Question

️ABC ; AB=4 and BC=7
options⬇️
(A) AC< 7 (B) AC> 4 (C) 4<AC<7 (D)3<AC<11

please answer me..
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Answer 1

Let $E = \overline{BC}\cap \overline{AD}$. Observe that $\angle ABC \cong \angle ADC$ because they subtend the same arc, $\overarc{AC}$. Furthermore, $\angle BAE \cong \angle EAC$ because $\overline{AE}$ is an angle bisector, so $\triangle ABE \sim \triangle ADC$ by $\text{AA}$ similarity. Then $\dfrac{AD}{AB} = \dfrac{CD}{BE}$. By the Angle Bisector Theorem, $\dfrac{7}{BE} = \dfrac{8}{CE}$, so $\dfrac{7}{BE} = \dfrac{8}{9-BE}$. This in turn gives $BE = \frac{21}{5}$. Plugging this into the similarity proportion gives: $\dfrac{AD}{7} = \dfrac{CD}{\tfrac{21}{5}} \implies \dfrac{AD}{CD} = {\dfrac{5}{3}} = \boxed{\text{(B)}}$.

Answer 2

1)spot the error and rewrite the correct sentence

→ I is taking a big chance

Answer - I am taking a big chance

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2)identify the type of sentence

→ I don't think it can be very difficult

Answer -Assertive( negative)

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3) find out five hidden words from the given word :

confidently

→ Answer - confindetly = confident ,confide,

lined,fiend ,fondly

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4) use the following gerund in your own sentence

chasing

→ Answer - I would not even think of chasing a defenceless animal and birds .

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5) write the present and past participle of stop

→ Answer -

present participle-stopping ,

past participle -stopped