Answer:
Yes it is a right triangle.
Step-by-step explanation:
Because the Pythagorean Theorem states that 
I think the answer is 15.6
Hi! both of the data sets have 15 dots! so the difference is zero! ( 0 )
Answer:
53.3 degrees
Step-by-step explanation:
∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:
DE corresponds to RS
EF corresponds to SQ
DF corresponds to RQ.
Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.
The ratio of their corresponding sides = DE/RS = 6/3 = 2
EG/SQ = 8/4 = 2
DF/RQ = 4/2 = 2.
Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.
Therefore, their corresponding angles would be equal.
Thus, m<Q = m<F
Let's find angle F
m<F = 180 - (98 + 28.7)
m<F = 53.3°
Since <F corresponds to <Q, therefore,
m<Q = 53.3°
Answer:
541.7 (m2)
Step-by-step explanation:
Applying the sine theorem:
WV/sin(X) = XV/sin(W)
=> WV = XV*sin(X)/sin(W) = 37*sin(50)/sin(63) = 31.81
Angle V = 180 - X - W = 180 - 50 - 63 = 67
Denote WH is a height of the triangle VWX, H lies on XV
=> WH = WV*sin(V) = 31.81*sin(67) = 29.28
=> Area of triangle VWX is calculated by:
S = side*height/2 = XV*WH/2 = 37*29.28/2 = 541.7 (m2)
