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goblinko [34]
3 years ago
12

PLS HELP!!!

Mathematics
1 answer:
inessss [21]3 years ago
7 0

Answer:

36

Step-by-step explanation:

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Given: m∠ADB = m∠CDB<br><br> AD ≅ DC <br> Prove: m∠BAC = m∠BCA <br> BD⊥ AC
puteri [66]

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

3 0
4 years ago
Sara tried to evaluate 21 : 7 x 8 step-by-step
nlexa [21]

Answer: Sara multiplied by 3 when she should have multiplied by 8.

Step-by-step explanation:

21 : 7*8

7*8 = 56

21 : 56

The simplest form of this ratio is 3 : 8

6 0
3 years ago
PlEase answer !!<br><br> Will give brainlst
kaheart [24]

solution:

V=πr2h

3=π·9.32·18.4

3≈1666.52694

Round off to the nearest tenth: 1666.5

 

3 0
3 years ago
What is the solution to the equation -3(h+5)+2=4(h+6)-g
dexar [7]

Answer:

h=-4\frac{2}{7}

Step-by-step explanation:

The given equation is

-3(h+5)+2=4(h+6)-9

We expand to obtain;

-3h-15+2=4h+24-9

Group similar terms;

-3h-4h=24-9+15

Combine the similar terms;

-7h=30

Divide both sides by -7

h=-\frac{30}{7}

h=-4\frac{2}{7}

8 0
3 years ago
John orders 25 prints from a photo store for $13.00.<br><br> What is the cost per print?
Goryan [66]

Answer:

Each print costed $1.92.

Step-by-step explanation:

First you'll need to divide 25 and 13

Equation: 25/13= 1.92307692

Well remove all the numbers after the number 92. and you'll get that 92.

So the answer is $1.92.

6 0
3 years ago
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