Kelsey uses the similarity statement Triangle R S T is similar to triangle R U V to describe the triangles below.

Triangle R U V. Side V R is 4 centimeters, R U is 1.5 centimeters, and V U is 2.7 centimeters. Triangle R S T. Side R S is 3.0 centimeters, R T is 8.0 centimeters, and S T is 5.4 centimeters.

Which best describes the accuracy of her statement?
Accurate. Each pair of sides corresponds with a common ratio of 2.
Accurate. The description of each triangle begins at the same vertex.
Inaccurate. In the order listed, the ratio between each pair of sides is different.
Inaccurate. The description of the triangles in the similarity statement moves clockwise in one triangle and counterclockwise in the other triangle.

Answers

Answer 1

Answer:

A

Accurate. Each pair of sides corresponds with a common ratio of 2.

Step-by-step explanation:

edge 2021

Answer 2

Each pair of sides corresponds with a common ratio of 2. The correct option is A.

What is the similarity?

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

If two figures have three sides similar then they will be similar by side-by-side property which is written as SSS.

Given that Triangle R U V. Side V R is 4 centimetres, R U is 1.5 centimetres, and V U is 2.7 centimetres. Triangle R S T. Side R S is 3.0 centimetres, R T is 8.0 centimetres, and S T is 5.4 centimetres.

The two triangles have a common ratio of 2.

R U = 1.5 cm

R S = 3.0 cm

V R = 4 cm

R T = 8.0 cm

The correct option is A.

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Related Questions

A boa is 3 meters long. A python is 197 centimeters long. Which snake is longer? + O boa O python How much longer cm​

Answers

Answer:

the boa is longer by 103 cm

Step-by-step explanation:

3 m = 300 cm

300 - 197 = 103

Answer:

the boa...

Step-by-step explanation:

convert meters to centimeters then compare the numbers.

Sophia went out to dinner at an Indian restaurant. The total bill was $54. She wanted to leave a 15% tip. What was her total bill including her tip?

Answers

Answer:

$62.10

Step-by-step explanation:

Answer:

The tip is 8.10

The bill is 62.10

Step-by-step explanation:

3. (03.01 MC)
Which expression is equivalent to 3(8 + 7)? (1 point)
24 + 7
24 + 21
11 + 10
11 + 7

Answers

24+21 is the answer

GOOD REVIEW IF BOTH OF THE ANSWERS ARE CORRECT

Answers

Answer for 1:

I don't know the actual answer, but for Forms, you can press ctrl + U and find the answers in the code

Answer for 2:

x = 28

Step-by-step explanation:

Since the overall angle is 90°, and we already have 33, we subtract 33 from 90

90 - 33 = 57

So we have to fill in the other 57°

2(28) = 56

56 + 1 = 57

So the answer is x = 28

need help answering this question

Answers

I believe it is the 3rd one

4a^2 - 8a = 24. I need help with this

Answers


The answer is a=3.646

Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 4(m∠Y) − 210°. Find m∠Y.

Answers

Answer:

angle Y= 60 degrees

Step-by-step explanation:

angle S + angle Y = 90 degrees because they are complementary

Y = 90 - S

angle S = 4(Y)-210

substitute for Y

S = 4(90 - S) - 210

S = 360 - 4S - 210

reduce

5S = 150

S = 30

Y = 90 - 30 = 60

HELP HELP HELP HELP IM GIVING BRAINLIEST

Answers

Answer:

A. 60 ft^2

Step-by-step explanation:

A=bh

The base is 12 and the height is 5

12*5=60

Answer:

A

Step-by-step explanation:

Emily the blacksmith blends one alloy of silver that is 45% silver and another that is 95% silver. To the nearest ton, how much of each alloy is needed to make 139 tons of a 70% silver alloy?

please answer​

Answers

Answer:

69.5 tons of Alloy 1 (of 45% silver) and 69.5 tons of Alloy 2 (of 95% silver) is needed to make 139 tons of 75% silver alloy

Step-by-step explanation:

Given

[tex]Alloy\ 1 = 45\%[/tex]

[tex]Alloy\ 2 = 95\%[/tex]

Required

How much of each alloy is needed for 70% silver alloy 139 tons

Let the amount of alloy 1 needed be x and the amount of 2 needed by y.

So:

[tex]x + y = 139[/tex]

Make y the subject

[tex]y = 139 - x[/tex]

The percentage of each needed is represented as:

[tex]45\% * x + 95\% * y = 139[/tex]

[tex]45\% * x + 95\% * y = 70\% * 139[/tex]

[tex]0.45x + 0.95y = 0.70 * 139[/tex]

[tex]0.45x + 0.95y = 97.3[/tex]

Substitute 139 - x for y in the above equations

[tex]0.45x + 0.95*(139-x) = 97.3[/tex]

[tex]0.45x + 0.95*139-0.95*x = 97.3[/tex]

[tex]0.45x + 132.05-0.95x = 97.3[/tex]

Collect Like Terms

[tex]0.45x -0.95x = 97.3-132.05[/tex]

[tex]-0.50x = -34.75[/tex]

Make x the subject

[tex]x = \frac{-34.75}{-0.50}[/tex]

[tex]x = 69.5[/tex]

Recall that:

[tex]y = 139 - x[/tex]

[tex]y = 139 - 69.5[/tex]

[tex]y = 69.5[/tex]

This implies that:

69.5 tons of Alloy 1 (of 45% silver) and 69.5 tons of Alloy 2 (of 95% silver) is needed to make 139 tons of 75% silver alloy

What do all Quadrilaterals have in common?

Answers

they have parallel lines and edges, both your answers are correct that you put

Answer:

The number of edges

Step-by-step explanation:

quad means 4 so all quadrilaterls have 4 sides.

How many 1/2 cups of juice are in 1 and 1/2 cups?

Answers

Answer:

there should be 3 half cups

Step-by-step explanation:

Please help meeeeeeeeee

Answers

Answer:

ojalá te ayude

Step-by-step explanation:

la primera

2 2/5

The frequency table shows the scores from rolling a dice.
Score
Frequency

Answers

Answer:

The median is 3.5

Step-by-step explanation:

We want to find the median of the set of values.

First, we need to write the set in ascending order.

We get:

1 five times

2 three times

3 five times

4 two times

5 seven times

6 four times

The median will be the midle value (for example in a set of 5 elements, the middle element is the third one) of this set, then the first part is to write the set, we get:

{1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6}

In this set we have

5 + 3 + 5+ 2  +7 + 4= 26 values

So we will not have a middle value, we need to take the mean of the two middle values (the 13th value and the 14th value)

We can see in the set above that these values are:

3 and 4.

Then we want to take the mean between 3 and 4.

We get:

M = (3 + 4)/2 = 3.5

The median of this set is 3.5

Which measure of spread is least affected by the long tail in the graph?

Answers

Answer:

Image result for Which measure of spread is least affected by the long tail in the graph?

IQR

Answer: The IQR is least affected by the long tail on the right of the graph. The IQR is the inter-quartile range. It is the length of the box in the middle of the graph. Having the long tail on the right does not affect the box.

Step-by-step explanation:

Wild Water Adventure Waterslides park charges a rental fee plus $2 per hour to rent inflatable rafts. The total cost to rent a raft for 4 hours is $12.50. Assume the relationship is linear. Find the rate of change and the initial value. Then move on to part 'b' to interpret each of them.​

Answers

Answer:

m = 2, initial value = 4.5 or $4.50

Step-by-step explanation:

We know that renting a raft costs 2 dollars/hr plus some rental fee that we need to find.

We also know that renting a raft for 4 hours will cost $12.50. So we can do this:

$12.50 - (2.00 [tex]\frac{dollars}{hrs}[/tex] × 4 hrs) = $4.50, which is the "b" in the standard equation for y = mx + b

So, our equation is y = 2x + 4.5

The rate of change is the slope, which is the coefficient of the x.

m = 2

Our initial value is when x = 0.

y = 2(0) + 4.5

y = 4.5

Chapter 6 Study Guide
Tickets for a school play cost $6 for adults and $4 for students. At the end of the play, the school sold a total of 60 tickets
and collected $360

Answers

Answer:

what is the question

Step-by-step explanation:

Peter lives in Utah, which has a 5% state income tax rate. He earns $3,700 monthly.
How much state income tax is withheld from each of his paychecks?

Answers

Answer:

ask Utah not me.........

Answer:

$185 is withheld

Step-by-step explanation:

3700 x .05 is 185.

HELP ASAP PLEASE!!!

An angle measures (5x + 13).
Part A
What is the measure of an angle that is vertical to the given angle?
Enter the correct answer in the box.
Hint

Answers

i’m pretty sure it would be (5x+13) because vertical angles are the same angles. hope it helps :)

What is the value of the expression x to the 2nd power minus (4 plus 3x) when x equal 8

A. 12
B. 36
C. 84
D. 92

Answers

The answer is B. 36. You substitute 8 for each x. So, 3x is 3 times 8 which is 24 and x^2 is 8 times 8 which is 64. Then you do order of operations to find the answer.

find the equation of a line that passes through (2 -3) and that is parallel to 5x+y=-2

Answers

Answer:

y = -5x +7

Step-by-step explanation:

You will have to change the equation to equal y.

y = -5x -2

Then find the paralell line which would be be the same slope but different equation so the answer should be: y = -5x + 7 by plugging in the numbers of the point. So -3 = -5(2) + x.

Solve for X,

-3 = -10 + x, add 10 to each side

7 = x

2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??

Solve it

Answers

Answer:

98

2+3=2*[3+(2-1)]=8

3+7=3*[7+(3-1)]=27

4+5=4*[5+(4-1)]=32

5+8=5*[8+(5-1)]=60

6+7=6*[7+(6-1)]=72

therefore

7+8=7*[8+(7-1)]=98

x+y=x[y+(x-1)]=x^2+xy-x

Answer:

2*3 + 3* 7 = 27

4*3 + 5* 4 = 32

....

7*6 + 8*7 = 98

or it could be :

2+3-1 = 5 -1 = 4 *2 = 8

3+7-1 = 10-1 = 9 *3 = 27

4+5-1 = 9-1 = 8 * 4 = 32

5+8-1 = 13-1 = 12 * 5 = 60

6+7-1 = 13-1 = 12 *6 = 72

7+8-1 = 15-1 = 14*7 = 98

Step-by-step explanation:

Calculate the perimeter and area of the following rectangles.
a. Length: 10 cm; Width: 8 cm
b. Length: 10 cm;
Perimeter
Area
Perimeter​

Answers

Answer:area=l×b

10×8=80cm* 2

perimeter =(l+b)2

10+8)*2

18×2

=36cm

Step-by-step explanation:

Answer:

read the explanation

Step-by-step explanation:

For A:

Perimeter is (10+8)*2=36

Area is 10*8=80

For B:

Perimeter is 10*4=40

Area is 10*10=100

what is 99 time 6
[tex]99 \times 6[/tex]

Answers

594 is the answer :)

Answer:

594

Step-by-step explanation:

1. Rita uses the rule of "Add 6" starting from zero. Mike uses the rule "Add 10" starting from zero. Select all of the true statements about the patterns.* A. In Mike's pattern, each number after zero is 4 more than the corresponding number in Rita's pattern O B. In Mike's pattern, each number after zero is more than the corresponding number in Rita's pattern. O C. Rita's and Mike's patterns do not have any of the same numbers. D. Neither pattern has any odd numbers for its output value. Help me please

Answers

Answer:

b and d

Step-by-step explanation:

3x^3-5x^2-5x-1=0
Zero of polynomials​

Answers

Answer:

Step-by-step explanation:

Wuh

Quik Call charges 18¢ per minute for long-distance calls. Econo Phone totals your phone usage each month and rounds the number of minutes up to the nearest 15 minutes. It then charges $7.90 per hour of phone usage, dividing this charge into 15-minute segments if you used less than a full hour. If your office makes 5 hours 3 minutes worth of calls this month using the company with the lower price, how much will these calls cost?

Answers

Answer:

158? I am not really sure because I am in fifth grade, but I think it may be correct.

A pole tilts at an angle of 9 degrees from vertical, away from the sun. The pole casts a shadow that is 24 feet long. The angle of elevation from the end of the pole’s shadow to the top of the pole is 53 degrees. How long is the pole?

Answers

Answer:

Step-by-step explanation:

180-53-(90-9)=46

sin53/p=sin46/24

p=24sin53/sin46

p=26.65ft

The length of the pole with the given shadown is 26.6 feet long.

Length of the pole

The height of the pole is determined from trignometry property of right triangle.

The shadow of the pole, vertical height formed by the pole and the length of the pole, will form a right triangle.

Let the base of the right triangle = 24 ftLet the base angle = 53⁰base angle of similar triangle = (90 - 53) + 9 = 46⁰

The length of the pole is calculated as follows;

L/sin53 = 24/sin46

L = (24 x sin53) / (sin 46)

L = 26.6 ft

Thus, the length of the pole with the given shadown is 26.6 feet long.

Learn more about angle of elevation here: https://brainly.com/question/25748640

The ratio of length and breadth of a rectangular playground is 3:2. There
is a two meter wide jogging track along and outside the playground. The
total area of the track and the playground is 2816 sq.m. Find the length
and breadth of the playground,​

Answers

Answer:

We know that the ratio of length and breadth of a rectangular playground is 3:2

Then if the length is L, and the breadth is B, we have the relationship:

L = (3/2)*B

Outside this playground, we have a jogging track of 2m, then if we also consider the jogging track the length and breadth are:

L' = L + 2m

B' = B + 2m

The area is the product between the area and the breadth, then the area is:

A = B'*L'

A = (L + 2m)*(B + 2m)

And remember that L = (3/2)*B

Then we get:

A =  ((3/2)*B + 2m)*(B + 2m)

And the area is 2816 m^2

Then we have:

A =  ((3/2)*B + 2m)*(B + 2m) = 2816 m^2

Now we can solve the equation:

((3/2)*B + 2m)*(B + 2m) = 2816 m^2

(3/2)*B^2 + 3m*B + 2m*B + 4m^2 = 2816 m^2

(3/2)*B^2 + 5m*B =  2816 m^2 - 4m^2 = 2812m^2

Then we can write:

(3/2)*B^2 + 5m*B -  2812m^2 = 0

We can solve this if we use Bhaskara's formula:

[tex]B = \frac{-(5m) +- \sqrt{(5m)^2 - 4*(3/2)*(-2812m^2)} }{2*(3/2)} = \frac{-5m +-130m}{3}[/tex]

One solution is negative, so we can discard that one, then we only take the positive:

B = (-5m + 130m)/3 = 41.67m

And L = (3/2)*B

L = (3/2)*40.7m = 62.5m

The breadth is 41.67 meters and the length is 62.5 meters.

What is the y-intercept of the equation of the line that is perpendicular to the line and passes through the point (15,-5)?

Answers

Answer:

hi

Step-by-step explanation:

First of all let’s find out the slope of the line y = x +10

As, we know the equation y= mx + c . So comparing the given equation with the general equation we get, m = 1

Now, we know that the product of two perpendicular lines is -1.

Thus, mn = -1 (considering slope of the second line as n)

Putting the value of m we get , n = -1

Now , y+5= -1( x -15) i.e y=-x + 10

if we compare again with the general equation then we find that.

The y intercept of the required equation is 10.

Thank You

Answer:

10

Step-by-step explanation:

First of all let’s find out the slope of the line y = x +10

As, we know the equation y= mx + c . So comparing the given equation with the general equation we get, m = 1

Now, we know that the product of two perpendicular lines is -1.

Thus, mn = -1 (considering slope of the second line as n)

Putting the value of m we get , n = -1

Now , y+5= -1( x -15) i.e y=-x + 10

if we compare again with the general equation then we find that.

The y intercept of the required equation is 10.

Thank You

Leon constructed a point P that divides the directed segment from A to B in the ratio 2 to 1. Chelsea

constructed a point that divides the directed segment from B to A In the ratio 1 to 2. How are points P

and Q related? Explain.

Points P and Q are (select) whpoint P is (select) vl of the distance from A to B.Point Q is

(select) of the distance from B to A. The means the points lie (select) location along the line

segment.

Answers

Answer:

The answer is below

Step-by-step explanation:

Leon constructed a point P that divides the directed segment from A to B in the ratio 2 to 1. Chelsea constructed a point Q that divides the directed segment from B to A in the ratio 1 to 2. How are points P and Q related? Explain.

Points P and Q are...

A.) two units apart. B.) the same point. C.) one unit apart.

Point P is ___ of the distance from A to B. [ A.) 2/3 B.) 1/2. C.) 1/3. ]

Point Q is of the distance from B to A. [ A.)1/3 B.). 1/2 C.)2/3. ]

The means the points lielocation along the line segment.

[ A.) At the same B.)At a different

Solution:

Since point P is divides the segment from A to B in the ratio 2 to 1 therefore:

P = 2/3 of the distance from A to B.

Since point Q is divides the segment from B to A in the ratio 1 to 2, therefore:

Q = 1/3 of the distance from B to A

2/3 of the distance from A to B = 1/3 of the distance from B to A

Therefore point P and point Q lie along the same line segment from A to B (or B to A) and the points P and Q are at the same point,

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