Answer:
DC = 10.93 cm , AC = 9.8 cm
Step-by-step explanation:
From trigonometry;
⇒ Tan 60 = AB/BD
⇒AB = BD Tan 60 ( where BD = 4 cm )
⇒ AB = 6.93 cm
Also, AB=BC , therefore;
⇒ BC = 6.93 cm
⇒ Cos 60 = BD/AD
⇒ AD = BD/ Cos 60 = 4/Cos 60
⇒ AD = 8 cm
From Pythagoras theorem;
⇒ =
+
=
+
⇒ AC = = 9.80 cm
⇒ DC = BD + BC = 4 + 6.93
⇒ DC = 10.93 cm
Answer:
A) A and B are supplementary
Step-by-step explanation:
we know that
For any inscribed quadrilateral in the circle , opposite angles will be supplementary
so
In this problem
Angle A and Angle B are supplementary angles
Angle B and Angle D are supplementary angles
therefore
<u><em>The sentences that are true </em></u>
A) A and B are supplementary
Option 2: is the right answer
Step-by-step explanation:
Given fraction is:
To solve the fraction, Taking LCM in denominator and numerator
When the numerator and denominator both have fractions, the simplified form is obtained be multiplying the numerator with reciprocal of the denominator. So,
Hence,
Option 2: is the right answer
Keywords: fractions, simplification
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