Answer:
x = 3
y = 15
Step-by-step explanation:
If △XPS ≅△DNF, their corresponding sides would be congruent. This implies that:
XP ≅ DN
PS ≅ NF
XS ≅ DF
Given that:
XP = 4y - 3
DN = 57
NF = 51
XS = 17x + 3
DF = 54
Therefore:
XP = DN
4y - 3 = 57 (Substitution)
Add 3 to both sides
4y = 57 + 3
4y = 60
Divide both sides by 4
y = 60/4
y = 15
Also,
XS = DF
17x + 3 = 54 (substitution)
Subtract 3 from each side
17x = 54 - 3
17x = 51
Divide both sides by 17
x = 51/17
x = 3
Answer:
Get a calculator
Step-by-step explanation:
Most of the time for simple math like multiplying 2 digits, it is easiest if you just get a calculator. It saves a lot of time.
If you can't get a calculator then i recommend memorizing some common equations.
For example 10*15= 150
so that if you get 12*15=?, you can easily just add two extra 15's to your answer of 150.
15+15 is 30, and 30+150(from 10*15)=180.
Therefore 12*15=180.
:) Hope that helped!
Answer: x^2 - y ^2 − 1.5x + 1.5y
Step-by-step explanation:
In this item, it is not given that there has to be specific arrangement or order as to how the questions are going to be answered. Hence, the concept that can be used in order to answer this item is the concept of combination which states that,
nCr = n! / (r!)(n - r)!
This is read as "combination of n taken r". In this item, n = 10 and r = 4. Substituting the known vaues to the equation,
10C4 = (10!) / (4!)(10 - 4)!
10C4 = 210
Therefore, the number of which is which the questions can be answered is 210.
