Explanation:
Only the reasons need be given here, as the statements are already given in your figure.
- Given
- Given
- Given
- Definition of congruent line segments
- Symmetric property of congruence
- Addition and substitution properties of equality*
- Segment addition theorem
- Definition of congruent line segments
- AAS congruence postulate
_____
* The addition property says if A=B, then A+C=B+C. The substitution property further says if C=D, then A+C=B+D (D can be substituted for C). IMO, both properties are needed together to get from A=B and C=D to A+B=C+D.
Answer:
49/250 I think I'm not sure though
<u>Let's take this problem step-by-step</u>:
<u>Let's first set up some variables</u>:
- c: # of children
- a: # of adults
<u>Let's examine the information given:</u>
- Elevator can hold a maximum of 1500 pounds
⇒ average child is 75 pounds
⇒ average adult is 150 pounds
⇒<em> therefore</em>: 
- Elevator can fit no more than 14 people
⇒ <em>therefore</em>: 
<u>Let's graph the equations</u>:

⇒ look at the image attached
<u>The point at which the two graphs intersect:</u>
⇒ <em>is the solution that represents the amount of children and adults and </em>
<em> their combine weight</em>
<em />
<u><em>With the horizontal axis being the # of children and vertical axis being the # of adults</em></u><em>:</em>
<em> ⇒ the </em><em>solution is 8 children and 6 adults</em>
<em></em>
<u>Answer: 8 children and 6 adults</u>
<u></u>
Hope that helped!
<em />
Answer:
6²
Step-by-step explanation:
Using the rule of exponents
⇔
, then

= 
= 6²
Answer:
B. 12/5
Step-by-step explanation:
tan=opp. leg/adj. leg
tan 67= 12/5