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mezya [45]
2 years ago
14

Find the value of X. Please show/explain work, and sorry if it’s hard to read

Mathematics
1 answer:
aliya0001 [1]2 years ago
5 0

Answer:

x = 100°

Explanation:

The polygon has 6 sides, meaning it's a hexagon. In the picture you can see the following steps under #1:

(6-2) x 180° = 4 x 180 = 720°

720 is the total amount that all the angles should add up to, including the missing number x.

To solve for x add all of the angles up:

120 + 156 + 145 + (x + 9) + x + 90 = 720

520 + 2x = 720 (subtract 520 from both sides)

                 -520

          2x = 200 (divide 200 by 2 to have x on its own)

             x = 100°

To make sure it's correct, plug in the value (100°) for x in the original equation to check the answer:

120 + 156 + 145 + 100 + 9 + 100 + 90 = 720

720 = 720 Correct

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I need help............​
Alexxandr [17]

Problem 35

The bar graph is shown below

You simply draw various rectangles such that the heights represent the frequency of each animal type.

Eg: there are 20 elephants, so the "elephant" bar is 20 units tall.

You can make the bar graph by hand, or use spreadsheet software. I recommend going with software (if you can).

=======================================================

Problem 36

1 book = 20 mm thickness

5 books = 5*20 = 100 mm thickness

1 paper = 0.016 mm thickness

5 papers = 5*0.016 = 0.08 mm thickness

total thickness = 100+0.08 = 100.08 mm

<h3>Answer: 100.08 mm</h3>

=======================================================

Problem 37

121/11 = 11

121 = 11*11

If we say 11+11+11+...+11, and have 11 copies of these values added, then we get to a sum of 121

This is probably the easiest way to get the answer assuming repeated values are allowed.

You can stop here if your teacher allows you to use repeated values. If not, then move onto the next section.

-----------

If your teacher requires you to add 11 <u>different</u> numbers, then you can follow this procedure

  1. Write out eleven copies of "11" in a sequence
  2. Subtract 2 from the first "11" (to get 9) and add it to the last copy of "11" (to get 13)
  3. Subtract 4 from the second "11" (to get 7) and add it to the second to last copy of "11" (to get 15)
  4. Subtract 6 from the third "11" (to get 5) and add it to the third to last copy of "11" (to get 17)
  5. Subtract 8 from the fourth "11" (to get 3) and add it to the fourth to last copy of "11" (to get 19)
  6. Finally, subtract 10 from the fifth "11" (to get 1) and add it to the fifth to last copy of "11" (to get 21)

After carefully following those steps, you'll get this sequence (in the exact order shown):

{9, 7, 5, 3, 1, 11, 21, 19, 17, 15, 13}

There are three properties to notice of this sequence

  1. It's composed of two decreasing arithmetic sequences {9, 7, 5, 3, 1} and {21, 19, 17, 15, 13}
  2. The 11 in the middle hasn't been changed from the original sequence of nothing but "11"s.
  3. You should find that the terms of this new sequence add to 121.

That sequence we got sorts to {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21}

and we can say 1+3+5+7+9+11+13+15+17+19+21 = 121

<h3>Answer: 1+3+5+7+9+11+13+15+17+19+21 = 121</h3>

5 0
2 years ago
What is the justification for each step in the solution of the equation?
Marrrta [24]
4(4x + 6) - 7 = 77 - 4x......distribute thru the parenthesis
16x + 24 - 7 = 77 - 4x ...simplify
16x + 17 = 77 - 4x ...addition property of equality....add 4x to both sides
16x + 4x + 17 = 77 ...subtraction property ...subtract 17 from both sides
16x + 4x = 77 - 17...combine like terms
20x = 60 ....division property....divide both sides by 20
x = 60/20
x = 3
7 0
3 years ago
Read 2 more answers
What is the product? - 2 5 5 [42] 7 22 18 ( 22 18 1 18​
AysviL [449]

Answer:

the answer is D.

Step-by-step explanation:

multiply each row in the first matrix by each column in the second matrix.

[4*-2+2*7 4*5+2*-1]

simplify each element of the matrix by multiplying out all the expressions.

[6 18]

this matrix is already in the most simplified form.

[6 18]

3 0
2 years ago
Callie has 6 yards of green fabric and 4 yards of white fabric.
DedPeter [7]

Answer:

16 feet left

Step-by-step explanation:

one yard = 3 feet

so:

6 yards = 18 feet

24 inches = 2 feet

18 feet - 2 feet = 16 feet

7 0
3 years ago
What is the value of x?
Alex_Xolod [135]

Answer:

x=4

Step-by-step explanation:

ABCD is a rectangle, so AD and BC are parallel. Thus, The angle complementary to 6x+19 is 47.

6x+19+47=90

6x+66=90

6x=24

x=4

7 0
3 years ago
Read 2 more answers
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