Answer:
<em>See Reasoning Below</em>
Step-by-step explanation:
To prove that AB = BL, or in other words AB ≅ BL, let us consider the triangles CED and BEL. If we were to prove they were congruent, then by CPCTC ( corresponding parts of congruent triangle are congruent ) DC ≅ BL. As AB ≅ DC by " Properties of Parallelogram " it would be that through transitivity, AB ≅ BL / AB = BL;
Now for " part 2 " we can consider that AB = DC, from part 1. If AB = BL, then AL = 2 ( AB ) by the Partition Postulate. AB = DC, so we can also say that AL = 2 ( DC ) - Proved
See attachment in statement reasoning form for part 1;
Answer:
Joyce has total 62 colored beads.
Step-by-step explanation:
For making groups of 9, let the number of beads be x.
total beads = 9x + 8
For making groups of 8, let the number of beads be y.
total beads = 8y + 6
As the total number of beads in both cases are same so,
9x + 8= 8y + 6
or, 9x-8y = -2
Now lets check the values through hit and trial;
First check; x=6, y=7
9*6 - 8*7 = -2
or, 54- 56 = -2
or, -2 =-2
This satisfies our equation.
Hence; Total beads = 9*6 + 8 = 62
The total number of beads joyce had is 62.
Answer:
86
Step-by-step explanation:
150 - (2 + x)³
=> 150 - (2 + 2)³
=> 150 - (4)³
=> 150 - 64
=> 86
Therefore, 86 is the correct answer.
Answer:
Index fossil, any animal or plant preserved in the rock record of the Earth that is characteristic of a particular span of geologic time or environment. A useful index fossil must be distinctive or easily recognizable, abundant, and have a wide geographic distribution and a short range through time.
Step-by-step explanation:
