Answer:
155°
Step-by-step explanation:
In Δ ABC, let A = x°
By Angle-sum property,
A + B + C = 180°
But, it is given that C = 130°
So, x + B + 130 = 180
B = 180 - 130 - x
B = 50 - x
Since AD and BD are internal bisectors of A and B,
∠ DAB = x/2 and
∠ DBA =
In Δ ADB, by angle-sum property,
∠ DBA + ∠ DAB +∠ ADB = 180°
+ ∠ ADB = 180°
25 + ∠ ADB = 180°
∠ ADB = 180 - 25 = 155°
Hence, ∠ ADB = 155°
Answer:
True. The statement is also equivalent to: If m<B + m<C does not equal m<D, then m<A does not equal m<B and m<A + m<C is not equal to m<D.
Answer:
x = 15
Step-by-step explanation:
GE / JH = GF / IJ
36 / (x+3) = 60 / 30
36 / (x+3) = 2 / 1
cross-multiply:
2(x+3) = 36
2x + 6 = 36
2x = 30
x = 15
C: 585, You divide 1371 by 75, and multiply that by 32, then round up. 1371 is proportional to 75 and x is proportional to 32.
F(x) = x² + x - 20 = x² + 5x - 4x - 20 = x(x + 5) - 4(x + 5) = (x + 5)(x - 4)
f(x) = 0 ⇔ (x + 5)(x - 4) = 0 ⇔ x + 5 = 0 or x - 4 = 0 ⇒ x = -5 or x = 4
Answer: C. x = -5 and x = 4.
