Answer:
<h2>(-2, -4)</h2>
Step-by-step explanation:
Put the coordinates of the points to the equation, and check it:
(-4, -1) → x= -4, y = -1
L = -5(-4) - 3(-1) =20 + 3 = 23
R = 22
L ≠ R
(-1, -4) → x= -1, y = -4
L = -5(-1) - 3(-4) = 5 + 12 = 17
R = 22
L ≠ R
(-2, -4) → x= -2, y = -4
L = -5(-2) - 3(-4) = 10 + 12 = 22
R = 22
L = R CORRECT :)
(-4, -2) → x = -4, y = -2
L = -5(-4) - 3(-2) = 20 + 6 = 26
R = 22
L ≠ R
The shape in the middle is a quadrilateral, so the bottom right hand corner should add up to the rest of the angles to give 360 degrees.
40 + 80 + 110 = 230°
360 - 230 = 130°
The line on which x is on is a straight line, and a straight line is 180 degrees.
Therefore x has to be 180 - 130 to make sure it adds up to give 180 degrees.
180 - 130 = 50
∴ x = 50°
Answer:
∠ 6 = 38°
Step-by-step explanation:
∠6 and 38° are vertical and congruent, thus
∠ 6 = 38°
Answer:
15
19
14
Step-by-step explanation:
Answer:


Step-by-step explanation:
<u>Trigonometric Formulas</u>
To solve this problem, we must recall some basic relations and concepts.
The main trigonometric identity relates the sine to the cosine:

The tangent can be found by

The cosine and the secant are related by

They both have the same sign.
The sine is positive in the first and second quadrants, the cosine is positive in the first and fourth quadrants.
The sine is negative in the third and fourth quadrants, the cosine is negative in the second and third quadrants.
We are given

Find the cosine by solving





We have placed the negative sign because we know the secant ('sex') is negative and they both have the same sign.
Now compute the tangent

Rationalizing

