Answer:
C(50;-20)
Step-by-step explanation:
The question is asking for the midpoint of the line.
The triangle is formed by placing a line directly from the y-axis to the x-axis.
The midpoint theorem is[ (x1+x2)/2 ; (y1+y2)/2 ].
your coordinates at A is (0;-40), because the x value is 0 on the line as shown in the diagram above point A.
Your coordinates for B are (100;0)
C[(x1+x2)/2 ; (y1+y2)/2 ]
C [(0+100)/2 ; (-40+0)/2 ]
C[ 100/2 ; -40/2]
C (50 ; -20)
Answer:
2:1
Step-by-step explanation:
Circle P has radius 14 feet.
The circumference of this circle is given by:
We plug in the radius to get:
Circle Q has diameter 14 feet.
The circumference of this circle is given by
We substitute the diameter d=14 to get,
The ratio of the circumference of P to the circumference of Q is
V of rectangular prism = l * w * h = 12 * 2 * 312 = 7,488 in³
V of one cube with side lengths 12 = l * w * h = 12 * 12 * 12 = 1,728 in³
Divide the volume of rectangular prism by the volume of the cube.
7488 / 1728 = 13 / 3 or 4.3. . .
Step-by-step explanation:
1. You already got the first step, where D is the midpoint of AC and AB is congruent to BC, since it's given.
2. AD will be congruent to DC, via the definition of a midpoint (a midpoint is the middle point of a line segment, and it splits the segment into two congruent parts)
3. BD is equal to BD, via reflexive property. ( It's a shared side between the two triangles)
4. that means that ΔADB ≅ΔCDB via SSS rule.
5. ∠ABD ≅∠CDB by CPCTC (corresponding parts of congruent triangles are congruent)
Hope this helps! :)
