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kotegsom [21]
4 years ago
10

What is m∠PLM? m∠PLM = __ °

Mathematics
1 answer:
kumpel [21]4 years ago
8 0
Remember that all of the angles on one side of a straight line
add up to 180 degrees.

Here's how to use that factoid to set it up:

The two angles on the same side of the slanted line add up to 180.

           (5k + 20)  +  (3k + 16)  =  180 .

Solve that for 'k'.  Then ... Both angles on the right side of
the vertical line also add up to 180.  So the answer to the
question is 
                        [ 180 - (3k + 16) ].

Just folding my arms and sitting back and looking at all of that,
I got 110 degrees.  Do NOT use that for the answer, but I'll be
curious to see if it's anywhere close.
You might be interested in
Now suppose instead that Jane withdraws $500 from her checking account and uses $300 of this money to pay her federal income tax
zysi [14]

Answer:

Step-by-step explanation:

a. Money held by individuals in savings accounts is part of the M2 money supply, but not part ofthe M1 money supply. Therefore, when Jane withdraws $500 cash from her savings account,the M1 money supply increases by $500. However, the M2 money supply does not changebecause the M1 money supply is included as part of the M2 money supply.b. Money held by banks and governments is not included as part of the money supply. Therefore,when Jane uses $300 to pay her income tax to the U.S. Treasury, that total of $300 is taken out ofboth the M1 and M2 money supplies. When Jane deposits the remaining cash ($80) into hersavings account, the M1 money supply is reduced by that amount, but it does not affect the M2money supply. Therefore, Jane's actions cause the M2 money supply to change by ­$300 (theamount used to pay her taxes) and the M1 money supply to change by ­$380 (the amount used topay her taxes plus the amount that was deposited into her savings account). Note that it does notmatter that Jane no longer has the $120 she used to pay for the gold clubs, as the funds remainsin someone else's checking account. So this amount is neither removed from the M1 moneysupply nor the M2 money supply.NumericResponseDifficulty: 03 HardLearning Objective: 14­02 List anddescribe the components of the U.S.money supply.5000­380­300References

5 0
3 years ago
The polynomial given below has _____ root(s).2x2 + 5x + 2
Nastasia [14]
2x^2 + 5x + 2 = 0
(x + 2)(2x + 1) = 0
x = -2 x = - 1/2
Letter C
8 0
3 years ago
Find the difference:<br> x+1/x-1 minus x-8/x-1
PolarNik [594]

Answer: 9/x-1

Step-by-step explanation:

Sine you are subtracting,

x-x=o

1- -8 =9 since subtracting a negative is adding a positive.

So the answer is 9/x-1

6 0
3 years ago
Read 2 more answers
How would I solve y-8+3(y+4)
konstantin123 [22]

Answer:

y-8+3y+12

4y+4

Step-by-step explanation:

y-8+3y+12

4y+4 is your answer

6 0
3 years ago
Function 1: y = 4x + 5
evablogger [386]
Answer: function 1

Rate of change of function 1:
Following the format of y=mx+c, the rate of change should be m, so, the rate of change for function 1 = 4

To find the gradient (rate of change):
The two points the line passes through are (x1, y1) and (x2, y2), which in this case is (1, 6) and (3, 10)
(Doesn't matter which is which but you need to make sure that once you decide which is which, you stick to it)
To calculate the gradient, you substitute these values following (y1 - y2)/(x1 - x2)

Gradient of function 2 = (10 - 6)/(3 - 1)
= 2

Therefore, since 4 > 2, rate of change of function 1 > rate of change of function 2.
6 0
4 years ago
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