Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given informa
1 answer:
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Answer: RQ= 8.99 ( approx)
Step-by-step explanation:
Let MR= x
Since, In triangle, PRQ, tan 75°=
⇒ RQ=
Now, In triangle MRQ,
tan 60°=
⇒ RQ=
On equating both values of RQ,
⇒
⇒
⇒
⇒
⇒≈15.60
Thus RQ=8.99999999999≈8.99
Answer:
perimeter of the shaded region = 88 +44+28 =160 cm
Step-by-step explanation:
perimeter of shaded region = length AO + arc OB + arc AB
length AO = radius of bigger circle
radius of bigger circle = OX + OB = 2×radius of smaller circle = 2×14 cm = 28 cm
therefore AO = 28 cm
length of arc oB= half of circumference of smaller circle = ×14 = 44 cm
length of arc ab = half of circumference of bigger circle = ×28 =
×28= 88
therefore perimeter of the shaded region = 88 +44+28 =160 cm
area of the shaded region = half of area of bigger circle - half of area of smaller circle
=
=
solving we gen area of shaded region = 924