Step-by-step explanation:
1. You already got the first step, where D is the midpoint of AC and AB is congruent to BC, since it's given.
2. AD will be congruent to DC, via the definition of a midpoint (a midpoint is the middle point of a line segment, and it splits the segment into two congruent parts)
3. BD is equal to BD, via reflexive property. ( It's a shared side between the two triangles)
4. that means that ΔADB ≅ΔCDB via SSS rule.
5. ∠ABD ≅∠CDB by CPCTC (corresponding parts of congruent triangles are congruent)
Hope this helps! :)
Answer:
13.5 and 13.5
Step-by-step explanation:
The answer
<span>the amount of gold per cubic meter can be found by the ratio
0.78 g /1 </span><span>.5 cubic meters = 0.52 g / cubic meter,
proof
it was said </span><span>the amount of gold per cubic meter (Density)</span>
Answer: 
Step-by-step explanation:
From the sports arena to Kristina's house = 
From the sports arena to Luke's house = 
Subtract Luke from Kristina
There's a confusing but easy way to solve this. However, I'm going to convert into improper fractions to make it easier.
To convert to improper fraction, take the whole number, multiply it by the denominator and add it to the numerator. All over the same denominator.
Subtract them.
Convert to mixed number by dividing.
65/10=6
60
----
5
The 6 is the whole number, 5 the numerator and 10 the denominator. Remember the negative sign that we had.
5 and 10 can be simplified
5/5=1
10/5=2
Our final answer would be:
Answer:
14
Step-by-step explanation:
Let the smaller and larger numbers be represented by S and L, respectively.
S/L = 2/3 . . . . the original ratio of the numbers
3S = 2L . . . . . multiply by 3L
__
(S-6)/(L+7) = 2/7 . . . . the new ratio of the numbers
7(S-6) = 2(L+7) . . . . . multiply by 7(L+7)
7S -42 = 2L +14
Using the expression for 2L from the first ratio, we can substitute to get ...
7S -42 = 3S +14 . . . . substitute 3S for 2L
4S = 56 . . . . . . . . . . .add 42-3S
S = 14 . . . . . . . . . . . . . divide by 4
The original smaller number was 14.
