In the given diagram, the traingles USW and UTV are similar triangles and thus the following ratio equality applies to them.
..........(Equation 1)
Checking the diagram given, we see that:
VT=y, WS=22, VU=8, ST=x-2
WU=WV+VU=12+8=20
TU=5
SU=ST+TU=(x-2)+5=x+3
Thus, substituting the required values in (Equation 1) we get:
Now, as can be clearly seen, to find y we will use the first two ratios as:
In a similar manner, to find the value of x we can use the last two ratios:
After cross multiplication we get:
Which can be simplified as:
Thus, 
Therefore, the required answer is:
x=9.5 and y=8.8
Answer:
m=-1
Step-by-step explanation:
2.3-5m=9.8+2.5m
+5m=9.8+5m
2.3=9.8+7.5m
-9.8 -9.8
-7.5=7.5m
/7.5 /7.5
-1=m
Answer:
$104
Step-by-step explanation:
So, in one hour it would cost $13. Times 8, because we want to see what would be the cost for 8 hours, and 8 times 13 is 104.
y -
y1 = m (x - x1)
where m is the slope and (x1 , y1) is the point given
m = (y2-y1)\(x2-x1)
we have <span>(-5,-3) and (6,1)
so: m = (1- -3) / (6- -5) = (1+3)/(6+5) = 4/11
and the equation of the line is:
</span>y -
y1 = m (x - x1)
y-1 = 4/11 (x-6)
simplify:
y = 4/11 x - 24/11 +1
I hope that
helps!
Answer:
x = 21º
Step-by-step explanation:
∆ ABC is isosceles therefor
Angles B and C are congruent
(180 - 18)/2 = 162/2 = 81º
------------------
∆ BCD is equilateral therefor all angles are 60º
---------------------------
x = = 81 - 60
x = 21º
