Alright, first thing's first, simplify the equation as much as you can. If you wanted, I suppose you could just multiply everything by 40, but that's super unconventional.
7x/8 - 3x/8 = 1/5 + 3/10
Simplify:
4x/8 = 1/5 + 3/10
Make sure that when subtracting or adding fractions that the denominators (The number on the bottom of the fraction) are equal.
In order to add 1/5 and 3/10 together, all we have to do is ensure that both denominators are equal.
To do this, simply multiply 1/5 by 2/2. The new fraction will be 2/10 (You can do this since it's the exact same fraction, 2/10 will simplify down to 1/5. The reason we did this was to make sure that the two fractions had equal denominators).
Our equation now looks like this:
4x/8 = 2/10 + 3/10
Add the fractions on the right:
4x/8 = 5/10
Huh, whaddya know? Both the fraction on the left and the right can be simplified into 1/2! (4/8 becomes 1/2, and 5/10 becomes 1/2)
1x/2 = 1/2
x/2 = 1/2
If you want to, I suppose you could cross multiply to check, but the answer's already pretty obvious.
x = 1
Good luck! If you need me to explain anything I did here, just ask :))
-T.B.
Answer:
They are asking what line meets that number (5) which should be Line A
Step-by-step explanation:
Answer:
D = 4, Z = 24
Step-by-step explanation:
6D+3Z = 96
5D+4Z = 116
multiply top by 5 and bottom by -6
top equation = 30D+15Z = 480
bottom equation = -30D-24Z = -696
Cancel 30D and -30 D
top equation = 15Z = 480
Bottom equation = -24Z = -696
15Z - 24 Z = 480 - 696
-9Z = 216
Z = 216/9
Z = 24
Now that we have the value of Z, we can substitute it in any equation to find D
6D + 3(24) = 96
6D + 72 = 96
6D = 96 - 72
6D = 24
D = 24/6
D = 4
<h3>
Answer is ED</h3>
note: ED is the same as DE. The order of the segment letters does not matter.
============================================
Explanation:
In the sequence ABC, the letter B is the second letter and A is the first.
So the corresponding segment to BA will have its first slot be the second letter of DEF, and its second slot be the first letter of DEF. That's how I'm getting ED for the answer. It is the same as DE because it's the same segment.
The corresponding sides are congruent due to the CPCTC which stands for "corresponding parts of congruent triangles are congruent".
