p→r
<h3>Law of syllogism</h3>
The law of syllogism, also known as transitivity reasoning, is a legitimate kind of deductive reasoning that adheres to a predetermined pattern. The transitive property of equality states that if a = b and b = c, then a = c. so we can conclude that The law of syllogism is almost similar to the transitive property.
now if we want to define general case then we can say tha
a→b
and
b→c => a→c
now according to statements given in the problem
p→q and q→r ⇒ p→r
which completes the syllogism.
hence , p→r is the required answer.
learn more about syllogism here:
brainly.com/question/5142648
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Answer:
Option A
x=6 , y=9
Step-by-step explanation:
As we can see in the figure that point T is the mid point of rectangle and there are two diagonals QS and PR
So in basic geometry we know that the length of the diagonal from the mid point i.e. Taking the diagonal QS the length of QT and TS would be equal because they are same diagonal which is cut into two parts by point T
Similarly the Length of RT and the length of TP would be same
From all this we deduct that
3x = 2y ..................(i)
and
y + 3 = 2x ................(ii)
From equation (i)
3x = 2y
Dividing both sides by 3 the equation becomes
x= 
....................(iii)
Putting this value in equation (ii)
y + 3 = 2()
y+3 =
multiplying both sides by 3
3(y+3)=
the equation becomes
3y+9=4y
subtracting 3y from both sides
3y-3y+9=4y-3y
y=9
Putting the value of y in equation (iii)
x= 
solving it
x= 
x=6
so x=6 and y=9 is answer which is option A
Ok so the answer in here is <span>60 grams of the alloy with 10% of titanium needed and 40 grams of the alloy with 25% of titanium are needed.
Let me explain it to you
</span>let x = grams of alloy A and y = grams of alloy B.
x + y = 100
which is
mass of A + mass of B = 100
and
0.15x + 0.20y = 0.17*100
which is
fractionA*massA + fractionB*massB = fractionTotal*massTotal
<span>0.15(100 - y) + 0.20y = 17
15 - 0.15y + 0.20y = 17
0.05y = 2
y = 40 grams
x = 100 - y = 60 grams</span>
X may have any value except 5.
y may have any value.
