Answer: The most important aspect in doing algebra is having a pen/pencil and paper in hand. It'll give you a better understanding of the question being posed.
Answer:
The perimeter is 44cm.
Step-by-step explanation:
The perimeter is the length of all the sides. So, to calculate the perimeter, add all the sides together.
However, there are two sides that do not have a measure written. So we must first calculate them:
The long vertical side can be calculated by subtracting the other vertical sides by the long bottom side:
14 - 5 - 6 = 3cm
The missing horizontal side can be found by subtracting the leftmost side by the shorter horizontal sides:
8 - 3 - 2 = 3cm
Now, add them all together:
8cm + 5cm + 3cm + 3cm + 3cm + 6cm + 2cm + 14cm = 44cm
TQRS is an inscribed quadrilateral.
5 x - 52° + 3 x + 40° = 180°
8 x - 12° = 180°
8 x = 180° + 12°
8 x = 192°
x = 192° : 8 = 24°
m∠ R = 3 · 24° + 40° = 112°
m∠ T = 5 · 24° - 52° = 68°
m∠ S = 360° - ( 68° + 68° + 112° ) = 112°
Answer:
m∠R, m∠S, m∠T = <span>112°, 112°, 68°.</span>
Answer:
Probability of winning the prize will be 0.222
Step-by-step explanation:
Odd against Deborah's winning the first prize are 2 to 7
Means ratio of unfavorable outcomes to favorable outcomes 
Total number of outcomes = 2+7 =9
We have top find the probability of winning the first prize
So probability 