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4 years ago

What is m (There is no multiple choice just find m

Mathematics

1 answer:

Sauron [17]4 years ago

4 0

Answer:

$160$ degrees.

Step-by-step explanation:

Line ABC is a straight line, and the angle on a straight line is always 180 degrees.

Since ABD + DBC = ABC, we know that $x+8x=180$

$9x=180$

Divide both sides by 9:

$x=180\div 9=20$

DBC is $8x=8\times 20=160$ degrees.

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3 years ago

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Alice earned $622.50 in interest on her savings in the bank. Before interest, the account had $12,450. What is the approximate p

Akimi4 [234]

Hi there

To find The interest rate the formula is
R=I÷pt
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6 0

3 years ago

Given sin(−θ)=−1/6 and tanθ=−√35/35 What is the value of cosθ?

murzikaleks [220]

Answer:

$cos(\theta)=-\frac{\sqrt{35} }{6}$

Step-by-step explanation:

Recall the negative angle identity for the sine function:

$sin(- \theta)=-sin(\theta)$

Then, we can find the value of $sin(\theta)$ :

$sin(\theta)=-sin(-\theta)\\sin(\theta) =-(-\frac{1}{6} )\\sin(\theta)= \frac{1}{6}$

Now recall the definition of the tangent function:

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

Therefore, now that we know the value of $sin(\theta)$ , we can solve in this equation for $cos(\theta)$

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}\\-\frac{\sqrt{35} }{35} =\frac{1/6}{cos(\theta)} \\cos(\theta)=-\frac{\frac{1}{6} }{\frac{\sqrt{35} }{35} } \\cos(\theta)=-\frac{35}{6\,\sqrt{35} } \\cos(\theta)=-\frac{\sqrt{35} }{6}$

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3 years ago