Remark
If the lines are parallel then triangle RQS will be similar to triangle RTP
From that, all three lines in one triangle will bear the same ratio to all three lines of the second triangle.
Givens
PQ = 8
QR = 5
RS = 15
ST = x + 3
Ratio
QR/RP = RS/RT
Sub and solve
RP = 5 + 8
RP = 13
RT = 15 + x + 3
RT = 18 + x
5/13 = 15 / (18 + x) Cross multiply
5(18 + x) = 195 Remove the brackets on the left.
90 + 5x = 195 Subtract 90 from both sides.
5x = 105 Divide by 5
x = 105/5
x = 21 Answer <<<<<<<
2 times a number, x, is equal to 6 less than 3 times the number, x.
2x = 3x - 6
-1x = -6
x = 6
The number is 6.
The expression for the total number of miles he drove in the two weeks is m + 153
<h3>How to determine the expression for the total number of miles he drove in the two weeks?</h3>
The given parameters are
Last week = m miles
This week = 153 miles
The expression for the total number of miles he drove in the two weeks is
Expression = Last week + This week
This gives
Expression = m + 153
Hence, the expression for the total number of miles he drove in the two weeks is m + 153
Read more about expressions at
brainly.com/question/723406
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Regular shape with six sides: That is a Hexagon
Sum of angles in a regular Polygon is: (n - 2)*180
Where n = Number of sides
For Hexagon, n = 6.
Sum = (n - 2)*180
= (6 - 2)*180 = 4 * 180 = 720°
