Answer: A) AAS
Step-by-step explanation:
In the given picture we have two triangles ΔVUW and ΔXUY .
WV ≅ YX
∠UYX≅ ∠UYW
Also, it can be seen that ∠XUY and ∠VUW are vertical angles.
[When two lines intersects then they form two pair of angle known as vertical angles ]
Also, Vertical angles are always congruent.
⇒ ∠XUY ≅ ∠VUW
Now , in ΔXUY and ΔVUW, we have
WV ≅ YX
∠UYX≅ ∠UYW
∠XUY ≅ ∠VUW
So by AAS theorem , we have
ΔVUW ≅ ΔXUY
- AAS theorem says that if two angles and a side of a triangle are congruent to two angles and a side of another triangle then the triangles are said to be congruent.
Y=2x+5
sub 2x+5 for y in other equaiton
10x+3(2x+5)=19
distribute
10x+6x+15=19
minus 15 from both sides
16x=4
divide both sides by 16
x=1/4
sub back
y=2x+5
y=2(1/4)+5
y=1/2+5
y=5.5=11/2
solution is (1/4,11/2) or in decimal, (0.25,5.5)
23 is the answer you are looking for.