Answer:
1) x = 71°, 2) x = 27°, 3) x= 32°
Step-by-step explanation:
1) Rectangle ABCD.
∠D = 90°
From ΔABE.
∠EAB +∠ABE + ∠BEA = 180°
45 + 90 +∠BEA = 180
∠BEA = 45
∠BEA + ∠AED +∠DEC = 180 °, because ∠BEC is a straight angle
45 + x + 64 = 180
x = 71°
2) Δ XYZ is equilateral, all angles = 60°.
∠YZX = 60°.
∠YZW = 180°, because it is a straight angle.
∠YZX + ∠XZW= 180
60 + ∠XZW= 180
∠XZW = 120.
From ΔXZW
∠ZXW + ∠XWZ + WZX = 180
x + 33 + 120 = 180
x = 27°
3) In ΔPQR,
PQ = PR, so ∠PQR = ∠PRQ = 69°
∠PRQ + ∠PRS = 180, because ∠QRS = 180° as straight angle.
∠PRQ + ∠PRS = 180
69 + ∠PRS = 180
∠PRS = 111°.
From ΔPRS
∠PRS + ∠RSP + ∠SPR = 180
111 + 37 + ∠SPR = 180
111 + 37 + x= 180
x = 32
Answer:
19 and 20
Step-by-step explanation:
let 'x' = first integer (smaller of the two)
let 'x+1' = next consecutive integer
6x = 7(x+1) - 26
6x = 7x + 7 - 26
6x = 7x - 19
-x = -19
x = 19
x+1 = 20
Check:
19(6) = 7(19+1) - 26
114 = 140 - 26
114 = 114
Answer: False
Step-by-step explanation:
The financing section deals with only the transactions that have to do with equity and debt. The Investing section deals with capital expenditure such as fixed assets and investments in other company securities.
The $50,000 should therefore be recorded in the Investing section as a Cash outflow.
The $100,000 is not a cash transaction but will be recorded in the Notes to the Statement of Cashflows as a Non-Cash transaction for disclosure purposes.
Answer:
2
Step-by-step explanation:
2/5 divided by 1/5 = 2/5 x 5/1 = 10/5 = 2
Answer: 24
Work: 4x= 4•12, yz = 8•3, so you have to do 48 (4 times 12) - 24 (8 times 3)