Answer:
Therefore the Correct option is First one
SAS, ∠A ≅ ∠C, AB ≅ CB , ∠ABD ≅ ∠CBD
.
Step-by-step explanation:
Given:
∠BDA ≅ ∠BDC
AD ≅ CD
TO Prove
ΔADB ≅ ΔCDB
Proof:
In ΔADB and ΔCDB
AD ≅ CD ....……….{Given}
∠BDA ≅ ∠BDC …………..{Given}
BD ≅ BD ....……….{Reflexive Property}
ΔADB ≅ ΔCDB ….{By Side-Angle-Side Congruence Postulate}
∴ ∠A ≅ ∠C ......{Corresponding Parts of Congruent Triangle are Congruent}
AB ≅ CB ......{Corresponding Parts of Congruent Triangle are Congruent}
∠ABD ≅ ∠CBD {Corresponding Parts of Congruent Triangle are Congruent}
Answer:
28,028 in3
Step-by-step explanation:
Funny I just answered the same exact question just a minute ago, but anyway the area formula is A=L*W, so that means that you need to multiply 2/5 times 1/3 to get the area. Once you do that it wants you to put it in the simplest form, which only means to reduce it down, unless it doesn't need too. Like if I got 10/20, the simplest form would be 1/2, because 10/20 is the same as 1/2, just reduced down. Apply the same logic to your problem and you will get your answer
<h3>
Answer is -96-36v</h3>
Work Shown:
The "6+10" in the parenthesis combines to 16. So we really have -6(16+6v)
Use the distribution rule. Multiply the outer -6 by each term inside
-6 times 16 = -96
-6 times 6v = -36v
Put together, we have -6(16+6v) = -96-36v
We have to make 2 equations
A = Adults C= Children
So: A + C = 1300
15A + 10C = 17250
We can solve for A and C in 2 ways, SUBSTITUTION or ELIMINATION
I'll do substitution
SUBSTITUTION: Subtract A from both sides
A + C = 1300
-A -A
C = 1300 - A
Plug C is to the 2nd equation
15A + 10(1300 - A) = 17,250
15A + 13,000 - 10A = 17,250
5A + 13,000 = 17,250
- 13,000 -13,000
5A = 4250
---- ---------
5 5
A= 850
So, there are 850 adults, subtract 850 from 1,300 and there 450 children
Answer: 850 adults
450 children
