Answer:
ASA and AAS
Step-by-step explanation:
We do not know if these are right triangles; therefore we cannot use HL to prove congruence.
We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.
We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.
Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.
Step-by-step explanation:
if 70% of the orice is 420 then
70x = 100 × 420
70x = 42000
x = 42000/70
x = 600
Answer:
3.5 cm
Step-by-step explanation:
Perimeter of rectangle = 2 × (w + h)
w = width
h = height
We have: 2 x (w + 6) = 19
w + 6 = 19 : 2 = 9.5
w = 9.5 - 6 = 3.5 (cm)