It always helps to draw a picture. Given the information, Segment OF is the center line that is bisecting this angle.
Since it's bisecting (cutting in half)... we can simply set the two angles equal to each other.
y+30=3y-50
-2y+30=-50
-2y=-80
y = 40
C)40.
No because if you plug in 4 for x and 5 for y you get -4 not 36
V * v = v^2
v * -8 = -8v
8 * v = 8v
8 * -8 = -64
v^2 - 8v + 8v - 64
v^2 - 64
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This was using the distributive property or using the FOIL method</span>
Answer:
m∠KIJ = m∠LIM ⇒ answer B
Step-by-step explanation:
* Lets explain how to solve the problem
∵ I is the mid-point of NH
∴ IN = IH
- MJ is perpendicular to NH and passes through I the mid-point of NH
∴ MJ is perpendicular bisector of NH
- NH ⊥ MJ and intersects it at I
∴ m∠NIM = m∠NIJ = 90°
- ∠ NIM consists of two angles ∠NIL and ∠MIL
∵ m∠NIM = m∠NIL + m∠MIL
- ∠NIJ consists of two angles ∠NIK and ∠JIK
∵ m∠NIJ = m∠NIK + m∠JIK
∴ m∠NIL + m∠MIL = m∠NIK + m∠JIK ⇒ (1)
∵ NH bisects ∠KIL
∴ m∠NIL = m∠NIK ⇒ (2)
- From (1) and (2)
∴ m∠MIL = m∠JIK
* m∠KIJ = m∠LIM
Answer: 33 gallons
Step-by-step explanation:
We initially have 130 gallons of a 
acid solution and we need to change it to a 
acid solution, and for that it is necessary to evaporate 
gallons of water.
So, this situation can be mathemtically expressed as follows:
Then:
Isolating :
Hence, we need to evaporate 33 gallons of water.
