Remark
The trick here is to remove the brackets carefully. Once you have done that the problem is almost solved.
- 2 = - (n - 8) Multiply both terms inside the brackets by - 1
-1 * n = - n
-1 * -8 = + 8 Be very careful with that. Make sure you understand that two minus's make a plus.
- 2 = - n + 8 Add n to both sides.
-2 + n = -n + n + 8
-2 + n = 8 Add 2 to both sides.
-2 + 2 + n = 8 + 2
n = 10
You should check this.
-2 = -(10 - 8)
-2 = -(2)
- 2 = - 2 and it checks.
18 - (-f) = 91
Subtracting a negative value changes to addition:
18 + f = 91
Subtract 18 from both sides:
F = 73
3. 152 i think that is it
3*9= 27
23/9= 2.5
If they have the same number of chickens.
There ya go
Step-by-step explanation:
20.
In each proof, start by looking at what you're trying to prove. We want to prove that two triangles are congruent. To do that we use one of the following: SSS, SAS, ASA, or AAS.
To decide which one to use, look at the information given. We're given two pairs of congruent sides, so we can narrow the strategy down to either SSS or SAS. We aren't told anything about the third pair of sides, but we <em>can</em> see that ∠JNK and ∠MNL are vertical angles. We'll use this to show the triangles are congruent by SAS.
1. JN ≅ MN, Given
2. ∠JNK ≅ ∠MNL, Vertical angles
3. NK ≅ NL, Given
4. ΔJNK ≅ ΔMNL, SAS
21.
Repeat the same steps as 20. Again, we're trying to prove two triangles are congruent, so we have 4 strategies to choose from. Just like before, we're given two pairs of congruent sides, so we'll use either SSS or SAS. And again, we aren't told anything about the third pair of sides, but we can see that both triangles are right triangles. So we'll use SAS again.
1. MN ≅ PQ, Given
2. ∠LMN ≅ ∠NQP, Right angles are congruent
3. LM ≅ NQ, Given
4. ΔNML ≅ ΔPQN, SAS
