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:
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Step-by-step explanation:
To find the slope through 2 points
m = ( y2-y1)/(x2-x1)
= ( -4 - -3)/(3 - 3)
= ( -4+3)/(3-3)
= -1/0
Since it is a number divided by zero, the slope is undefined
Answer:
-184
Step-by-step explanation:
First we plug in -14 into the x's.
4 (-14) - 8(2 - (- 14))
Then we can distribute the 8.
4 (-14) - 16 - 112
Then solve from here.
-56 - 16 - 112
= -184
Answer:
See explanation
Step-by-step explanation:
Consider triangles CAX and BAX. In these triangles,
- given
- given
- reflexive property
By SAS postulate, 
Congruent triangles have conruent corresponding parts. So,
Consider triangles CXY and BXY. In these triangles,
- - proven
- given
- reflexive property
By SAS postulate, 
Congruent triangles have conruent corresponding parts. So,
