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STatiana [176]
2 years ago
13

ZA and ZB are complementary angles. If mZA = (7x + 23)° and

Mathematics
1 answer:
Marat540 [252]2 years ago
5 0

Answer:

ZB= 39°

Step-by-step explanation:

complementary angles are angles that add up to equal 90

equation:  7x + 23 + 5x + 19 = 90

add like terms: 12x + 42 = 90

subtract 42 from both sides: 12x = 48

divide both sides by 12: x = 4

plug in the value of x to the equation for ZB: 5(4) + 19

simplify: ZB= 39°

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2 years ago
What is the value of sin X
Angelina_Jolie [31]

\sin(x)  =  \frac{opposit e \: cathetus}{hypotenuse}
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2 years ago
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If sin phi sin theta = 0.2 and sin phi cos theta = -0.3 and sin phi > 0 what is theta ? Repeat for sin phi < 0.
Rina8888 [55]

Answer:

θ = -33.69°

Step-by-step explanation:

For Φ>0 and Φ<0  (in general Φ≠nπ  where n is an integer), sin(Φ) ≠ 0

Dividing both equations:

\frac{sin(\phi) sin(\theta)}{sin(\phi)cos(\theta)} = tan(\theta) = 0.2/(-0.3)=-2/3\\

Therefore:

arctan(θ) = -2/3

  θ = -33.69°

The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)

Have a nice day!

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2 years ago
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frosja888 [35]

Answer:

y = -13x + 4

Step-by-step explanation:

You want to put it in the form y = mx + b where m is the slope and b is the y-intercept (For example, in the equation y = 2x + 3 the slope is 2 and the y-intercept is 3)

Since the slope is -13, m = -13.

Since the y-intercept is 4, b = 4.

This means the equation is y = -13x + 4

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3 years ago
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