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guajiro [1.7K]
2 years ago
8

What is measurement angle B?

Mathematics
2 answers:
kogti [31]2 years ago
8 0

Answer: 80 degrees

Step-by-step explanation:

UkoKoshka [18]2 years ago
7 0

Answer:

B = 54 to the nearest degree.

Step-by-step explanation:

Remark

This is a sine law question. They can be rather nasty because no answer or 2 answers are possible. This one is well behaved because B, you are told, is acute. The two answer kind needs the supplement of an acute angle.

Sorry this blabs on and shouldn't. You are looking for <B

Formula

Sin(<B)/the side opposite = Sin(<A) / side opposite it

Simplified

Sin(<B) / 9 = Sin(A)/11

Sin(<B) / 9 = Sin(80) / 11             Multiply both sides by 9

9*Sin(B) / 9 = 9 * Sin(80) /11      The 9s Cancel

Now all you need to do is put it in your calculator. Do you need the steps?

Sin(B) = 9*sin(80) / 11

Sin(B) = 9 * 0.9848 /11

Sin(B)= 0.8058

B = Sin-1(0.8058)

B = 53.68

B = 54

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In triangle ABC, angle A is 75o and angle B is 20o. Select the triangle that is similar to triangle ABC.
Arturiano [62]

Answer:

A. \triangleDEF where \angle D = 75^{\circ} and \angle E = 20^{\circ}.

Step-by-step explanation:

At first we must keep in mind that two triangles are similar when they have same angle configuration, that is, each pair of angles is congruent. If \triangleABC and \triangleDEF, then \angle A \equiv \angle D and \angle B \equiv \angle E. Hence, \angle D = 75^{\circ} and \angle E = 20^{\circ}.

In a nutshell, correct answer is A.

4 0
3 years ago
The sum of two numbers is the same as four times the smaller number. If twice the larger is decreased by the smaller, the result
liraira [26]

The two numbers are 6 and 18

Step-by-step explanation:

The given is:

  • The sum of two numbers is the same as four times the smaller number
  • If twice the larger is decreased by the smaller, the result is 30

We need to find the the numbers

Assume that the smaller number is x and the larger number is y

∵ The smaller number = x

∵ The larger number = y

∵ The sum of the two numbers is the same as four times the

   smaller number

- That means add the two numbers and equate the sum by four

   times x

∴ x + y = 4x

- Subtract both sides by x

∴ y = 3x ⇒ (1)

∵ Twice the larger number is decreased by the smaller number,

   the result is 30

- That means multiply y by 2 and subtract x from the product,

    then equate the difference by 30

∴ 2y - x = 30 ⇒ (2)

- Substitute y in equation (2) by equation (1)

∵ 2(3x) - x = 30

∴ 6x - x = 30

- Add like terms in the left hand side

∴ 5x = 30

- Divide both sides by 5

∴ x = 6

- Substitute the value of x in equation (1) to find y

∵ y = 3(6)

∴ y = 18

The two numbers are 6 and 18

Learn more:

You can learn more about the system of equation in brainly.com/question/2115716

#LearnwithBrainly

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