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andrezito [222]
3 years ago
6

The measures of all of the interior angles of a triangle are in the extended ratio 1 : 2 : 3. The value of the smallest angle is

Mathematics
1 answer:
jarptica [38.1K]3 years ago
7 0
The sum of the interior angles of a triangle is 180°.

Let's suppose that all 3 angles in the ratio are divisible by a value x.

So the three angles become 1x, 2x and 3x.

1x + 2x + 3x = 180°

6x = 180°

x = 30° [ By dividing both sides by 6 ]

Thus the three angles are: 1x = 30° ; 2x = 2*30 = 60° ; 3x = 3*x = 90°

Hence the smallest angle is 30°.
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Find the value of x and each angle if m angle SOP= (7y-2) and m angle SOR = (5y+14)
Semmy [17]

Answer:

x = 14

m∠SOP = (7x - 2)° = 96°

m∠SOR = (5x + 14) = 84°

Step-by-step explanation:

`From the given picture,

Angle SOP and angle SOR are the linear pairs.

Therefore, sum of these angles will be equal to to 180°.

m∠SOP + m∠SOR = 180° -----(1)

Since, m∠SOP = (7x - 2)° and m∠SOR = (5x + 14)°

[There is a misprint in this question. There should be x in place of y in the measures of the angles]

By substituting these values in the equation (1),

(7x - 2) + (5x + 14) = 180

12x + 12 = 180

12x = 180 - 12

12x = 168

x = \frac{168}{12}

x = 14

m∠SOP = (7x - 2)° = 96°

m∠SOR = (5x + 14) = 84°

5 0
3 years ago
The area of a square is 50 meters. how long is each side? round your answer to the nearest meter.
DanielleElmas [232]
The closest would be 7
7x7 is 49 and that is the closest
8 0
3 years ago
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A rectangle has a length of 6cm by 8cm. Which is the length of a diagonal of the rectangle?
balandron [24]
A,10 cm if you like this answer explained to you let me know
7 0
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206 - Straight lines graph 1 what are the answers?
insens350 [35]

Answer:

how r we supposed to help if u dont have the picture

Step-by-step explanation:

7 0
3 years ago
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30 points!
Andru [333]

Answer:

1. B

2. B

Step-by-step explanation:

1. Three points are collinear if they lie on the same line. The diagram shows two triples of points that lie on the same line:

  • points B, C and D;
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Thus, option B is true.

2. Another way to name the plane is to select three points which do not lie on the same line and write them consequently. As you can see from the diagram, points B, F and D lie on the plane M, but do not lie on the same line. Thus, another way to name plane M is BFD.

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3 years ago
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