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.
Answer:
1/30 of a scale.
Step-by-step explanation:
Multiply the 20 by 12 to convert it to inches. Then divide the answer by 8 to get the scale.
Answer:
it 152.3
Step-by-step explanation:
Short answer: B
Remark
A 45 degree angle means that the height is the same length as part of the base. But which part?
Givens
b1 = 9 feet
b2 = 23 feet
and the 45 degree angle on the right.
Determine the height.
The part of the base that is associated with the 45 degree angle is found by subtracting b1 from b2
b2 - b1 = 23 - 9 = 14
So 14 is also the height
Find the Area
A = 1/2 (b1 + b2)*h
b1 = 9
b2 = 23
h = 14
Area = 1/2(9 + 23) * 14
Area = 1/2 (32) * 14
Area = 16 * 14
Area = 224 <<<< answer
X= -3
4(-3) = -12
-12-5= -17
