Answer:
Step-by-step explanation:
The attached photo shows the diagram of quadrilateral QRST with more illustrations.
Line RT divides the quadrilateral into 2 congruent triangles QRT and SRT. The sum of the angles in each triangle is 180 degrees(98 + 50 + 32)
The area of the quadrilateral = 2 × area of triangle QRT = 2 × area of triangle SRT
Using sine rule,
q/SinQ = t/SinT = r/SinR
24/sin98 = QT/sin50
QT = r = sin50 × 24.24 = 18.57
Also
24/sin98 = QR/sin32
QR = t = sin32 × 24.24 = 12.84
Let us find area of triangle QRT
Area of a triangle
= 1/2 abSinC = 1/2 rtSinQ
Area of triangle QRT
= 1/2 × 18.57 × 12.84Sin98
= 118.06
Therefore, area of quadrilateral QRST = 2 × 118.06 = 236.12
<span>from the whole price,
15% of this price is equal to $18.00.
therefore if 15 % equals $18.00
then 100% is the original price therefore 100 % = 18.00 / 15 % x 100% = $120 therefore original price = $120</span>
Surface area = 2(12*12+15*12+15*12) = 1008
1008 * 4 = 4032
The perimeter of the square is: ft
Step-by-step explanation:
The picture is attached with the answer.
the diagonal of a square divides it into two right angled-triangles.
We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle
Let a be the side of the square, then according to Pythagoras theorem
Dividing both sides by 2
Taking Square root on both sides
Now,
Hence,
The perimeter of the square is: ft
Keywords: Perimeter, Pythagoras Theorem
Learn more about Square at:
#learnwithBrainly
Answer:
x=89
Step-by-step explanation:
180-91=89