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a = a + d(n-1)
n 1
this is the formula for the arithmetic sequence.
the first sequence is arithmetic
an=1+7(n-1)
the second sequence is also arithmetic
an=12+4(n-1)
Applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi
<em><u>Recall:</u></em>
- The midsegment of a triangle joins two sides of a triangle at their midpoint.
- The third side is the base of the triangle.
- Triangles have three midsegments.
- Based on the midsegment theorem, the length of the midsegment = ½(third side).
The picture given shows a triangle with two midsegments: AB and BC
AB = the distance Ashley will kayak.
BC = the distance Christopher will kayak.
XY = 5 mi (base)
XZ = 6 mi (base)
Applying the midsegment theorem, find AB and BC.
AB = ½(XZ)
AB = ½(6)
AB = 3 mi
BC = ½(XY)
BC = ½(5)
BC = 2.5 mi
Thus, the distance Ashley will kayak more than Christopher = AB - BC
= 3 mi - 2.5 = 0.5 mi.
Therefore, applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi
Learn more about the midsegment theorem on:
brainly.com/question/12234706
Answer:
7 inches by 19 inches
Step-by-step explanation:
We can use a system of equations for this.
<em>x=length</em>
<em>y=width</em>
2x+2y=52 (Perimeter)
xy=133 (Area)
We must find x and y that fit both these equations.
Hope this helps :)
The length above is 13 units.
The length of the grey rectangle below is 4 units, so the length of the white rectangle below is 13 units - 4 units = 9 units.
The width of the white rectangle is 6 units.
A = LW = 9 units * 6 units = 54 units^2
Answer: 54