the correct answer.
The given system of equations are 2x+y=-4 and -3y=2x+12.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The system of equations can be solved as follows:
Here, 2x+y=-4 ----------(1)
-3y=2x+12 ----------(2)
From equation(1), y=-4-2x
Now, put y=-4-2x in equation (2) and simplify
That is, -3(-4-2x)=2x+12
⇒ 12+6x=2x+12
⇒ 4x=0
⇒ x=0
Substitute x=0 in equation (2), we get
-3y=12
⇒ y=-4
The solution of the given system of equation is (0, -4). Therefore, option A is the correct answer.
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
#SPJ2
How many unique codes are possibly formed from two characters, where the first character can be 5 to 8, and the second character can be B to D?
Answer:I think irs 3
Step-by-step explanation:
You know me triple og gone to pien
Is 3 1/2 cups more or less than 1 liter? Explain your reasoning. (Note: 1 cup ≈ 236.6 milliliters)
Answer:
no you need about 4.2 cups for a liter
Step-by-step explanation:
A triangle has two sides of lengths 7 and 9. What value could the length of the third side be? Check all that apply.
Answer:
A
B
C
E
Step-by-step explanation:
Answer: A, C, E, B I think im PRETTY sure im correct. Maybe 100% sure :)
Write and solve a proportion to answer the question. 3/4 is 75% of what number?
Answer:
so basically I think it is
¾ = 75%
x = (¾)/75% = (¾)/0.75 = 0.75/0.75 = 1
Step-by-step explanation:
if I am wrong I am so so very sorry
Latoya opened a savings account and made an initial deposit. After the initial deposit,she added money into the account each week. She added the same amount of money each week, and she did not make any withdrawals. After 4 weeks, she had $450 in her account. After 9 weeks, she had $825 in her account. How much money is Latoya adding to her account each week?
Answer:
Apologies, but you need to tell me the initial deposit amount in order to solve this.
Step-by-step explanation:
;-; mark brainliest to make you feel better
Answer:$50
Step-by-step explanation:
What single percentage change is equivalent to a 7% increase followed by a 22% increase
Answer:
Single increase rate = 29.47%
Step-by-step explanation:
Given:
First increase rate = 7%
Second increase rate = 21%
Find:
Single increase rate
Computation:
Assume number is a
So,
First increase rate = 7%
a + 7%
= 1.07a
Second increase rate = 21%
1.07a + 21%
1.2947a
So,
Single increase rate = 1.2947 - 1
Single increase rate = 0.2947
Single increase rate = 29.47%
Consider the system of linear equations shown here. x – 4y = -8 y = -X – 3 What is the solution to this system? How do you know?
Answer:
x = -4
y = 1
Step-by-step explanation:
For the "How do you know?" part, substitute the x and y values into one the original equations and check to see if it's true
For the sequence tn=n^2-2n,find the third term
Answer:
t₃ = 3
Step-by-step explanation:
To find the third term substitute n = 3 into the formula, that is
t₃ = 3² - 2(3) = 9 - 6 = 3
Answer:
tn=n^2-2n
n =3
t3 = 3^2 -2(3)
t3 = 9-6
t3 = 3
olivia's passcode has 4 digit The second digit to the left is 3 times the first (left most) digit tHe number formed by the last (right most ) 2 digits is three times the second digit to the left.the sum of the digits is 21. what is olivia's pass code
Answer:
3927
Step-by-step explanation:
This is the answer my teacher gave me, I promise.
The four-digit passcode is 3927 and this can be determined by using the given data and by using the hit and trial method.
Given :
Olivia's passcode has 4 digits. The second digit to the left is 3 times the first (left most) digit.The number formed by the last (right most) 2 digits is three times the second digit to the left.The sum of the digits is 21.Let the four digits passcode be 'abcd'. Then mathematical expression that represents "The second digit to the left is 3 times the first (left most) digit" is given below:
b = 3a --- (1)
The mathematical expression that represents "the sum of the digits is 21" is given below:
a + b + c + d = 21 --- (2)
So, let a = 3, then b = 9, and the last two digits are 27. So, the number becomes 3927.
For more information, refer to the link given below:
https://brainly.com/question/25277954
10° 70° 110° 170° are my choices
Answer: 70 sorry if wrong
Step-by-step explanation:
Answer:
70°
Step-by-step explanation:
Hi!
So, according to the verticle angle theorem:
[tex]2x+50=7x[/tex]
Now just solve this equation
Same to both sides:
[tex]50=5x[/tex]
[tex]x=10[/tex]
Plug in numbers to 2x+50
[tex]2(10)+50[/tex]
[tex]20+50\\70[/tex]
Joyce Mesnic bought an HP laptop computer at Staples for $699. Joyce made a $100 down payment and financed the
balance at 10% for 12 months. What is her monthly payment? (Round your answer to the nearest cent.)
We form three groups 1, 2 and 3 using 8 red balls and 18 blue balls such that (a) all balls must be used; (b) each group must have at least one red ball and one blue ball; (c) there are strictly more blue balls than red balls in each of the three groups. How many different combinations are there
Answer:
{b}
Step-by-step explanation: