A baker must spend no more than $400 to order eggs for cookies and cupcakes. Supplies for each batch of cookies costs $2, and su
pplies for each batch of cupcakes costs $10. This relationship is shown in the graph. The baker needs to make at least 20 more batches of cookies than cupcakes. Which choice is a reasonable solution?
A.)60 batches of cookies and 40 batches of cupcakes B.)20 batches of cookies and 40 batches of cupcakes C.)40 batches of cookies and 20 batches of cupcakes D.)30 batches of cookies and 30 batches of cupcakes
A.)60 batches of cookies and 40 batches of cupcakes B.)20 batches of cookies and 40 batches of cupcakes C.)40 batches of cookies and 20 batches of cupcakes D.)30 batches of cookies and 30 batches of cupcakes
2 answers:
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First we need to establish the fact that angles on a straight line ALWYS add up to 180
So, we solve the equation for x which turns out to be 3
But,were not done. The question asks us to find the value of the angle BOC
so we substitute the value of x into the equation for BOC (which is 6x+29)
And then your answer is 47 degrees
So, we solve the equation for x which turns out to be 3
But,were not done. The question asks us to find the value of the angle BOC
so we substitute the value of x into the equation for BOC (which is 6x+29)
And then your answer is 47 degrees
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Answer:
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An angle bisector divides an angle in half, therefore:
m∠VUW ≅ m∠WUT
Set the expressions equal to each other:
4x + 6 = 6x - 10
Subtract 4x from both sides:
6 = 2x - 10
Add 10 to both sides:
16 = 2x
Divide 2 from both sides:
x = 8.
Substitute in the value of "x" into the equation for ∠WUT:
6(8) - 10 = 48 - 10 = 38°.