Answer:
137°
Step-by-step explanation:
Basically, its the reverse of question 1.
With angle x, you can find out that the opposite angle is 360 - 106 = 254°
the angle is twice the size of angle y as said in the corcle theorems.
254 divided by 2 = 137°
(please correct me if im wrong, i feel like im missing something)
Answer:
m = -1/4
Step-by-step explanation:
4y + x = 8
Arrange the equation in a slope intercept form y = mx+b, where m is the slope
4y + x = 8, subtract x from both sides
4y = -x +8, divide both sides by 4
y = -x/4 + 8/4 , simplify
y = -x/4 + 2, compare this to the general form y=mx+b and we see that the slope m = -1/4
Answer:
10 and 12 are two even integers whose product =120
Step-by-step explanation:
10 and 12 are two even integers whose product =120
To solve this equation simply find 2 numbers that multiply to give -4 and add also to give 3, these numbers are 4 and -1. Since 4 • -1 = -4 and 4 + -1 = 3.
X^2 + 3x - 4 = 0
(X - 1)(X + 4) = 0
X = -4 and X = 1 in ascending order.
The abscissa of the ordered pair, that is the x-coordinate, is equal to 1 and the ordinate, the y-coordinate, is equal to -1. In the cartesian plane, this point lies in the fourth (IV) quadrant. The standard position of the angle is that which has one of its side is in the x-axis.
Solve for the hypotenuse of the right triangle formed.
h = sqrt((-1)² + (1)²) = √2
Below items show the calculation for each of the trigonometric functions.
sin θ = opposite/hypotenuse = y/h = (-1)/(√2) = -√2/2
cos θ = adjacent/hypotenuse = x/h = (1)/√2 = √2/2
tan θ = opposite/adjacent = y/x = -1/1 = -1
