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zheka24 [161]
3 years ago
12

The polygons below are similar. Find the value of x.

Mathematics
1 answer:
noname [10]3 years ago
3 0

Th answer is 16. Since sides BC and FG are the only ones given, you write it as 6/8 = 12/x. Cross multiply to get 6x and 96. Divide 96 by 6 to get 16

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One of the interior angles of a triangle is equal to 30°, and one of the exterior angles is equal to 40°. Find the remaining int
irina1246 [14]

Answer:

The remaining interior angles of this triangle are 140º and 10º

Step-by-step explanation:

The sum of the interior angles of a triangle is always 180º.

A triangle has 3 angles. In this problem, we have one of them, that i am going to call A1 = 30º.

The sum of a interior angle with it's respective exterior angle is also always 180º.

We have that one of the exterior angles is equal to 40°. So it's respective interior angle is

40º + A2 = 180º

A2 = 180º - 40º

A2 = 140º

Now we have two interior angles, and we know that the sum of the 3 interior angles is 180º. So:

A1 + A2 + A3 = 180º

A3 = 180º - A1 - A2

A3 = 180º - 30º - 140º

A3 = 180º - 170º

A3 = 10º

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3 years ago
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Stells [14]
The simplified expression is 6+3i 

3 0
3 years ago
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ElenaW [278]

Answer:

3 1/2 plus 1 1/2? if thats it then it would be 5 i guess

Step-by-step explanation:

5 0
3 years ago
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In a right triangle PQR,∠Q=90
Nikitich [7]

Answer:

a) PR = 17 cm, b) QR = 6 cm

Step-by-step explanation:

∠Q=90, so PQ and QR are legs, and PR is hypotenuse.

Pythagorean theorem PQ² + QR² = PR²

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PR² = 289

PR = 17 cm

b) PQ² + QR² = PR²

   8² + QR² = 10²

64 + QR² = 100

QR² = 36

QR = 6 cm

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