Answer:
x = 32
Step-by-step explanation:
This is an equilateral triangle. This means the angles of the triangle are all equal. Since the sum of a triangle's angles is 180°, that means each angle will be 60°.

We can see that the 33 degrees corresponds to angle A (parallel lines) meaning they’re equal.
This means that 33 + 2x = 5x (5x is the exterior angle, so the other two interior angles’ sum must equal to it)
3x = 33
x = 11
That would be tan
(1-cos)(1+cos)=1-cos² which equals to sin²
√sin²/cos²= sin/cos which equals to tan
Answer:
Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.
Step-by-step explanation:
The equation of a circle with center (h,k) and radius r is given by:

Given
Center = (h,k) = (-3,1)
=> h = -3
=> k = 1
The distance between the center of circle and the point through which the circle passes will be the radius.
The distance formula is given by:

Given

Putting the values in the formula

Putting the values of h,k and r in general form of equation

Hence,
Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.
Answer:
The smallest side is 7inches
Step-by-step explanation:
Let the shorter side be y.
The medium side is 4 more than the short side i.e
Meduim side = 4 + y
The longest side is 5 times the length of the shortest side i.e
Logest side = 5y.
Perimeter of the triangle = 53 inches
But the perimeter of a triangle is the Sum of all sides i.e
P = small + medium + large
53 = y + (4+y) + 5y
53 = y + 4 + y + 5y
Collect like terms
53 — 4 = 7y
49 = 7y
Divide both side by 7
y = 49/7
y = 7inches
Therefore the smallest side is 7inches