S = (-5,0)
T = (2,1)
Step-by-step explanation:
Step 1 :
Given
Q = (3,6) and R = (-4,5). P = (-1,3)
Let S be (a,b) and T be (c,d)
The diagonals of a parallelogram bisect each other. so in order to ensure that QRST is a parallelogram, P must be the mid point of the diagonals QS and RT.
Step 2 :
P is the midpoint of QS
So we have (3+a) ÷ 2 = -1 and (6 + b) ÷ 2 = 3
=> 3 + a = -2 and 6 + b = 6
=> a = -5 and b =0
So S should be (-5,0)
Step 3 :
P is the midpoint of RT
So we have (-4+c) ÷ 2 = -1 and (5 + d) ÷ 2 = 3
=> -4+ c = -2 and 5 + d = 6
=> c = 2 and d =1
So T should be (2,1)
Step 4 :
Answer :
S = (-5,0)
T = (2,1)
Answer:
The gain is of $17.50
Step-by-step explanation:
When you buy the bond the exchange rate is $1.50 = £1.
You pay £45 = 
=$67.50 for the British bond.
No, you sell the bond for £50 and the exchange rate is $1.70 = £1.
So, you earned 
dollars
Your gain is 
= $17.50
Answer:
Pythagorean Theorum is defined in Mathematics by a^2 + b^2 = c^2.
One leg (a) is 5. The other leg (b) is 13.
Let's use Pythagorean Theorum.
5^2 + 13^2 = c^2
5 • 5 = 25
13 • 13 = 169
25 + 169 = 194.
Step-by-step explanation:
Hope this helps
Answer: for a the answer is 140° and for b x=25°
Step-by-step explanation:
for a, when you have 2 parallel lines cut by a transversal,the corresponding angles are congruent. and the angle140 is congruent to the corresponding angle as they are vertical angles are congruent.
for b, angle x is congruent to the angle that is supplementary to 155 therefore 180-155=25°
