Answer:
the answer is D
Step-by-step explanation:
I think there is a diagram given for the question above. Nevertheless, here is what I have based on my research.
<span>Given: Line segment AB is congruent to line segment AC, angle BAD is congruent to CAD
Prove: line segment AD bisects line segment BC
</span>
<span>Statements:
1. line segment AB is congruent to line segment AC
2. angle BAD is congruent to angle CAD
3. line segment AD is congruent to line segment AD
4. Triangle BAD is congruent to triangle CAD
5. line segment BD is congruent to line segment CD
6. Line segment AD bisects line segment BC
Reasons:
1. Given
2. Given
3. Reflexive Property
4. SAS
5. </span><span>CPCTC Theorem</span><span>
6. Definition of Segment Bisector</span>
Let's first put 8/9 and 5/12 in simplest form.
We need to have the denominators at the same value by find the greatest common multiple.
The GCM of 9 and 12 is 36. By making both denominators 36, we also have to change the numerator.
36/9 is 4 so the numerator of 8/9 has to be multiplied by 4, making that 32/36.
36/12 is 3 so the numerator of 5/12 has to be multiplied by 3, making that 15/36.
Now, that we have the same denominators, we can subtract.
32/36-15/36 can be done simply by just subtracting the numerators together. Remember, the denominators stay the same.
32/35-15/36 = 17/36
Since there is no least common multiple of 17 and 36, then 17/36 is the final answer.
Answer:
x = 10
Step-by-step explanation:
l n 20 + l n 5 = 2 l n x
ln (20×5) = ln x²
ln(100) = lnx²
100 = x²
x = +/- 10
Since logs of negative numebrs don't exist, we reject -10
Answer:
Ix-7.5I=5.5
Step-by-step explanation:
13+2=15
b=midpoint
15/2=7.5
x-7.5=c
13-7.5=5.5
7.5-2=5.5
Answer= Ix-7.5I=5.5
