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2 years ago

In the figure below, What is the value of x?

Mathematics

1 answer:

igomit [66]2 years ago

7 0

Answer: 16 degrees

Step-by-step explanation:

(3x - 18) = 66

Because vertically opposite angles are equal

66 - 18 = 48

48 divided by 3 = 16

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Make a the subject of p=√ab

Marysya12 [62]

P = √ab

p² = ab

p²/b = a

a = p²/b

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2 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5

DanielleElmas [232]

Answer:

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that $csc(x)=1/sin(x)$ and $sec(x)=1/cos(x)$ .

Thus:

$\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}$

$=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }$

Let's do the first part first: (Recall how to divide fractions)

$\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}$

For the second term:

$\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}$

So, all together: (same denominator; combine terms)

$\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}$

Note the numerator; it can be derived from the Pythagorean Identity:

$sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)$

Thus, we can substitute the numerator:

$\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1$

Everything simplifies to 1.

7 0

2 years ago

18. WILL MARK BRAINLIEST!!HELP!

vagabundo [1.1K]

Answer:

3x-20

Step-by-step explanation:

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2 years ago

Need help asap!!! (will give BRAINLEIST)

madam [21]

Answer:

false

Step-by-step explanation:

rainbow method or tabular method x^2+4x+4

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2 years ago

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Determine which point is the solution to the given system.

lianna [129]

Answer:

WHAT UP

Step-by-step explanation:

DO THIS AND THAT LOL

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1 year ago