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ddd [48]
1 year ago
14

Find the value of x.

Mathematics
1 answer:
Trava [24]1 year ago
3 0

Answer:

  x = 53

Step-by-step explanation:

The sum of the exterior angles of a convex polygon is always 360°.

  x +x +59 +48 +50 +39 +58 = 360

  2x +254 = 360 . . . . simplify

  x +127 = 180 . . . . . . divide by 2

  x = 53 . . . . . . . . . . . subtract 127

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The position of an object moving along a straight line for
NikAS [45]

Answer:

at 2/3 seconds

Step-by-step explanation:

S1(t) = t³ + 2

Average speed, dS1/dt = 3t²

S2(t) = t²

Average speed, dS2/dt = 2t

The distance between the objects is

dS1/dt - dS2/dt

= 3t² - 2t

The time the distance between the two object is at minimum is when the distance is 0

That is, when

3t² - 2t = 0

t(3t - 2) = 0

t = 0 or 3t - 2 = 0

t = 0 or t = 2/3

3 0
3 years ago
Part A If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? (Find the 8% tax then add it
dmitriy555 [2]

Answer:

Step-by-step explanation:

Tax

Meal plus tax = 25.3 + 8/100 * 25.3

Meal plus tax = 25.3 + 2.024             Round later. Find the total.

Meal plus tax = 27.324

Meal plus tax = 27.32 rounded to the nearest cent.

Tip

Total cost = 27.324 + 27.324 * 18 /100

Total cost = 4.91832 + 27.324

Total cost = 32.242

Rounded to nearest cent = 32.24     You should always round at the last step.

3 0
2 years ago
An equation is shown below:
mart [117]
Multiple 6 with numbers inside paranthesis:
12x - 66 + 15 = 21
add 66 fhen substrack 15 from both sides :
12x = 72 divide both sides with 12:
x = 6

5 0
2 years ago
Read 2 more answers
George and Riley are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges.
worty [1.4K]

The cost of small box of oranges is $7.

The cost of large box of oranges is $13.

<u>Step-by-step explanation:</u>

It is given that,

3 small boxes of oranges and 14 large boxes of oranges for a total of $203.

11 small boxes of oranges and 11 large boxes of oranges for a total of $220.

Let us take,

  • The cost of small box of oranges = x
  • The cost of large box of oranges = y

<u>The system of equations are framed as :</u>

3x + 14y = 203  ---------(1)

11x + 11y = 220  ---------(2)

<u>To solve these equations for x and y values :</u>

Multiply equation (1) by 11 and equation (2) by 3

Subtract eq(2) from eq(1),

 33x + 154y = 2233

- <u>(33x + 33y = 660)  </u>

  <u>        121 y = 1573  </u>

⇒ y = 1573 / 121

⇒ y = 13

∴ The cost of large box of oranges is $13.

Substitute y=13 in the eq(1),

⇒ 3x + 14(13) = 203

⇒ 3x + 182 = 203

⇒ 3x = 203 - 182

⇒ 3x = 21

⇒ x = 21 / 3

⇒ x = 7

∴ The cost of small box of oranges is $7.

<u />

7 0
2 years ago
Find the area of a square whose side is 4xy.​
ruslelena [56]

Step-by-step explanation:

Given,

Side of a square = 4xy

Therefore, area of the square = side × side

= 4xy × 4xy

16 {x}^{2}  {y}^{2} (ans)

6 0
2 years ago
Read 2 more answers
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