Answer:
8 billon
Step-by-step explanation:
Well first you would subtract 9 from both sides to isolate your variable
so it would look like
1/4y =-81/2
now you divide 1/4 from both sides
so you're left with
y = -34
Yes, if FJ || GH, and also if FG || HJ, since a parallelogram has two pairs of parallel sides.
now, we know FG = HJ = 10, but if it's a parallelogram, then the other two sides must also have the same length, so chances are FJ = GH = 15.
Answer:
1,2,3 and 6 are similar triangles by AA similarity
Step-by-step explanation:
1) ∠DEC ≅ ∠FEG {Vertically opposite angles}
DC // GF
∠ECD ≅ ∠EGF {Alternate interior angles}
∠EDC ≅ ∠EFG {Alternate interior angles}
ΔDEC & ΔFEG are similar triangles by AA similarity
2)MN // QP
∠LQP ≅ ∠QMN {Corresponding angles }
∠LPQ ≅ ∠PNM {Corresponding angles}
ΔLQP & ΔLMN are similar triangles by AA similarity
3) In ΔSYE ,
∠S = 180 - 90 - 39
∠S = 51°
In ΔCHW,
∠H = 180 - 51 - 90
∠H = 39
ΔSYE and ΔCHW
∠S ≅ ∠W = 51°
∠Y ≅ ∠C = 90°
∠E ≅∠H = 39°
ΔSYE & ΔWCH are similar triangles by AA similarity
6) ∠P ≅ ∠Z {Given}
∠PXQ ≅∠ZXY {Vertically opposite angles}
ΔPXQ & ΔZXY are similar triangles by AA similarity
Answer:
20.49 feet to the nearest hundredth.
Step-by-step explanation:
Using the Pythagoras Theorem:
38^2 = h^2 + 32^2
h^2 = 38^2 - 32^2
h^2 = 420
h = √420
h = 20.494 m.
