Answer:
50 deg
Step-by-step explanation:
The circles are congruent, so all radii of both circles are congruent.
The given central angles are congruent, so the triangles are congruent by SAS.
Since each triangle has 2 congruent sides (the radii), opposite angles are congruent.
m<DFE = m<J = 80 deg
m<H = m<G = x
m<H + m<G + m<J = 180
x + x + 80 = 180
2x + 80 = 180
2x = 100
x = 50
m<H = 50
Answer:
Multiply 4 to the terms inside the parentheses.
(12x+8)-2
Remove the parentheses and equate it to zero.
12x+8-2 = 0
Simplify
12x+6 = 0
Transpose 6 to the other side.
12x = -6
Divide bith sides by 12.
12x/12 = -6/12
Simplify.
x = -6/12 or -½
Answer:
x = - 2
Step-by-step explanation:
f(x) + g(x) = x² - 2x + 6x + 4 = x² + 4x + 4, hence
x² + 4x + 4 = 0 ← This is a perfect square in the form
(x + a)² = x² + 2ax + a²
Hence 2a = 4 ⇒ a = 2, thus
(x + 2)² = 0
x+ 2 = 0 ⇒ x = - 2 ( 2 equal roots )
Value of x = - 2
If it is a diagonal going from one corner to the other opposite corner about the center, the diagonal simple divides the area by 2.
So:
A=xy/2, and x=8 and y=14 in this case so:
A=(8*14)/2 or as you are probably looking at it (which is the same thing)
(1/2)(8*14)=56 square feet.
