Answer:
∠SQR = 1/2 m ∠SR = 1/2 x 86 = 43°
Answer:
second option
Step-by-step explanation:
Given
+ 6x² + 5 = 0
let u = x², then
u² + 6u + 5 = 0 ← in standard form
(u + 1)(u + 5) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 1 = 0 ⇒ u = - 1
u + 5 = 0 ⇒ u = - 5
Change u back into terms of x, that is
x² = - 1 ( take the square root of both sides )
x = ± = ± i ( noting that = i ), and
x² = - 5 ( take the square root of both sides )
x = ± = ± = ± × = ± i
Solutions are x = ± i and x = ± i
Answer:
slope = 3/5
Step-by-step explanation:
slope = rise/run = 3/5
or (longer way w/ the points)
slope = (y2-y1)/(x2-x1) = (5-2)/(4-(-1)) = 3/5
TQRS is an inscribed quadrilateral.
5 x - 52° + 3 x + 40° = 180°
8 x - 12° = 180°
8 x = 180° + 12°
8 x = 192°
x = 192° : 8 = 24°
m∠ R = 3 · 24° + 40° = 112°
m∠ T = 5 · 24° - 52° = 68°
m∠ S = 360° - ( 68° + 68° + 112° ) = 112°
Answer:
m∠R, m∠S, m∠T = 112°, 112°, 68°.