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3 years ago

Please answer quick!!

Mathematics

1 answer:

IRINA_888 [86]3 years ago

7 0

Answer:

mBC = 96°

mB = 55°

mC = 77°

mAB = 154°

Step-by-step explanation:

The angle mB inscribes the arc mAC, so we have:

$mB = mAC / 2$

$mB = 110 / 2 = 55\°$

The sum of internal angles of a triangle is 180°, so in the triangle ABC we have:

$mA + mB + mC = 180$

$48 + 55 + mC = 180$

$mC = 180 - 48 - 55$

$mC = 77\°$

Using again the property of inscribed angles, we have:

$mAB = 2*mC = 154\°$

$mBC = 2*mA = 96\°$

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3 years ago

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2 years ago

Four integers are consecutive terms of an arithmetic sequence. The sum of these four numbers is 24 and the product is 945.Find t

Marta_Voda [28]

When common difference, $d=\sqrt{39}$ then the largest term of these four terms will be $6+3\sqrt{39}$

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Since, sum of all four terms is 24

So, $a-3d+a-d+a+d+a+3d=24\\\\a=6$

And product is 945

So, $(a-3d)(a+3d)(a-d)(a+d)=945\\\\9d^4-360d^2+351=0\\\\d^4-40d^2+39=0\\\\(d^2-1)(d^2-39)=0\\\\d=1,-1\\d=\sqrt{39}, -\sqrt{39}$

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Learn more:

https://brainly.in/question/3719232

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2 years ago