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3 years ago

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Mathematics

2 answers:

Liula [17]3 years ago

3 0

Answer:

Step-by-step explanation:

x=180-59-41

x=80

lesya692 [45]3 years ago

3 0

Answer: 80°

Step-by-step explanation:

The sum of all angles in a triangle is always 180°

so 59° + 41° + x ° = 180°

or x = 180 - 41 - 59 = 80

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Read 2 more answers

8 less than the product of 6 and -16

Pachacha [2.7K]

Answer:

-104

Step-by-step explanation:

Step 1: Write out expression

6(-16) - 8

Step 2: Evaluate

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3 years ago

Solve Tan^2x/2-2 cos x = 1 for 0 < or equal to theta < greater or equal to 1.

mixer [17]

Answer:

x = theta = 0°

Step-by-step explanation:

Given the trigonometry function

Tan²x/2-2 cos x = 1

Tan²x-4cosx = 2 ... 1

From trigonometry identity

Sec²x = tan²x+1

tan²x = sec²x-1 ... 2

Substituting 2 into 1, we have:

sec²x-1 -4cosx = 2

Note that secx = 1/cosx

1/cos²x - 1 - 4cosx = 2

Let cosx. = P

1/P² - 1 - 4P = 2

1-P²-4P³ = 2P²

4P³+2P²+P²-1 = 0

4P³+3P² = 1

P²(4P+3) = 1

P² = 1 and 4P+3 = 1

P = ±1 and P = -3/4

Since cosx = P

If P = 1

Cosx = 1

x = arccos1

x = 0°

If x = -1

cosx = -1

x = arccos(-1)

x = 180°

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3 years ago

Solve the system of linear operations

zhenek [66]

Answer:

$\boxed{(-2,1)}$

Step-by-step explanation:

$\left \{ {{5x+2y=-8} \atop {x+4y=2}} \right.$

I'll be solving this system of equations using the elimination method since the x and y values are neatly lined up.

I want to get a pair of x's or y's that cancel out, and it looks like the easiest way to start would be by multiplying the first equation by -2 (the y's will cancel).

I chose to multiply the first equation by -2 instead of multiplying the second equation by 5 because -2 is a smaller number and easier to multiply by.

$-2\times(5x+2y=-8)$