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
Answer:
SSS
Step-by-step explanation:
the dividing line would give the triangles the same length for one side, the side it divided, and then it says the triangles are congruent, meaning they are both the same triangle.
I assume this is the intersection of two lines, i.e. -1/2y is (-1/2)y. Please tell me if it's really -1/(2y).
(-1/2)y=(1/2)x+5
Multiplying both sides by -2
y = - x - 10
The other equation is
y = 2x + 2
We can equate them to find the meet
y = - x - 10 = 2x + 2
-3x = 12
x = -4
y = 2x + 2 = -6
Check: (-1/2)y=3, (1/2)x+5=3, equal, good
2x+2=2(-4)+2=-6=y, good
Answer: x=-4, y=-6
Vcylinder = πr2h
After plugging everything in you should get (3.14)(3.9)(30) this simplifies should get you 367.38m^3. Hope this helps!
