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.
When you add 4 to 25 you get 21 then subtract 11 and get 10 and then add 15 which is equal to 25 and then subtract 13.
the answer is 12
Answer:216
Step-by-step explanation:
We let x to represent the number of other nuts
Peanut : other
5 : 3
360 : X
Then we cross multiply
5 × x = 360 × 3
5X = 1080
Divide bothside by 5
5X/5 = 1080/5
X = 216
Therefore the number of other nuts in the can is 216.
Diagonal = SQRT(8^2 + 12^2 + 30^2)
Diagonal = SQRT(64 + 144 + 900)
Diagonal = SQRT(1108)
Diagonal = 33.3 feet
So you would take 3x1+2 that gives you 5 and you would keep the same denominator and so that would give you 5/3 then do the same to the other side which would give you 5/4 then you would times it and that would give you 2 1/12
