Answer:
The proof is explained below.
Step-by-step explanation:
Given m∠ADB = m∠CDB and AD ≅ DC
we have to prove that m∠BAC = m∠BCA and BD⊥ AC
In ΔADO and ΔCDO
∠OAD=∠OCD (∵ADC is an isosceles triangle)
AD=DC (∵Given)
∠ADO=∠CDO (∵Given)
By ASA rule, ΔADO≅ΔCDO
In ΔBAD and ΔBCD
AD=DC (∵ABC is an isosceles triangle)
∠ADB=∠CDB (∵Given)
DB=DB (∵common)
By ASA rule, ΔADB≅ΔCDB
Now, ΔADB≅ΔCDB and ΔADO≅ΔCDO
⇒ ΔADB-ΔADO≅ΔCDB-ΔCDO
⇒ ΔABO≅ΔCBO
Hence, by CPCT, m∠BAC = m∠BCA
Now, we have to prove that BD⊥ AC i.e we have to prove m∠BOA=90°
Now, ΔABO≅ΔCBO therefore by CPCT, m∠BOA = m∠BOC
But, m∠BOA + m∠BOC=180° (linear pair)
⇒ m∠BOA + m∠BOA=180°
⇒ 2m∠BOA=180° ⇒ m∠BOA=90°
Hence, BD⊥ AC
Answer:
13/2
Step-by-step explanation:
-8 minus 18 gives you 26
then, -20 minus -16, which is equal to +16 gives you -4
after that you would simplify all the way to 13/2
Answer:
what are the irrational numbers? and also, irrational numbers are never-ending decimals that have no pattern, such as pi; 3.141592653589793238426433832795028841971693993751058209749445923078164 0628620899862803482534211706
Step-by-step explanation:
irrational numbers cannot be written in fraction form
Answer:
A
Step-by-step explanation:
Let us start with B = 90
That would mean that each of the other 2 angles must add to 90 which makes each of them 45.
But the question doesn't allow that. B has to be greater than 90 which means that the other two angles must be less that 45 each.
the only answer that does that is A
