Choose the place where the digit 1 sits in this number. 988,172,430,056
2 answers:
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Here's how it's solved.. ツ
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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>
Answer:
Corresponding side of AB is FE
Corresponding side of CB is DE
Corresponding side of AC is FD
Step-by-step explanation:
Given
and
See attachment for triangles
Solving (a): Corresponding side of AB
Going by the names of the triangle, the corresponding sides are:
AB and FE; CB and DE; AC and FD
Hence, the corresponding side of AB is FE
Solving (b): Corresponding side of CB
This has been solved in (a) above.
The corresponding side of CB is DE
Solving (c): Corresponding side of AC
This has been solved in (a) above.
The corresponding side of AC is FD
Solving (d): Scale factor from ABC to FED
To do this, we simply divide the lengths of corresponding sides.
The scale factor k is:
Solving (e): Length of DE
We make use of the scale factor calculated in (d) above
Solving (f): Length of FD
Using Pythagoras:
