Answer:
30x40=3inx4in
50x50=5inx5in
40x20=4inx2in
30x40=3inx4in
30x30=3inx3in
35x40=3.5inx4in
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
The sum of the exterior angles is 360 degrees
12x+62+ 66+ 77+59 = 360
Combine like terms
12x+264 = 360
Subtract 264 from each side
12x+264-264 = 360-264
12x =96
Divide by 12
12x/12 = 96/12
x=8
Answer:
Yes, AngleA ≅ AngleD and AB ≅ DE.
Yes, they are congruent by either AAS or ASA.
No, AngleC is not congruent to any angle in TriangleDEF.
No, the congruent sides do not correspond.
Step-by-step explanation:
The fact that there are two length sides and two width sides.
Answer:
x= 32.3 (3 s.f.)
θ= 21.8° (1 d.p.)
α= 68.2° (1 d.p.)
Step-by-step explanation:
Applying Pythagoras' Theorem,
x²= 12² +30²
x²= 144 +900
x²= 1044
Square root both sides:
x= 32.3 (3s.f.)
θ= 21.801° (3 d.p.)
θ= 21.8° (1 d.p.)
= 68.2° (1 d.p.)
Alternatively,
α +θ +90°= 180° (∠ sum of triangle)
α +21.801° +90°= 180°
α +111.801°= 180°
α= 180° -111.801°
α= 68.199°
α= 68.2° (1 d.p.)
