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:
1/15
Step-by-step explanation:
since there are 3 equal colors, they're all 1/3
since it's 5, it's 1/5
1/5 x 1/3
1/15
Answer:
x=
−1
2
y+
25/2
Step-by-step explanation:
Let's solve for x.
2x+1y=25
Step 1: Add -y to both sides.
2x+y+−y=25+−y
2x=−y+25
Step 2: Divide both sides by 2.
2x
2
=
−y+25
2
x=
−1
2
y+
25
2
They are Vertical Angles as they are directly across from one another.
Answer:
x = 14
Step-by-step explanation:
Let's solve your equation step-by-step.
6(x − 5) = 54
Step 1: Simplify both sides of the equation.
6(x − 5) = 54
(6)(x) + (6)(−5) = 54(Distribute)
6x + − 30 = 54
6x − 30 = 54
Step 2: Add 30 to both sides.
6x − 30 + 30 = 54 + 30
6x = 84
Step 3: Divide both sides by 6.
6x/6 = 84/6
x = 14
