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:
45 words per minute!
Step-by-step explanation:
Divide 900 by 20!
#10
15(1/3y-3/5x-2/3y+4/15x)
Calculate
15(-y/3-x/3)
Write all numerator over common denominator
15(-y+x/3)
Multiply by reducing
-5(y+x)
Multiply parenthesis by -5
-5y-5x
#11
24(2/3y-3/4x-2/8y+5/6x)
Reduce fraction
24(2/3y-3/4x-1/4y+5/6x)
Calculate
24(5/12y+x/12)
Multiply parenthesis by 24
10y + 2x