The perimeter of parallelogram pqrs is 84. find the length of each side of pqrs when pq=qr and rs=sp-7

Step-by-step explanation:

Since all four sides of $PQRS$ are equal, $PQRS$ is a rhombus so that $\overline{PR}$ and $\overline{QS}$ are perpendicular bisectors of each other. Let $\overline{PR}$ and $\overline{QS}$ intersect at $M$.

[asy] unitsize(1 cm); pair A, B, C, D, M; A = (0,1); B = (2,0); C = (0,-1); D = (-2,0); draw(A--B--C--D--cycle); draw(A--C); draw(B--D); label("$P$", A, N); label("$Q$", B, E); label("$R$", C, S); label("$S$", D, W); label("$M$", M, NE); [/asy]

Then $PM=7$ and $QM=24$, so that $PQ=25$ by Pythagorean theorem. Hence, the perimeter of $PQRS$ is $4 \cdot 25 = \boxed{100}$.

yes. we do proportions in probabilities.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950