Answer:
Step-by-step explanation:
Final step: Check your answer.
We know that m<JKL = m<JKM + m<MKL
Let's substitute the values from the picture into our equation above.
10x - 11 = 43 + 8x - 20
Combine like terms.
10x - 11 = 8x + 23
Subtract 8x from both sides and add 11 to both sides.
2x = 34
Divide both sides by 2
x = 17
m<MKL = 8x - 20 = 8(17) - 20 = 136 - 20 = 116 degrees.
m<JKL = 10x - 11 = 10(17) - 11 = 170 - 11 = 159 degrees.
Answer:
Stock A
Stock B
Step-by-step explanation:
When we say something is increased (or decreased) by a percentage, we mean that the percentage of the original amount is added to (or subtracted from) the original amount.
Of course, you know that 5% = 5/100 = 0.05, so that an increase of 5% in d would be ...
d + 0.05d . . . . . 5% of the original amount (d), added to d
Factoring out d gives another version of this expression:
d(1 +0.05)
and combining the numbers gives yet another version of the same expression:
1.05d
These are the ways that the increase in Stock A can be expressed:
d +0.05d
d(1 +0.05)
1.05d
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Similarly, if the "increase" is negative, as for Stock B, we can use the same sorts of expressions. +0.05 gets replaced by -0.05, but the form of the expression is the same.
d - 0.05d . . . . . the original amount decreased by 5%
d(1 -0.05) . . . . .d factored out
0.95d . . . . . . . . the numerical coefficient simplified
Answer:
the answer to this problem would be 8.
