Complete question :
triangle QRS is an equilateral triangle. If QR is seventeen more than twice x, RS is 19 less than six times x, and QS is one less than four times x, find x and the measure of each side.
Answer:
x = 9
All sides have 35 units length
Step-by-step explanation:
Recall: Equilateral triangles have 3 sides, all of equal length.
QR = 2x + 17
RS = 6x - 19
QS = 4x - 1
Take :
QR = RS = QS
To find x
QR = RS
2x + 17 = 6x - 19
2x - 6x = - 19 - 17
-4x = - 36
x = 9
QR = 2(9) + 17 = 35
RS = 6(9) - 19 = 35
QS = 4(9) - 1 = 35
New worth 928,181 that’s the answer
Answer:
FE = 30°
Step-by-step explanation:
arc FGC = arc FG + arc GB + arc BC
220° = 90° + arc GB + 70° . . substitute known values
60° = arc GB . . . . . . . . . . . . . subtract 160°
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External angle A is half the difference of arcs EG and GB:
30° = (1/2)(arc FE +90° -60°) . . . substitute known values
60° = arc FE + 30° . . . . . . . . . . . multiply by 2 and simplify
30° = arc FE . . . . . . subtract 30°
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The key to this problem is the relationship between external angle A and the measures of the arcs it subtends.
A. 80 students
B. 12 students
