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lisabon 2012 [21]
3 years ago
12

Need help please, thank you

Mathematics
1 answer:
faust18 [17]3 years ago
5 0
M<ABX + m<CBX = 180

therefore, (14x + 70) + (20x + 8) = 180

Subtract 78 from both sides. Divide by 34.
x = 3

Plug in 3 for x.

m<ABX = 14(3) + 70 = 112
m<CBX =20(3) + 8 = 68
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what is the difference between teh largest prime number less than 50 and the smalest composite number grater than 10
Slav-nsk [51]

Answer:

The answer is 35.

Step-by-step explanation:

Prime numbers that are less than 50 are --> 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

The largest prime number in here that is less than 50 is 47, right?

Lastly, the smallest composite number which is greater than 10 is what? It is 12, okay?

So, 47 - 12 = 35

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There are two non congruent triangles where B=55 degrees a=15 and b=13. Find the measures of the angles of the triangle with the
liq [111]

Answer:

The side c needs to be 12.85 for the triangle to have greatest perimeter

Step-by-step explanation:

We are given;

b = 13

a = 15

Angle at b: B = 55°

Let's find side c.

Using the law of cosines,we have;

b² = a² + c² - 2ac•cos(B)

13² = 15² + c² - 2•15•c•cos(55)

169 = 225 + c² - 30c•cos(55)

c² - 30c•cos(55) + 225 - 169 = 0

c² - 30c•cos(55) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 17.208c + 56 = 0

Using quadratic formula;

c = [-(-17.208) ± √((-17.208)² - (4•1•56)]/2(1)

c = [17.208 ± √(296.115 - 224)]/2

c = 8.604 ± 4.246

To have the greater perimeter, we need the larger value of c, thus we will use the positive sign and ignore the negative one ;

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c = 8.604 + 4.246 = 12.85

5 0
3 years ago
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