X + x + 36 = 90
2x = 54
x = 27 Answer
Given that a company budgeted 5 1/4 hours to complete a project, determine how much time they spent on research if they spent 1/3 of the total budget.
First, convert the budget from hours into minutes.
5 1/4 hours = 315 minutes
1 hour = 60 min
1/4 hour = 15 min
60 x 5 = 300
300 + 15 = 315
Then, divide the minutes by 3 or multiply it by 1/3.
315 / 3 = 105
315 x 1/3 = 105
Lastly convert to a mixed number.
1 3/4 hour
Thus, the company plans to spend 1 3/4 hours or 1 hour and 45 minutes on research.
Answer:
Step-by-step explanation:
here

<h3>area of shaded figure= </h3>
<h2>area of whole rectangle</h2>
= lengthx breadth=15x30= 450 cm²
<h3>area of unshaded region= lengthx breadth= (30-8)x 15cm²= 22x 15cm²= 330cm²</h3>
<h3>are of shaded region</h3>
= area of whole rectangle -area of unshaded region= 450cm²-330cm²= 120cm²
therefore 120 is correct answer
Answer:
Given : PS = QR
∠PRS = ∠RPQ
PR = PR (On the same base)
Proof / Reason :
∠PRS = ∠RPQ (R)
PS = QR (H)
PR = PR (S)
Therefore, Triangle PRS is congruent to Triangle RPQ
∠PSR = ∠RQP By C.P.C.T. ( Congruent Parts Of Congruent Triangles)
Thanks!