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2 years ago

In △ABC, m∠B = 90°, m∠C = 15°, M ∈ BC. If m∠BAM = 60°, AM = 10 in. Find: AB URGENT

Mathematics

1 answer:

lara31 [8.8K]2 years ago

7 0

Answer:

Step-by-step explanation:

You end up with a 30°-60°-90° triangle inside of △ABC.

The sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2.

AB is opposite the 30° angle. AM is opposite the 90° angle and has length 10, so AB is half the length of AM.

AB = 5 units.

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Determine whether each ordered pair is a solution of the system.

Stolb23 [73]

According to the system:

5 – 7x + 2y² = -10

1 – 5x – 2y = -22

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a) No ; (4, 6) is not a solution to the

system. This point does not touch either equation.

b) No ; (6, 4) is not a solution to the system. This point does not touch either equation.

Solutions:

$( \frac{122 - 3 \sqrt{101}}{25}, \frac{ - 7 +3 \sqrt{101}}{10}) ≈ (3.674, 2.315) \\ ( \frac{122 + 3 \sqrt{101}}{25}, \frac{ - 7 - 3 \sqrt{101}}{10}) ≈ (6.086, -3.715)$

x = ( 122 ∓ 3√101 ) / 25 ≈ 3.674 or 6.086

y = ( -7 ± 3√101 ) / 10 ≈ 2.315 or -3.715

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2 years ago

2(a + 3) = −4 i need help i don't understand

kkurt [141]

Answer: a = -5

Step-by-step explanation:

2(a+3)=-4

Distribute

2a+6=-4

subtract the six with the four and you get -10

-6-4=-10

now divide 2a with -10

you get a= -5

you can plug the answer in

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2 years ago

Read 2 more answers

Round each number to the nearest ten and estimate the sum.

Katen [24]

I think its a. Good luck!

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1 year ago

what is the lub and glb of the following sets, in the set of real numbe if exists E={ 0.2,0.23,0.234,0.2343,0.23434,0.23434,...}

Brums [2.3K]

Answer:

Hello,

Step-by-step explanation:

$LUB(E)=0.2=\dfrac{1}{5} \\\\GUB(E)=0.2 34 34 34 ....=0.2+\dfrac{1}{10} *0.343434....\\\\=\dfrac{1}{5} +\dfrac{1}{10} *\dfrac{34}{99} \\\\=\dfrac{198+34}{990} \\\\=\dfrac{116}{495}$

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2 years ago

How to solve the problem

777dan777 [17]

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2 years ago