Answers:
x = 6 and P = 128
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Explanation:
The tangents CT and CU are equal to each other. The rule is that tangent segments that meet at a common point are the same length.
Let's solve for x
CT = CU
3x = 18
x = 18/3
x = 6
Because CT = 18, this makes BC = BT+TC = 12+18 = 30
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For similar reasoning as mentioned earlier, we can say tangents BT and BV are the same length. This means BV = 12.
Segment CD = 52 and CU = 18, which makes UD = CD-CU = 52-18 = 34
From there, we can say segment DV = 34 also. This leads to BD = BV+VD = 12+34 = 46
Triangle BCD has the three sides
The perimeter is
P = sum of the three sides
P = (side1)+(side2)+(side3)
P = BC + CD + BD
P = 30+52+46
P = 82+46
P = 128
Answer:
One solution
Step-by-step explanation:
They have isolated y for you in both equations so you can plug either one into the other.
y = 3x - 1
2x + 7 = 3x - 1
isolate the x
7 = x - 1
x = 8
Go back to the original and plug 8 into x to get y.
y = 2 (8) + 7
y = 16 + 7
y = 23
This means at (8, 23) y = 2x+7 is equal to y = 3x-1. In other words they share a point at (8, 23). This is the only solution because for any other x and y they'd not be equal.
Answer:
448 R50
Step-by-step explanation: