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CaHeK987 [17]
4 years ago
9

What is the value of x in the regular polygon below? A. 40 B. 120 C. 60 D. 150

Mathematics
1 answer:
Liono4ka [1.6K]4 years ago
4 0

Answer:

A

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6, thus

sum = 180° × 4 = 720°

Thus each interior angle = 720° ÷ 6 = 120° and therefore

3x = 120 ( divide both sides by 3 )

x = 40 → A

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- Let y represent the width of a rectangle and let x represent the rectangle's lengu.
valentina_108 [34]

Answer:

Length: 21 cm and Width:  6cm

Step-by-step explanation:

Let y be the width and x length of the rectangle. We know:

x = 4y -3 -------- eq. 1

54 = 2x + 2y    (Perimeter of the rectangle) ------- eq.  2

Substitute equation 1 in equation 2:

54 = 2(4y-3) + 2y\\54 = 8y - 6 + 2y\\54 + 6 = 8y + 2y\\60 = 10 y\\\\\frac{60}{10}= y\\y = 6

Using the value of y, we find x.

x = 4y - 3\\x = 4(6) -3\\x= 24 - 3\\x = 21

4 0
4 years ago
What’s the correct answer for this? Select the ones that apply
faust18 [17]
First one and third one are both corrects that answer to your question and plz mark me Brainly it
7 0
3 years ago
Find the value of x
balu736 [363]

Equals 180 because the exterior angle in question is equal to the sum of the other two angles in the triangle. In other words, the other two angles in the triangle (the ones that add up to form the exterior angle) must combine with the angle in the bottom right corner to make a 180 degree angle.

-----------------------------------

Add whole numbers.

2x + 1 + 37 + 118 = 180

Add whole number (if there is any).

2x + 38 +118 = 180

Subtract 156 from both sides to have one side have a variable.

2x + 156 = 180

     -156     -156

Divide both sides by 2 because you don't need the whole number with the variable.

2x = 24

---    ----

2       2

You get the answer as 12.

x = 12

Check:

2(12) + 1 + 37 + 118 = 180

24 + 1 + 37 + 118 = 180

25 + 37 + 118 = 180

62 + 118 = 180

180 = 180

6 0
3 years ago
Juan's pit crew was able to get his car back onto the racetrack 0.4 seconds faster than Paul's crew. Paul's crew took 1.3 second
9966 [12]

Answer:

6.7 seconds

Step-by-step explanation:

Juan= Paul-0.4

Paul=Terry+1.3

We can substitute Terry+1.3 for Paul since they are equal

juan=(Terry-0.4)+1.3

terry=5.8

juan=(5.8-0.4)+1.3

juan=6.7

4 0
3 years ago
What the percent of 126 is 12
ahrayia [7]
12 is 9.52380952381% of 126
5 0
3 years ago
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