Answer:
122 degrees, because x and z are alternate interior angles
122 degrees, because 58 degrees and z are same side interiors which add to 180
Step-by-step explanation:
1) we know that
m∠x=m∠z -----> by alternate interior angles
m∠x+58°=180° ----> by supplementary angles (form a linear pair)
m∠x=180°-58°=22°
therefore
m∠z=22°
2) m∠z+58°=180° ----> by same side interior angles
solve for z
m∠z=180°-58°=122°
therefore
122 degrees, because x and z are alternate interior angles
122 degrees, because 58 degrees and z are same side interiors which add to 180
<em>Find the gradient of the line joining (-1,9) and (3,5)</em>
<em />
Use the slope formula:-
Replace the letters with the numbers:-
On simplification,
On further simplification,
<h3>Good luck with your studies.</h3>
15x - 12
Then you got X= 12/15
Step-by-step explanation:
Using ∆ law of vector addition,
PR→=PQ→+QR→PR→=PQ→+QR→ - (i)
Also,
RP→=RS→+SP→RP→=RS→+SP→ - (ii)
Taking LHS,
=PQ→+QR→+RS→+SP→=PQ→+QR→+RS→+SP→
[Put value of PR→=PQ→+QR→PR→=PQ→+QR→ from equation (i) ]
=(PR→)+RS→+SP→=(PR→)+RS→+SP→
[Put value of RP→=RS→+SP→RP→=RS→+SP→ from equation (ii) ]
=PR→+RP→=PR→+RP→
=PR→−PR→=PR→−PR→
=0=0
RHS
