Geometric proof. Please help! Mark brainliest

Answer:

The dilation factor of the width is 3/4

The dilation factor of the length is 10/13

The standard court and the modified court are not similar

Step-by-step explanation:

The given dimension of a tennis courts are given as follows;

The width of the standard tennis court = 36 ft.

The length of the standard tennis court = 78 ft.

The height of the  net of the standard tennis court = 3 ft.

The width of the modified tennis court = 27 ft.

The length of the modified tennis court = 60 ft.

The height of the  net of the standard tennis court = 3 ft.

The dilation factor of the width = (Modified court width)/(Standard court width)

∴ The dilation factor of the width = (27 ft.)/(36 ft.) = 3/4

Therefore, the width of the modified court = 3/4 × The width of the standard court

∴ The dilation factor of the length = (60 ft.)/(78 ft.) = 10/13

Therefore, the length of the modified court = 10/13 × The length of the standard court

The dilation factor for the width is different from the dilation factor for the length and the net of both courts are of equal dimension, therefore, based on similarity theorem, both courts are not similar.

Answer:

X = 41°

Step-by-step explanation:

[tex] \angle1 + \angle2 + \angle3 = 180 \degree [/tex]

[tex]Here \\ \angle1 = 105 \degree \\ \angle2 = ? \\ \angle3 = x[/tex]

[tex] \angle4 = 146 \degree[/tex]

[tex]here \: \angle2 + \angle4 = 180 \degree \\ \: (liner \: pair \: angle) degree\\ \angle2 + 146\degree = 180 \degree \\ \angle2 = 180 \degree - 146\degree \\ \angle2 = 34\degree[/tex]

[tex] \angle1 + \angle2 + \angle3 = 180 \degree \\ 105\degree + 34\degree + x = 180\degree \\ 139\degree + x = 180\degree \\ x = 180\degree - 149\degree \\ x = 41\degree[/tex]

Answer:

22 November

Step-by-step explanation:

First we have to find the total length she swims in 1 day

= 2(length of the swimming pool) x no. of lengths she swims in 1 day

=2x30x20

=120m she covers in 1 day

10km = 10,000m

no of days= total distance/ distance she covers in 1 day

=10000/120

=83.3 days

Answer:

9.11

Step-by-step explanation:

√83=9.110433579

round 9.110433579 to get 9.11

the answer is

1,23,34,000

Answer:

12,334,000

Step-by-step explanation:

Answer:

Blue balloons = 12

Step-by-step explanation:

Total no of balloons = 21

Let us assume that the ratio of blue balloons to green balloons is 4:3.

Let there are 4x blue balloons and 3x green balloons.

ATQ,

4x+3x = 21

7x = 21

x = 3

Blue balloons = 4x

= 4(3)

= 12

Hence, she will have 12 blue balloons at her party.

Answer: 8x + 6

Step-by-step explanation: Multiply the like terms. 4x times 2x is 8x, and 2 times 3 is 6. That equals 8x+6

Answer:

1 (5), 4(23), 5(29), 9(53).

Step-by-step explanation:

Well, I just plugged in the terms that looked like the inputs instead of x.

Answer:

-a + 15

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

3(a + 5) - 2(a + a)

Step 2: Simplify

Answer:

The correct option is;

A. 453

Step-by-step explanation:

The given numbers are not related by factors, because the factors of 779 are 1, 19, 41, and 779

Similarly the factors of 926 are 1, 2, 463, 926

Therefore, the numbers are related by direct association of each digit of the central number to each of the three numbers on the vertices of the triangle as follows;

For the first triangle, we have the numbers at the vertices are; at the top, 14, at the bottom left is 21, and at the bottom right is 36, we have;

Top number divided by 2 gives 14/2          [tex]{}[/tex]      = 7

Bottom left number divided by 3 gives 21/3   [tex]{}[/tex] = 7

Bottom right number divided by 4 gives 36/4 = 9

From which we have the number at the center which is 779

Similarly, for the second triangle, we have the numbers at the vertices are; at the top, 18, at the bottom left is 6, and at the bottom right is 24, we have;

Top number divided by 2 gives 18/2          [tex]{}[/tex]      = 9

Bottom left number divided by 3 gives 6/3   [tex]{}[/tex]  = 2

Bottom right number divided by 4 gives 24/4 = 6

From which we have the number at the center which is 962

Therefore, when we have, the numbers at the vertices as follows;

At the top, 8, at the bottom left is 15, and at the bottom right is 12, we have;

Top number divided by 2 gives 8/2          [tex]{}[/tex]      = 4

Bottom left number divided by 3 gives 15/3   [tex]{}[/tex] = 5

Bottom right number divided by 4 gives 12/4 = 3

From which we have the number at the center is 453.

Answer:

300 pickles

Step-by-step explanation:

9/3=3, 3*100=300

Answer:

11.1 repeating

Step-by-step explain

You would figure out that they have 3 pickles on each burger so do 100/9 and 11.1 repeating.

Answer:43

Step-by-step explanation:

-6+12 equals 6 and 40-3 equals 37

37 plus 6 equals 43

Answer:

43

Step-by-step explanation:

Answer:

one half

reduction  

Step-by-step explanation:

Answer:

n(A) = 6

Step-by-step explanation:

Let consider a set A = {a, m, b, d, h}. There are five elements in the set. The no of elements in a set is known its cardinality. Since set A has five elements, its cardinality number is 5. The cardinality of the set A is denoted by n(A).

Hence, from the given information:

The set A = {1, 2, 3, 4, 0, 7} have a cardinality number of 6

n(A) = 6

Answer:

11/12

Step-by-step explanation:

9/11 x 11/12 = (3 x 3)/11 x 11/(3 x 4) = 3/4

Answer:

You got the answer already but whatever

50.41 and 51.84

Step-by-step explanation:

Like you already have the answer up there.

Answer:

The correct answer is:

Matthew's rate is higher by $50 per month.

Step-by-step explanation:

We know that Christopher's rate is $550 per month.

To find Matthew's rate, we will treat the data we have as ordered pairs:

(3, 1800)

(6, 3600)

(9, 5400)

We find the slope of the line between these points.  The formula for slope is:

Using the first two points, we have:

To verify Matthew saves the same amount each month, we will find the slope between the second two points and make sure they're the same:

Matthew's rate is $600 per month.

This is higher than Christopher's by 600-550=$50 per month.

Answer:

x [tex]\geq[/tex] 1

Step-by-step explanation:

Answer:

x > 1

the > should have a line under it

Answer:

1 3/4 pounds.

Step-by-step explanation:

4 1/2 = 4 2/4

4 2/4 - 2 3/4 = 1 3/4

Answer:

1 [tex]\frac{3}{4}[/tex] pounds of sand is left in the bucket

Step-by-step explanation:

4.5 - 2.75 = 1.75 or 1 3/4

Answer:

sprint outta there and dont look back

Step-by-step explanation:

Hi I just want points

Step-by-step explanation:

Answer:

9-pack of hot dogs for $3.61

Answer:

Step-by-step explanation:

This is a question on the unit price. The better buy is the lower unit price. But that only works if you have 8 people to share the dogs with.

2 dogs cost 0.81

1 dog is 0.81/2 = 0.405 which you should write as 0.41

9 dogs are 3.61

1 dog is 3.61/9 = 0.401 what you (again) should be 0.41

Ever so marginally, you should pick the 2 dogs if there are only 2 people and 9 dogs if you are buying for a baseball team.

Answer:

3 sides     180 degrees total

4 sides      180(4-2)

5 sides       180(5-2)

Step-by-step explanation:

n sides angle sum is 180(n-2)

21 sides angle sum is 180(21-2) = 180*19 = 3420

each angle in a regular 21-gon will be           3420/21 = 162.8571429 degrees  (apprrox)

external angle = 360 - 162.8571429 =  197.1428571degrees = 197 degrees 8 minutes and 34.29 seconds approximately

Answer:

Step-by-step explanation:

The distance between Turkey and Harrison is:

Halfway is:

Distance to halfway from current point with sign:

Answer:

pretty sure it would be 42 degrees. angle 3 and 7 would have the same value as well

Step-by-step explanation:

Answer:

42 degrees

Step-by-step explanation:

<4 is congruent to where it already says 42 degrees

Answer: D. 3

Step-by-step explanation:

3 times 3 equals 9 so the answer is 3

Answer:

The answer is 3.

Step-by-step explanation:

I took the quiz and got 100%

Answer:

Answer:

[tex]40m^{3}[/tex]

Step-by-step explanation:

Because of order of operations, you do exponent first. [tex](2m)^{3} =8m^{3}[/tex]. Lastly 8 multiplied by 5 is 40, so the answer is [tex]40m^{3}[/tex]