Triangle QRS has 3 congruent sides, so it is equilateral and equiangular.
The sum of the measures of the angles of a triangle is 180 deg, so each angle of triangle QRS is 60 deg.
Angle RQS measures 60 degrees and forms a linear pair with angle PQS. Angles in a linear pair a supplementary. That makes the measure of angle PQS 120 deg. leaving only 60 degrees as the sum of the measures of angles PSQ and SPQ. Triangle PQS is isosceles since sides PQ and QS are congruent. The angles opposite congruent sides of a triangle are congruent, so angle PSQ is congruent to angle SPQ. That means angles PSQ and SPQ measure 30 deg each.
m<PSR = m<PSQ + m<QSR = 30 + 60 = 90
m<PQS = 120
m<PSR : m<PQS = 90 : 120 = 3 : 4
No choice shows the correct answer.
Well its $16
for 4 tickets so u multiply everything by four and get $64 for 16 tickets
5x+12z Because you take, 3z+9z and that is equivalent to 12z. and then you put the 5x back into the equation so it is 5x+12z
Answer:
Step-by-step explanation:
Add on both sides and subtract on both sides to leave x's on the left side and independent values on the right.
Solve the fractions.
Convert the mixed fraction to an improper fraction. You can do this by multiplying 1 times 35 and adding 2.
Now use the reciprocal (inverse fraction) and multiply on both sides to isolate x.
Answer:
x+3
Step-by-step explanation: