A dilation with scale factor 0.25 is performed on triangle 1 to produce triangle 2. Which statement MUST be true about the two triangles?


O Their corresponding sides have equal lengths, and their corresponding angles have equal measures.
• Their corresponding sides are parallel, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.
O Their corresponding sides are parallel, and their corresponding angles have equal measures.
O Their corresponding sides have equal lengths, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.

Answers

Answer 1

The correct statement is their corresponding sides have equal lengths, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.

What is property of similar triangle?

If the corresponding sides of two triangles have the same ratio and the corresponding angles are equal, then the triangles are similar.

They have parallel corresponding sides, and they have angles with the same measure.

hence, the correct statement is their corresponding sides have equal lengths, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.

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Related Questions

state: how heavy a load (in pounds) is needed to pull apart pieces of douglas fir 4 inches long and 1.5 inches square? data from students doing a laboratory exercise are given.

Answers

The range of the confidence interval for the mean load needed to separate the wood is (29,485.192 , 32,114.8).

Define confidence interval.

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. The size of a 90% confidence interval for a given estimate is one way to gauge how "excellent" it is; the greater the interval, the more care must be used when utilizing the estimate. Confidence intervals serve as a crucial reminder of the estimates' limits.

Given,

Data set: (33190, 31860, 32590, 26520, 33280, 32320, 33020, 32030, 30460, 32700, 23040, 30930, 32720, 33650, 32340, 24050, 30170, 28730, 31920)

The normal distribution's standard deviation, s = 3000 pounds

95% confidence interval

N = 20 observations were made.

Mean = 30,800

Margin of error :

z₇ × √3000².20

±1.314.8079

Confidence interval

= Mean + Margin of error

= 30,800 ±1.314.8079

= 29,485.192 , 32,114.8

The range of the confidence interval for the mean load needed to separate the wood is (29,485.192 , 32,114.8).

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Please help !!! I don’t understand 25 points !

Answers

Answer: Triangle VUT:

84:70:42

Triangle RSQ:

30:25:15

Final simplified answer: 2.8:2.8:2.8

Scale factor of 2.8

Step-by-step explanation:

Each triangle's sides are a part of the ratio, then you divide each side by the corresponding one (84 by 30, and 70 by 25) to get your scale factor.

Can you find the measure of the indicated angle and type the correct code? Please remember to type in ALL CAPS with no spaces,

Answers

Answer:

hey I need this answer and puzzle 4 and 5 you got these things?

Step-by-step explanation:

please

The measure of angles A, B , C and D°are 36°, 63°, 71° and 111° respectively

How to determine the measure of the indicated angle?

To find the measure of angles of A, B, C and D, you need to apply some of the angle geometry concepts as follows:

1. m<A

(x+24)° and A = 3x

Since alternate angles are equal, thus:

3x° = (x+24)°

3x -x = 24

2x = 24

x =24/2 = 12

Also, A = 3x = 3(12) = 36°

2. m<B

B = 10x-27 and 7x

Since corresponding angles are equal, thus:

10x -27 = 7x

10x -7x = 27

3x = 27

x = 27/3 = 9

Also, B = 10x -27 = 10(9) -27 = 90-27 = 63°

3. m<C

C = (5x+1)° and (6x-13)°

Since corresponding angles are equal, thus:

(5x+1)° =  (6x-13)°

6x -5x = 13+1

x = 14

Also, C = 5x+1  = 5(14) + 1 = 70+1 = 71°

4. m<D

(6x+3)° and D = (4x+39)°

Since alternate angles are equal, thus:

6x+3 = 4x+39

6x-4x = 39-3

2x=36

x = 36/2 =18

Also, D = 4x+39 = 4(18) + 39 = 72+39 = 111°

Therefore, the m<A = 36°, m<B = 63°, m<C = 71° and m<D =111°. Since B, A,  H and E correspond to m<A, m<B, m<C and m<D respectively, so type BAHE in the answer box

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i need help like immediately
1/4 (8x+4)=2x-4

Answers

Answer: the statement is false

Step-by-step explanation:

1/4*8=2 -> 1/4*4=1
So the left side equals 2x+1
The multiply by the reciprocal (2x+1)*(2x-1)

(2x+1)*(2x-1) = 2x-4

need halp with the ques answer pls

Answers

The value of A rounded to the nearest hundredth is 0 and the value of A rounded to the nearest tenth is 10

From the given number line

The value of A = 7.51

The number line is defined as the straight line that consist of integers in equal intervals. We can also says that the number line is the pictorial representation of numbers on a horizontal line.

The rounding of a number is defined as a number is make it simple by keeping its value intact but closer to the next number. The closer to tenth, hundredth, thousand etc.

The value of A = 7.51

Rounding the rounder to nearest tenth = 10

Rounding the number to nearest hundredth = 0

Hence, the value of A rounded to the nearest hundredth is 0 and the value of A rounded to the nearest tenth is 10.

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A school had 1 200 students last year and only 1 080 students this year.
What was the percent decrease in the number of students?

Answers

Answer:The percentage decrease in the number of students​ is -10%.

Given that,

The school has 1,200 students last year.

And, this year it is 1,080.

Based on the above information, the calculation is as follows:

Therefore we can conclude that the percentage decrease in the number of students​ is -10%.

Step-by-step explanation: noice

According to a report for veterinarians in the united states, 36. 5 percent of households in the united states own dogs and 30. 4 percent of households in the united states own cats. If one household in the united states is selected at random, what is the probability that the selected household will own a dog or a cat?.

Answers

thanks for this information but unfortunately do not know the answer to this

What is the y-intercept for x^3+8x^2+11x-20? How many zeros are their in the graph?

Answers

The y-intercept is (0,-20)

John climbs a cliff that is 128 feet high in 16 minutes. What is his average rate of ascent?

Answers

Ratios and Proportions? I legit took that last week
The answer is : 8 ft min

I took the test

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select three options.

y = –Two-fifthsx – 2
2x + 5y = −10
2x − 5y = −10
y + 4 = –Two-fifths(x – 5)
y – 4 = Five-halves(x + 5)

Answers

The equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4) is y = (-2/5)x + 2

The given equation of the line is

5x - 2y = -6

Ax + By = C1

Bx - Ay = C2

are perpendicular.

Then the perpendicular to the line 5x - 2y = -6 is 2x + 5y = C2

We have to find the value of C2

The line is passing through the point (5, -4)

Substitute the values in the equation and find the value of C2

2(5) + 5(-4) = C2

C2 = 10 -20

= -10

The equation will be 2x + 5y = -10

Rearrange the terms and make it slope intercept form

2x + 5y = -10

5y = -10 -2x

5y = -2x - 10

y = (-2/5)x - 2

Hence,  equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4) is y = (-2/5)x + 2

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Logan just became a personal trainer and is finalizing his pricing plans. One plan is to charge $18 for the initial consultation and then $88 per session. Another plan is to charge $39 for the consultation and $87 per session. Logan realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that?

Answers

Answer: The 2 Plan will have same cost of $2149 after 64 sessions.

Let the Two plan be Plan A and Plan B.

Also let the number of session be

According to given detail

Plan A =

Plan B =

We need to find the value of when both are equal.

Plan A = Plan B

=

Solving above equation we get;

Number of session are 64.

Cost after 64 session will be,

Plan A =

Plan B =

Hence The 2 Plan will have same cost of $2149 after 64 sessions.

Step-by-step explanation:

0
O
13. Choose whether the slope of the line is positive, negative, zero, or undefined.
undefined
zero
negative
positive

Answers

The slope of the line is Positive

What is the Slope of a line:

The slope of a line is the rate of change of rising of the line and it is also defined as the steepness of the line. Slope of the line is denoted by “m.”

The slope of the line at different positions:  

When we go from left to right on the graph if the line moves up then the slope of the line will be positive  

When the line is parallel to the Horizontal axis i.e x-axis then the slope of the line will be zero  

The slope of a line or the slope of the y-axis, that is parallel to the y-axis is undefined

From the given picture,

We can say that from left to right the given line is moving upwards

Therefore

From the above observation slope of the line is Positive

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it was 5 degrees above zero in the morning. By afternoon the temperature rose 27 degrees. How warm was it?

Answers

It was 33 degrees warm in the afternoon

How to determine how warm it was?

From the question, we have the following parameters that can be used in our computation:

In the morning = 5 degrees above zero

Afternoon = Rise of 27 degrees

The degree of warmth in the afternoon is then calculated as

Degree of warmth = Temperature In the morning + Rise of the temperature

Substitute the known values in the above equation, so, we have the following representation

Degree of warmth = 5 + 27

Evaluate the sum

Degree of warmth = 33

Hence, the temperature is 33 degrees

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solve the inequality 2b + 5 <_ 30

Answers

The solution of the inequality 2b + 5 ≤ 30 is b ≤ 12.5

What are inequalities?

Inequalities refers to some type of equations where the relationship between the left hand side and the right hand side of an equation is expressed in terms of symbols other than equal to

The symbols include

less thangreater thanless than or equal to greater than or equal to

In the problem given the symbol used is less than or equal to and the equation is solved by

2b + 5 ≤ 30

2b + 5 - 5 ≤ 30 - 5

2b ≤ 25

dividing through by 2

2b / 2 ≤ 30 / 2

b ≤ 12.5

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Y+2=1/4 x in standard form

Answers

Answer:

-[tex]\frac{1}{4}x[/tex] + y = -2

Step-by-step explanation:

Standard form: Ax + By = C

y + 2 = [tex]\frac{1}{4} x[/tex]

Rearrange terms:

1. Subtract 2 from both sides

y =  [tex]\frac{1}{4} x[/tex] - 2

2. Subtract  [tex]\frac{1}{4} x[/tex] from both sides

-[tex]\frac{1}{4}x[/tex] + y = -2

Tyler bought a bowling ball for $80. Sales tax is 7%. What is the total cost of the bowling ball?

Answers

Answer:

Step-by-step explanation:

first multiply
80* 7% you can also do it as 80* (7/100)
=5.6
then,

add 80 and the ans of 80* (7/100)

80+5.6= 85.6

which multiplication table have 8 and 50

Answers

Answer:2

Step-by-step explanation:

2*4=8

2*25=50

A store manager instructs some new trainees that a barbecue grill priced at $700 winds up costing a customer $714 once the sales tax is included. What is the sales tax percentage?


Write your answer using a percent sign (%).

Answers

Answer:

0.02 or 2%

Step-by-step explanation:

$700(x)=$714

$700(0.02)=14

700+14=714

(12x)^1/2 in radical form

Answers

Answer: [tex]\sqrt{12x}[/tex]

Step-by-step explanation:


Consider the line y=-3/4x-9.
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 2).
Find the equation of the line that is parallel to this line and passes through the point (-4, 2).
Equation of perpendicular line:
Equation of parallel line:

Answers

Answer:

Equation of Perpendicular Line: 4x-3y=22

Equation of parallel line:3x+4y+4=

Solve for the value of v.
123°
(2v+1)°

Answers

Step-by-step explanation:

the angles between 2 intersecting lines must be the same on both sides of either line, they are just left-right mirrored.

so,

123 = 2v + 1

2v = 122

v = 61

b According to estimates, there are over 300 million people living in the Unite
States. How many Neyland Stadiums would it take to hold 300 million people

Answers

Answer:

it would take 3,000 neyland stadiums to take 300milion people is rounded i hope this helps

Step-by-step explanation:

a cashier cannot tell the difference between cilantro and parsley. customers would only buy either cilantro or parsley. he knows that 20% of his customers prefer parsley. these customers will buy parsley 40% of the time when shopping. otherwise, they wouldn't buy either herb. 40% of his customers prefer cilantro and will buy cilantro 15% of the time when shopping. otherwise, they wouldn't buy either herb. the other 40% of his customers don't prefer, and thus don't buy, either herb. given the next customer buys one of the two herbs, what is the probability it is parsley?

Answers

Probability that customer buy parsley given buy any of two herb  

                =   0.5714

What is probability in math?

Probability refers to potential. The subject of this area of mathematics is the occurrence of random events.The range of the value is 0 to 1. To forecast how likely events are to occur, probability has been introduced in mathematics.

Parsley ( 0.4 , 0.6 )

buy  = B ∩ P = 0.08

Don't buy = DB ∩ P = 0.12

Cilantro = ( 0.15 , 0.85 )

buy  = B ∩ C = 0.06

Don't buy = DB ∩ C = 0.34

Don't buy anything = DB = 0.4

P( Buy anything ) = P(B∩P) + P( B ∩ C )

                          = 0.08 + 0.06 = 0.14

Now, P( P/B) = P( P ∩ B)/P(B)

                    = 0.08/0.14  = 4/7  = 0.5714

Hence, probability that customer buy parsley given buy any of two herb

                                          =   0.5714

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y= 3x + a / 2x -5
express x in terms of a and y

Answers

The equation y = 3x +a / 2x - 5 can be expressed in terms of a and y as x = (a - 5y) / (2y-3)

Given equation y = 3x + a / 2x - 5

= y(2x - 5) = 3x + a

= 2xy - 5y = 3x + a

= 2xy - 3x = a - 5y

= x(2y-3) = a - 5y

Hence, x = (a - 5y) / (2y - 3)

First, we will move the denominator 2x-5 and multiply it by y giving us 2xy-5y. Next, we will move all the terms which contain only a and y to one side and the rest remaining to another side, giving us 2xy - 3x = a - 5y. Since we need to express the equation in terms of x we take it as common from left-hand side of the equation and the remaining part we move to the right-hand side as the denominator. Hence we get our equation in terms of a and y as x = (a - 5y) / (2y - 3).

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A shopkeeper buys a dress for 40$ she sells it for 48$

Workout the percentage increase in the price of the dress.

Please help now

Answers

The answer for this question 83.33%

1 trillion = 1,000 billion
There are about 40 trillion cells in the human body.
Each cell consists of about 100 trillion atoms.
About how many atoms are there in the human body altogether?
Give your answer in standard form.

Answers

The number of atoms in standard form is 4 × 10²⁵ atoms

What is standard form?

Standard form is number written in the form a × 10ⁿ where 1 ≤ a < 10 and n is an integer

How to find how many atoms are there in the human body altogether in standard form?

Since there are about 40 trillion cells in the human body. and each cell consists of about 100 trillion atoms, we have that

40 trillion cells = 40 trillion × 1 cell

Also, 1 cell = 100 trillion atoms.

So, 40 trillion × 1 cell = 40 trillion × 100 trillion atoms.

Now, we know that 1 trillion = 1000 billion

So, Number of atoms =  40 trillion × 100 trillion atoms

=  40 × trillion × 100 × 1 trillion atoms.

= 40 × 1000 billion × 100 × 1000 billion atoms.

= 40 × 1000 × 100 × 1000 × 1 billion × 1 billion atoms.

We know that 1 billion = 1000000000

So,

= 40 × 1000 × 100 × 1000 × 1 billion × 1 billion atoms.

= 40 × 1000 × 100 × 1000 × 1000000000 × 1000000000 atoms

= 40000000000000000000000000

= 4 × 10000000000000000000000000

= 4 × 10²⁵ atoms

So, the number of atoms in standard form is 4 × 10²⁵ atoms

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Fahima buys
2 packets of bread rolls costing £1.50 for each packet
1 bottle of ketchup costing £1.60
3 packets of sausages
Fahima pays with a £10 note
she gets 30p change
fahmia works out that one packet of sausages costs £2.30

is fahima right?
you must show how you get you answer

Answers

Fahima is not right; one packet of sausages costs £1.70. See image for calculations.

A carpet installer measures three rectangular bedrooms for new carpeting how much carpet is needed for the three bedrooms bedroom a 3.1 m x 3.1 m bedroom be 2.9 m x 3.2 m bedroom c2.5 m x 3.4 m

Answers

The 27.4 m² of carpet is needed for three bedrooms.

Firstly we will calculate the area of each room.

Area of bedroom a = 3.1 × 3.1

Area of bedroom a = 9.61 m²

Area of bedroom b = 2.9 × 3.2

Performing multiplication on Right Hand Side of the equation

Area of bedroom b = 9.29 m²

Area of bedroom c = 2.5 × 3.4

Area of bedroom c = 8.5 m²

Total area of all the rooms = 9.61 + 9.29 + 8.5

Performing addition on Right Hand Side of the equation

Total area of all the rooms = 27.4 m²

Hence, 27.4 m² carpet is required for three bedrooms.

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One-third of a number decreased by six equals eight. What is the number?

Answers

Answer:

42

Step-by-step explanation:

6+8=14x3=42

42/3=14-6=8

solve for the variable in 7/26=25/x

Answers

Answer:

x = 650/7

Step-by-step explanation:

7/26 = 25/x

7*x = 25*26

7x = 650

x = 650/7

Check:

7/26 = 25/(650/7)

7/26 = 25*7/650

7/26 = 175/65

7*650 = 26*175 = 4550

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