Answer: this theorem is true.
Step-by-step explanation: this theorem is in fact true. perpendicular lines mean one line cuts through another line and forms 90 degree angles. if two lines were to cut through the same line, then both lines would have to be parallel to each other considering the definition of perpendicular lines. for example in the picture both lines are completely horizontal making them form 90 degree angles. if these lines did not form 90 degree angles then they would not be perpendicular and at some point would cross paths. however they are straight meaning they will never touch, hence the parallel line definition.
Answer:
Sian would receive 20 Pounds while Abigail would receive 10 Pounds.
Step-by-step explanation:
Given that Sian is twice as old as her sister Abigail, it means that if Abigail's age is T years then Sian's age would be 2T years.
If they divide 30 pounds in the ratio of their ages, the ratio of their ages will be
T : 2T (Ratio of Abigail's gae to Sian's age)
The amount received by Abigail
= T/(T + 2T) × 30
= T/3T × 30
= 1/3 × 30
= 10 Pounds
The amount received by Sian
= 2T/(T + 2T) × 30
= 2T/3T × 30
= 2/3 × 30
= 20 Pounds
You can find this using the saying "is over of equals % over 100."
Meaning, 194.70/220 = x/100. Solve for X.
X = 11.5%
Answer:
I am not sure, but I think you would check for the side with the longest length(hypothenuse) and check if the formula of a^2+b^2=c^2(side with the longest length) satisfies it.
Rectangle = 9*5=45
Triangle= 1/2 * 10 * 3 = 15
Add the two shapes: 45+15 = 60 sq units
