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
you can use formular method or factorisation but formular method is easy and convinient
Answer: 45 miles in one hour
Step-by-step explanation:
Solve for t. Simply sense its +1, do the opposite and minus 1 from both sides of the equation. +1 - 1 = 0; -3 -1 = -4. Therefore, t = -4 is the correct solution.
Answer:
4 units
Step-by-step explanation:
The area (A) of a trapezoid is calculated using the formula
A =
h(a + b)
where h is the height and a, b the bases
here A = 46, a = 6 and b = 17, hence
46 =
h(6 + 17) ( multiply both sides by 2 )
92 = h(23) ← divide both sides by 23 )
h =
= 4 units