Sara is wrong because making 3 cakes instead of 1 would require 2 1/4 cups of sugar. The original 3/4 cups of sugar would be multiplied by 3 (3/1 x 3/4) which would be 9/4, or 2 1/4, cups.
To find a,construct a line that parallel to AB and DE cutting c, which you could refer to the photo((sorry for my terrible diagram ^^;;
from the photo,we can see that
a= <BCG + <GCE
<BCG=44° (alt.<, AB//FG)
<GCE=20° (alt<, FG//DE)
thus,a= 44°+20° =64°
hope it helps!
Answer:
* 5+2k+n
Step-by-step explanation:
Combine all like terms:
7-2 = 5
5k-3k = 2k
n = n
Its an indirect proof, so 3 steps :-
1) you start with the opposite of wat u need to prove
2) arrive at a contradiction
3) concludeReport · 29/6/2015261
since you wanto prove 'diagonals of a parallelogram bisect each other', you start wid the opposite of above statement, like below :- step1 : Since we want to prove 'diagonals of a parallelogram bisect each other', lets start by assuming the opposite, that the diagonals of parallelogram dont bisect each other.Report · 29/6/2015261
Since, we assumed that the diagonals dont bisect each other,
OC≠OA
OD≠OBReport · 29/6/2015261
Since, OC≠OA, △OAD is not congruent to △OCBReport · 29/6/2015261
∠AOD≅∠BOC as they are vertical angles,
∠OAD≅∠OCB they are alternate interior angles
AD≅BC, by definition of parallelogram
so, by AAS, △OAD is congruent to △OCBReport · 29/6/2015261
But, thats a contradiction as we have previously established that those triangles are congruentReport · 29/6/2015261
step3 :
since we arrived at a contradiction, our assumption is wrong. so, the opposite of our assumption must be correct. so diagonals of parallelogram bisect each other.
The solution to a given word problem by writing it as an equation is k = 253/232
<h3>Expressing word problems in mathematical forms:</h3>
The process of expressing word problems in mathematical forms takes a logical and chronological approach while taking the variables and arithmetic operations given into consideration.
From the given information, to express the word problem in mathematical form, we have:
Making k the subject of the equation, we have:
k = 253/232
Learn more about expressing word problems here:
brainly.com/question/10556265
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