As shown in the given figure
line a // line b ⇒ given
MR and NP are transversals
So, for ΔMOP and ΔRON , we can conclude the following
(1) ∠1 = ∠2 ⇒⇒⇒ alternative angles are congruent
(2) ∠ MOP = ∠ RON ⇒⇒⇒ vertical angles are congruent
(3) ∠ 4 = ∠ 3 ⇒⇒⇒ alternative angles are congruent
So, from 1,2 and 3
∴ ΔMOP <span>~ </span>ΔRON by AAA-Rule
To write this as a numerical expression, you will think of the different parts of the math story that are occurring and put them together in one math statement. You have 12 books being ordered that are $9 each AND are paying a $15 shipping charge. This can be written as 12 x $9 + $15. There are 2 terms here - these are the 2 parts! Multiply 12 times 9 first to get $108, then you can add the $15 shipping fee. You can only add units that are the same, so you must multiply first. Your answer statement is a sentence that gives your final answer in a complete sentence. For example, the total cost of Lannie's order is $123.
24cm3 because it says the volume is 24cm3 and the prism measurements are 4x2x4cm
Let's make the mysterious, original price not-so-mysterious by calling it <em>x. </em>245.97 is 3/5 of x.
We can equation this.
245.97 = 3/5x
x = 245.97 / (3/5)
x = 409.95
The answer, I believe, is $409.95. Hope this helps!
Usually when a question is formatted this way without values for either variable, they want a literal equations olving for a varible, which is x in this case.
44x=l
Divide both sides by 44
x=l/44
Final answer: x=l/44