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Work Shown:

If line a is parallel to line b, then the alternate interior angles (4x-30) and (2x) are equal to one another.

Let's solve for x

4x-30 = 2x

4x-2x = 30

2x = 30

x = 30/2

x = 15

Answer: Answer is below mate!

Step-by-step explanation: Have a brilliant day-Lily ^_^

Answer:

A-> 30

B->36

C->81

Step-by-step explanation:

A:B:C

5x4 : 6x4

        4x6 : 9x6

new ratio

A : B : C

20 : 24

      24 : 54

54-20=34

34u->51

1u->1.50

A-> 20u ->1.50 x 20 = 30

B->24u -> 1.50 x 24 = 36

C-> 54u ->1.50 x 54 = 81

Answer:

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Step-by-step explanation:

(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥(っ◔◡◔)っ ♥ hi ♥

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°

We need to prove angle sum property.

What is angle sum property?

The sum of interior angles of a triangle is 180 degrees

Consider a ∆ABC, as shown in the figure below. To prove the above property of triangles, draw a line PQ parallel to the side BC of the given triangle

Since PQ is a straight line, it can be concluded that:

∠PAB + ∠BAC + ∠QAC = 180°  ………(1)

Since PQ||BC and AB, AC are transversals,

Therefore, ∠QAC = ∠ACB (a pair of alternate angle)

Also, ∠PAB = ∠CBA (a pair of alternate angle)

Substituting the value of ∠QAC and ∠PAB in equation (1),

∠ACB + ∠BAC + ∠CBA= 180°

Thus, the sum of the interior angles of a triangle is 180°.

To learn more about angle sum property click here: https://brainly.com/question/21364160

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Answer:

do your work and ask a teacher or parent for help to solve it and stop asking random strangers for the answer and learn how to do it. <3

Step-by-step explanation:

Answer: 260 minutes.

Step-by-step explanation:

This represents the ratio between the minutes he reads and the pages he reads: 40 : 52

The book Miguel is reading is 338 pages long. Miguel also reads 52 pages in 40 minutes. You can divide 338 by 52, which is equal to 6.5.

If it takes Miguel 40 minutes to read 52 pages, then we can multiply that by 6.5. 40 x 6.5 = 260.

In conclusion, it will take Miguel 260 minutes to read the entire book, or 4 hours and 20 minutes.

Answer:

260 minutes

Step-by-step explanation:

40:52

x:338

338*40=52x

13,520/52

260:338

Answer:

The mean is 31

The mode is In this case there is no mode

The median is 32

The range is 29

Answer: 8 cm

Step-by-step explanation: 3^2 = 9 So, 72/9 = 8

Answer:

0.15 = 3/20. 0.369= 369/1000.

Answer:

-68

Step-by-step explanation:

-28 + - 40 =

2 + 4 = 6

8 + 0 = 8 making

-68

hope this helped

here is your answer and some tips ☺️

Step-by-step explanation:

If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator. To do this, you need to find the least common multiple (LCM) of the two denominators.

Answer:

55

Step-by-step explanation:

add and subtract so it can be equivlant to the rectangle's area

9514 1404 393

Answer:

  $24,670.42

Step-by-step explanation:

Assuming interest is compounded, the account value is multiplied each year by (1 + 8.25%) = 1.0825. After 25 years, the account value is ...

  $3400·1.0825^25 = $24,670.42

Answer:

Graph Z or D

Step-by-step explanation:

Starts at 800 and goes up to around 4 and ends

Answer:

its Z

Step-by-step explanation:

Answer:

zero becouse the the fewest omout of time you can drop an egg without it breaking

Step-by-step explanation:

get owend brother!!!!!!!!

Answer:

24 rolls

Step-by-step explanation:

[tex]1\frac{1}{2} =\frac{3}{2}[/tex]

[tex]\frac{3}{2}[/tex] ×[tex]\frac{4}{1}[/tex] [tex]= \frac{12}{2}[/tex]

which is 6 cups of flour

rolls can be made with [tex]\frac{1}{4}[/tex] a cup of flour

[tex]6[/tex] × [tex]4[/tex] [tex]=24[/tex]

Answer: d=2

Step-by-step explanation:

Given

5+2d=9

Subtract 5 on both sides

5+2d-5=9-5

2d=4

Divide 2 on both sides

2d/2=4/2

d=2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = 40

Step-by-step explanation:

x + 100 +  x = 180 {Straight line angles}

2x   + 100 = 180      {subtract 100 from both sides}

         2x = 180 - 100

         2x = 80      {Divide both sides by 2)

           x = 80/2

          x = 40

Answer:

x=40

Step-by-step explanation:

2x+100=180

2x=180-100

2x=80

x=40

Answer:

50 students

Step-by-step explanation:

24% students in a clan were absent in a day .

Hence, the Percentage of students present is calculated as:.

= 100 % - 24 %

= 76%

From the question, we know that:

If 38 students were present ,what is the total strength in the clan

The total strength of the clan = Total number of students. This is calculated as:

76% × x = 38 students.

76/100 × x = 38

76x /100 = 38

Cross Multiply

76x = 38 × 100

x = 3800/76

x = 50 students

Answer:

i think 6 or 12 let me know which is correct

Step-by-step explanation:

The area of the shape in Step n is (n+1)²-2.

A recurring arrangement of numbers, forms, colours, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.

From the given pattern,

Area of the shape in step 1 is 2 square centimeter

Area of the shape in step 2 is 7 square centimeter

Area of the shape in step 3 is 14 square centimeter

Here, the pattern is 2²-2=2

3²-2=7

4²-2=14

so, the general form is (n+1)²-2

Therefore, the area of the shape in Step n is (n+1)²-2.

Learn more about the pattern here:

https://brainly.com/question/23136125.

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Answer:

38%

Step-by-step explanation:

since percent goes by 100 and there are 50 states you can double the 19 to get 38% of the states

Answer:

She has visited 38% of the states.

Step-by-step explanation:

19          x

-----  = --------

50.      100  

Answer:

11

Step-by-step explanation:

The absolute value of any positive number is the number itself, so 11 has 11 as an absolute value. Also, the absolute value of a negative number is its (positive) opposite, so also has 11 as an absolute value.

Answer:

Step-by-step explanation:

b hbbjnhbjjnh

Answer:

4/3x

Step-by-step explanation:

Answer:

the answer is 1/3

Step-by-step explanation:

Answer:

The distance between them is 230.65 miles

Step-by-step explanation:

Here we use the Cosine formula

[tex]a^2 = b^2 + c^2 - 2bc\ cos\ A\\\\a^2 = 200^2 + 300^2 - 2\times 200\times 300cos50^{\circ}\\\\= 40,000 + 90,000 - 120,000cos50^{\circ}\\\\= 130,000 - 120,000 \times 0.64\\\\= 130,000 - 76,800\\\\a^2= 53,200\\\\a = \sqrt{53,200} \\\\= 230.65\ miles\ per\ hour[/tex]

Now the distance for one hour is

= 230.65 ÷ 1

= 230.65 miles