Angles ∠MOK and ∠NOL are identical by opposite angle theorem.
∠M = ∠N through given information
∠MKO and ∠NLO are congruent. Since the other two angles of each triangle are equivalent, the last angle must be equivalent to the last angle of the other triangle. (180 - ∠1 -∠2 = ∠3); you could also prove ∠MKO = ∠NLO by stating that the opposite sides of the two angles are congruent.
ΔMKO and ΔNLO by Angle-Angle-Side theorem
since ΔMKO and ΔNLO, all corresponding parts of both triangles are congruent, so therefore MO ≅ NO
Answer:
(a) -12
(b) 37
(c) -840
Step-by-step explanation:
We simply have to plug in the values for each expression.
2 + -3(3) - 5 = 2 + -9 - 5 = -7 - 5 = -12
5(2) - 4(-3) + 3(5) = 10 - -12 + 15 = 10 + 12 + 15 = 22 + 15 = 37
7(2^3)(-3)(5) = 7(8)(-15) = 56(-15) = -840
Answer:
10234 is the answer, great question
1/2:5
1:10
2:20
The actual length of the room is 20 feet.
