Answer:
Step-by-step explanation:
∠NPK = 180° {straight line}
∠NPM + ∠MPL + ∠LPK = 180°
∠NPM + 63 +90 = 180
∠NPM + 153 = 180
∠NPM = 180 - 153
∠NPM = 27°
∠JPK = ∠NPM {Vertically opposite angles}
∠JPK = 27°
∠NPK = 180° {Straight line angle}
∠NPJ + ∠JPK = 180
∠NPJ + 27 = 180
∠NPJ = 180 - 27
∠NPJ = 153
The answer for 4x10^2 would be 400
Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
- 6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
- 12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
<u>Slopes equal:</u>
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
<u>y-intercepts equal:</u>
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
All you have to do is multiply 84 by 25%
And that's your answer.
I hope this helped
-8x - 8.
16x - 24 x = -8x
-12 + 4 = 8
