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:
x=20 degrees
Step-by-step explanation:
complementary means the angles equal 90 degrees
so ∠A+∠B=90 degrees
∠A=3x-2 and ∠B=x+12
so subsitute
(3x-2)+(x+12)=90
then solve for x
4x+10=90
4x=80
x=20 degrees is your answer
Answer:
a = 14
Step-by-step explanation:
Given
9 + a = 23 ( subtract 9 from both sides )
a = 14
Bonjour!
For A, the two angles are congruent by the Corresponding Angles are Congruent Theorem/Postulate.
For B, the two angles are congruent by the Vertical Angels are Congruent Theorem/Postulate.
As for C, the two angles are congruent by the Same Side Exterior Theorem/Postulate.(Though I am uncertain if that is the correct name for this one)
Hope that helps :)
remember
(ab)/(cd)=a/c times b/d
also
split it up with like terms
times
do subtraction
for a's
12-2=10
b's
8-4=4
answe is
first one
