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 <<<<<<<
The bus drops Nigel off 64 miles away from the school.
Step by step Explanation:
An equation for this would be 312-14-234 (this was the equation I used. Since you would do left to write to solve the equation, you would do, 312-14 which equals 298. Then, the equation is left as 298-234, and when you solve that part to the equation, yoh would be getting 64. And that's how you would get the answer 64miles away from the school.
Factoring f(x) would give a factor (x-1-2i), so you can divide f(x) by this, leaving (x-3)(x+4)(x-1+2i), so the other roots are:
x=3
x=-4
x=1-2i
Answer:
x=-3
Step-by-step explanation:
-2x2=-4
-4-16x-44=0
combine like terms (-4,-16)
-48-16x=0
move the 16x to the other side of the equal sign (add 16 since its -)
-48=16x
you need x alone so you need to divide by 16
-3=x
Answer:
Step-by-step explanation:
Divide both sides by 5:
Cancel logarithms by taking exp of both sides:
Solve for x subtracting 4 from both sides:
