Answer:
In both cases, we have similar figures.
This means that the shape of the figures is the same, but the size is different:
PQST is similar to STNR and to NRPQ
VUYZ is similar to YZWX and to VUWX
this means that, for example, in problem 18, the ratio between ST and NR must be the same as the ratio between PQ and ST. This happens because the measure increases by the same scale factor.
With this in mind, we can solve the problem:
18)
ST = 7.5
NR = 5.5
Then the quotient ST/NR is:
ST/NR = 7.5/5.5
And, as we said above:
PQ/ST = ST/NR
PQ/7.5 = 7.5/5.5
PQ = (7.5/5.5)*7.5 = 10.23
19) Here we should have:
YZ/VU = WX/YZ
Then:
22.9/35 = WX/22.9
(22.9/35)*22.9 = WX = 14.98
Step-by-step explanation:
Distance between (5,-3) and (9,1)=√(9-5)^2+(1-(-3))^2
=√4^2+4^2
=√16+16
=√32 units
It's not possible to calculate the distance between these points by pythagoras theorem .We can easily calculate it by distance formula I.e.√(x2-x1)^2+(y2-y2)^2
Answer:
Below.
Step-by-step explanation:
Part 1. B. is soluble in water because as the temperature rises the amount of undissolved substance decreases.
Part 2. A is insoluble because the undissolved amount stays the same as the temperature increases.
x/5(10-11) Remember PEMDAS and remember to isolate the variable;)
1. x/5(10-11) =2 (subtract)
2. x/5 * -1 =2 (add +1 to each side)
3. x/5= 3 (multiply both sides by five)
4. x=15