Decide if each statement correctly describes a relationship between the categories.
Choose Yes or No for each statement.

On solving the question, we can say that y using the given information we can prove that similar angle m ∠ABC = m ∠EDC.

Polygons' corresponding sides and corresponding angles are compared as part of the geometric tests for congruence and similarity. With care taken to maintain the order of adjacency, each side and each angle in one polygon is paired with a side or angle in the other polygon in these tests.

Given:

m ∠1 = m ∠2

m ∠2 = m ∠4

We have to prove that m ∠ABC = m ∠EDC

∠EDC = ∠3 + ∠4

m ∠ABC = m ∠1 + m ∠2

m ∠EDC = m ∠3 + m ∠4

m ∠1 + m ∠2 = m ∠3 + m ∠4      

m ∠ABC = m ∠EDC

Hence, by using the given information we can prove that  

m ∠ABC = m ∠EDC.

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Joey needs to score more than 540 points, to be higher than

70th percentile of all scores.

Percentile is defined as the value below which a given percentage falls under.  

Example: In a group of 20 children, Ben is the 4th tallest and 80% of the children are shorter than you. Hence, it means that Ben is at the 80th percentile.

The percentile formula determines the performance of a person over others. The percentile formula is used in finding where a student stands in the test compared to other candidates. A percentile is a number where a certain percentage of scores fall below the given number.

Given,

Scores of first 9 players:

230, 540, 420, 430, 540, 560, 275, 50, 250

let the score of joey be x.

Scores of all 10 players

230, 540, 420, 430, 540, 560, 275, 50, 250

Dataset in ascending order =

50, 230, 250, 275, 420, 430, 540, 540, 560

70th percentile of the dataset

k = 70

i = the index

n = total number of given data values = 10

i = k/100(n+1)

i = 70/100 (9+1)

i = 70 × 10/100

i = 7

The index of 70th percentile = 7

value of 70th percentile = value of data on index 7.

value of 70th percentile = 540.

Hence, To be higher than 70th percentile of all scores,

Joey should score more than 540.

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9514 1404 393

Answer:

  7/36

Step-by-step explanation:

It can be helpful to make a chart similar to the attached that lists all 36 possible outcomes from the roll of two dice.

You can see there are 4 ways to roll a sum of 5. There are 2 ways to roll a sum of 11, and 1 way to roll a sum of 12.

Getting a sum of 5, 11, or 12 on a roll of 2 dice can be achieved 4+2+1=7 of the 36 ways the dice can fall.

  P(5, 11, or 12) = 7/36

The given quadratic equation has two possible roots as -

{x} = -1/2 and {x} = 1.667.

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c

Given is the statement as -

"12 x squared minus 14 x equals 10"

The given function can be written as -

f(x) = 12x² - 14x - 10

Refer to the graph attached. The x - intercepts show the solution of the given quadratic equation. So, we can write -

(x + 1/2)(x - 1.667) = 0

(x + 1/2) = 0     and     (x - 1.667) = 0

x = -1/2     and      x = 1.667

Therefore, the given quadratic equation has two possible roots as -

{x} = -1/2 and {x} = 1.667.

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Answer:

Range: 19

Mean: 11

Median: 11

Mode: 3

Answer:

a. X is the number of DVDs a customer rents.

Step-by-step explanation:

The distribution states that:

0.05 = 5% probability a customer rents no DVDs

0.49 = 49% probability a customer rents 1 DVD

...

0.03 = 3% probability a customer rents 5 DVDs.

Thus, the random variable X is the number of DVDs a customer rents, and the correct answer is given by option A.

Answer:

1=90, 2=53,3=37, 4=53 As sum of angles in triangle 180°

Answer:

-7, then -13, then -19

Step-by-step explanation:

Plug in x values to get y.

y = -2(0) - 7

y = 0 - 7

y = -7

y = -2(3) - 7

y = -6 - 7

y = -13

y = -2(6) - 7

y = -12 - 7

y = -19

Hope this helps. :0)

Answer: 448

Step-by-step explanation: Parallelogram formula base times height

Answer:

3. 56.8 inches

4. 314.2 yards

5. 1809.6 meters

6. 265 centimeters

Answer:

78 cm³ of space is left inside the closet.

Step-by-step explanation:

Given that,

A closet is is 5 feet wide, 3 feet long, and 6 feet tall. A box with dimensions 2 ft × 3 ft × 2 ft is inside the closet.

We need to find the space is left inside the closet around the box.

Space left = volume of the closet - volume of the box

= 5×3×6 - 2×3×2

= 90 - 12

= 78 cm³

So, 78 cm³ of space is left inside the closet.

Answer:

d

Step-by-step explanation:

fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff

Answer:360°

Step-by-step explanation:

Answer: D:360

Step-by-step explanation:

The simplified form of the expression [tex]\sqrt[5]{1215}[/tex] is [tex]3\sqrt[5]{5}[/tex].

We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,

The other type of radicals are indices where a number is raised to such power that is greater than one.

Given, A radical [tex]\sqrt[5]{1215}[/tex].

Now we'll prime factor 1215.

= [tex]\sqrt[5]{5\times243}[/tex]

= [tex]\sqrt[5]{5\times3\times81}[/tex].

= [tex]\sqrt[5]{5\times3\times3\times3\times3\times3}[/tex].

= [tex]3\sqrt[5]{5}[/tex].

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Answer: $1794.28

Step-by-step explanation:

280*5.95= 1666

0.077*1666= 128.282

1666+128.282= 1794.282

We round cause its money

Answer:

c = 90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Using the Pythagorean theorem, a^2 + b^2 = c^2

54^2 + 72^2 = 8100

c^2 = 8100

[tex]\sqrt{8100}[/tex] = 90

90 = c

Answer:

6x + 18

Step-by-step explanation:

2(3х + 9)

6x + 18

2 * 3x = 6x

2 * 9 = 18

Answer:

hey i can help if you want it

Step-by-step explanation:

Answer:

137 - 48 = 89, so she climbed 89

Step-by-step explanation:

Answer:

(y-5) ÷ 2

Step-by-step explanation:

Answer: D

Step-by-step explanation: x is a variable, and so is the number of tractors he sells. he is going to get paid $1000 for sure each month.

So 150x(the number of tractors) + 1000(his pay each month)

Answer:

point A

Step-by-step explanation:

The three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4  and the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.

What is ratio?

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

First we have to write the equivalent ratios for 75%.

Since, 75% can be written as,

75/100

Simplifying this, 15/20

Again simplifying this, 3/4

Hence, the three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4.

Now to write the equivalent ratios for 100%.

Since, 100% can be written as,

100/100

Simplifying this, 20/20

Again simplifying this, 4/4

Hence, the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.

Therefore,  the three ratios that are equivalent to 75% are 75/100, 15/20 and 3/4  and the three ratios that are equivalent to 100% are 100/100, 20/20, and 4/4.

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Answer: 24

Step-by-step explanation:

24/3=8

Answer:

125 students

Step-by-step explanation:

according to this survey, she surveyed 80 people, and of the 80 people she surveyed, 25 of them said they like pop best

set up a proportion to find how many students will like pop if there are 400 students at her school:

25/80=x/400

80x=10000

x=125

125 students

Answer: 1/6

Step-by-step explanation: It was the first question on my quiz, hope it helped:)

The equivalent value of the expression [tex]36^{-(\frac{1}{2})[/tex] is, 1/6.

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression [tex]36^{-(\frac{1}{2})[/tex].

We know, 6×6 = 36 = 6².

Therefore, [tex]36^{-(\frac{1}{2})} = (6^2)^{-(\frac{1}{2})[/tex].

[tex](6^2)^{-(\frac{1}{2})} = (6)^{2\times{-(\frac{1}{2})[/tex].

= 6⁻¹.

= 1/6.

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