Answer:
Firstly, from the diagram we are given that the length of XB is congruent to BZ, and YC is congruent to CZ. Based on this information, we know that B is the midpoint of XZ, and C is the midpoint of YZ. This means that BC connects the midpoints of segments XZ and YZ. Now that we know this, we can use the Triangle Midsegment Theorem to calculate the length of BC. This theorem states that if a segment connects the midpoints of two sides of a triangle, then the segment is equal to one-half the length of the third side. In this scenario, the third side would be XY, which has a length of 12 units. Therefore, the length of BC = 1/2(XY), and we can substitute the value of XY and solve this equation:
BC = 1/2(XY)
BC = 1/2(12)
BC = 6
Step-by-step explanation:
Please support my answer.
Answer:
85 boys, 110 girls
Step-by-step explanation:
85 boys+25 more girls= 110 girls
110 girls+85 boys= 195 total students
(6b + 42)(b - 3)
To check the answer, use the method FOIL.
Answer:
7
Step-by-step explanation:
Count the numbers in between (0,0) and (0,7).
If a pentagon is regular, then all of the sides are the same length. This means that

So, if
, the lengths of the sides evaluate to

So, all the sides of the pentagon are 21 units long, and AB is 21 units long as well, because all sides are the same length.