I'll markas brainliest!! A student expanded an expression, as shown. Is the student's work correct? Explain why or why not.
1 answer:
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Answer: The length of is 30.
Step-by-step explanation:
-According to the figure, Δ is congruent to Δ
.
So, if the length of is 30, then the length of
is also 30, because
.
Let 
be the number of strawberry cupcakes, and 
the number of chocolate cupcakes.
From our problem we know that the total number of cupcakes is 180, so
. We also know that the number of chocolate cupcakes is eighteen more than twice the number of strawberry cupcakes, so 
, or solving for : 
.
Know we have our system of equations:
We can conclude that the correct answer is <span>B. c + s = 180 c = 2s + 18.
Lets solve our equations to find how many cupcakes of each they have:
from our second equation we know that </span>; lets replace that value in our first equation to find the number of strawberry cupcakes:
<span>Now that we know the number of strawberry cupcakes, lets replace that value in our second equation to find the number of chocolate cupcakes:
</span>
As a bonus, we can conclude that the <span>math club have 126 chocolate cupcakes and 54 strawberry cupcakes. </span>
From our problem we know that the total number of cupcakes is 180, so
Know we have our system of equations:
We can conclude that the correct answer is <span>B. c + s = 180 c = 2s + 18.
Lets solve our equations to find how many cupcakes of each they have:
from our second equation we know that </span>
<span>Now that we know the number of strawberry cupcakes, lets replace that value in our second equation to find the number of chocolate cupcakes:
</span>
As a bonus, we can conclude that the <span>math club have 126 chocolate cupcakes and 54 strawberry cupcakes. </span>