Answer:
n° = 62°
p° = 62°
q° = 118°
v° = 84°
w° = 138°
Step-by-step explanation:
angle ABC is 118°
so
m° + 118° = 180
m° = 180° - 118°
m° = 62°
n° = m° = 62° (corresponding angles are equal since AB is parallel to DC, and BC)
p° = n° = 62° (vertical angles are equal)
q° + n° = 180° (linear pair angles)
q° + 62° = 180°
q° = 180° - 62°
q° = 118°
v° + 96° = 180° (linear pair angles)
v° = 180° - 96°
v° = 84°
w° + 42° = 180 (linear pair angles)
w° = 180° - 42°
w° = 138°
Answer:
- <em>0.75</em><em> liters of 5% hydrochloric acid solution </em>
- <em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>
Step-by-step explanation:
Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.
As Rajan need total of 1 liter of solution, so
i.e
--------------------1
As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so
![0.05x+0.45y=1\times 0.15](https://tex.z-dn.net/?f=0.05x%2B0.45y%3D1%5Ctimes%200.15)
i.e
-------------2
Putting value of x from equation 1 in equation 2,
![\Rightarrow 5(1-y)+45y=15](https://tex.z-dn.net/?f=%5CRightarrow%205%281-y%29%2B45y%3D15)
![\Rightarrow 5-5y+45y=15](https://tex.z-dn.net/?f=%5CRightarrow%205-5y%2B45y%3D15)
![\Rightarrow 5+40y=15](https://tex.z-dn.net/?f=%5CRightarrow%205%2B40y%3D15)
![\Rightarrow 40y=15-5=10](https://tex.z-dn.net/?f=%5CRightarrow%2040y%3D15-5%3D10)
![\Rightarrow y=0.25](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D0.25)
Putting the value of y in equation 1,
![x=1-0.25=0.75](https://tex.z-dn.net/?f=x%3D1-0.25%3D0.75)
Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.
Answer:
If ab=12 and a2+b2=25 then,
(a+b)2=a2+b2+2ab
a+b=√25+24
a+b=√49
a+b=7
Step-by-step explanation:
brainliest pls?
Answer:
Step-by-step explanation: