Answer:
ΔLMN ≅ ΔLQP by (SAA)
Step-by-step explanation:
It is given that line (NM) is congruent to the line (PQ), meaning they have the same measure. This is signified by the small red line on each of these sides.
Moreover, it is also given that angle (MNL) is congruent to angle (QPL), this is shown by the red arc around these angles.
Finally one can figure out that angle (NLM) is congruent to angle (PLQ) by the vertical angles theorem. The verticle angles theorem states that when two lines intersect, the opposite angles are congruent.
Thus the two triangles are congruent by side-angle-angle postulate, abbreviated as (SAA).
Angle OPM and Angle LMK
When angles are corresponding, they're essentially on the same side. It's sort of hard to explain, so I'll attach a drawing. The one on the left with the check mark is a corresponding angle, and the one on the right with the X is a same-side angle. Essentially, corresponding angles are on the same side and are also equal, unlike same-side angles, which are supplementary angles.
Let me know if you don't understand my explanation.
-T.B.
It goes 19 1 and 4ths to the area surface
Answer: Robert ran faster than Jocab
Step-by-step explanation:
Convert the improper fraction to a proper fraction
Jocab = 5miles in 1 1/2 hours, therefore, 1 1/2 hours = 3/2 hours, to convert to minute will be 3/2 x 60 = 90 minutes
Robert = 3 miles in 3/4 hours = 45 minutes
If Robert runs 3 miles in 45 minutes, by the end of 90minutes, Robert would have covered 6miles, while Jocab covered 5miles in 90 minutes, therefore, Robert ran faster than Jocab.
Answer:
About 3.29 miles long for each section
Step-by-step explanation:
Find unit rate so 112/34 and you’d get 3.29 rounded.
