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2 years ago

Find the missing vertical angles.

Mathematics

1 answer:

never [62]2 years ago

3 0

Answer:

L1 = 113°

L4 = 67°

Step-by-step explanation:

L1 + L2 = 180°

L1 = 180° - L2

L1 = 180° - 67°

L1 = 113°

L3 + L4 = 180°

L4 = 180° - L3

L4 = 180° - 113°

L4 = 67°

Proof-

Combination of L1,L2,L3 and L4 should be 360°

113°+67°+113°+67° = 360°

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Find cotθ, cosθ, and secθ, where θ is the angle shown in the figure.

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Answer:

$\cos( \theta) = \frac{5}{8} \\ {8}^{2} = {5}^{2} + {opp}^{2} \\ {opp}^{2} = 64 - 25 = 39 \\ opp = \sqrt{39} \\ \sin(\theta) = \frac{\sqrt{39}}{8} \\ \tan(\theta) = \frac{ \sqrt{39} }{5} \\ \cot(\theta) = \frac{1}{\tan(\theta)} = \frac{1}{\frac{ \sqrt{39} }{5}} \\ \cot(\theta) = \frac{5}{ \sqrt{39} } \\ \csc( \theta) = \frac{1}{\sin(\theta)} = \frac{1}{\frac{\sqrt{39}}{8}} \\ \csc( \theta) = \frac{8}{ \sqrt{39} } \\ \sec( \theta) = \frac{1}{\cos( \theta) } = \frac{1}{ \frac{5}{8} } \\ \sec( \theta) = \frac{8}{5}$

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2 years ago

The sum of three and seven times a number is -74. What is the number?

Dima020 [189]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Form an equation with 'x' as the unknown number

7x + 3 = -74

Subtract 3 from both sides:

7x = -77

Divide both sides by 7:

x = -11

The number is -11

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

7 0

3 years ago

Read 2 more answers

adell [148]

Answer:

Solving the inequality $3x -2 < 4$ we get $\mathbf{x$

Option D is correct option.

Step-by-step explanation:

We need to solve the inequality $3x -2 < 4$ and find value of x

Solving the inequality for finding value of x, we will keep x on left side of inequality and all other terms on the right side.

$3x -2 < 4$

Adding 2 on both sides

$3x -2+2 < 4+2\\3x < 6$

Now, we will divide 3 on both sides

$\frac{3x}{3}$

So, we get x < 2

Solving the inequality $3x -2 < 4$ we get $\mathbf{x$

Option D is correct option.

5 0

2 years ago

Can 15/8 be simplified

Olegator [25]

No it can't

In mixed number form it's 1 7/8

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3 years ago

Find the missing vertical angles.​

Find the missing vertical angles.