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Marysya12 [62]
3 years ago
15

If P the incenter of triangle JKL, find MP.

Mathematics
1 answer:
hram777 [196]3 years ago
4 0

9514 1404 393

Answer:

  MP = 38

Step-by-step explanation:

Each of the lengths MP, NP, OP is the radius of the incircle, so they are all congruent.

  3x +14 = 9x -34

  48 = 6x . . . . . . . . . . . . . . add 34-3x to both sides

  24 = 3x . . . . . . . . . . . . . . divide by 2 (we don't need x; we need 3x or 9x)

  NP = 3x +14 = 24 +14 = 38

  NP = OP = MP = 38

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When Theresa walks at a pace of 88 steps per minute, it takes her 90 minutes to walk the trail. If she alters her pace to 33 ste
jarptica [38.1K]

Answer: 33 minutes

Step-by-step explanation:

Hi to answer this question we have to write a proportion

Speed rate = 88 step per minute

Time = 90 minutes

So, the proportion is 88 step/min / 90 minutes

For 33 steps per minutes = 33 / x minutes

88/90 = 33/x

solving for x:

x= 33/ (88/90)

x = 33.75 = 33 minutes.

Feel free to ask for more if needed or if you did not understand something.

5 0
3 years ago
Benson has a bankruptcy on his credit report, so he pays higher interest rates on his current loans. he calculates that the extr
Scrat [10]

The additional interest Benson pay each month is $750 if he invested at the rate of 2% for one year, option (b) is correct.

<h3>What is simple interest?</h3>

It is defined as the interest on the based on the principal amount, it does not include the compounded amount. The interest calculate on the initial amount or borrowed amount.

We know the formula for the simple interest is given by:

I = PRT

Where I is the simple interest.

P is the principal amount

R is the rate of interest

We have in the question:

I = $180

R = 2% = 0.02

T = 1  year

Put the above values in the formula, we get:

180 = P(0.02)(1)

P = $9000

The additional interest Benson pay each month is:

= 9000/12

= $750

Thus, the additional interest Benson pay each month is $750 if he invested at the rate of 2% for one year option (b) is correct.

Learn more about the simple interest here:

brainly.com/question/22621039

7 0
2 years ago
(picture included) brainliest
Dimas [21]

Step-by-step explanation:

118 is the answer 238-120 = 118

5 0
3 years ago
Which of the following shows the graph of the eniquality y&gt;x+3<br><br> PLEASE include image
7nadin3 [17]

in plain and short, to graph an inequality, we first graph its EQUALITY graph, and then we do the shading.

so to graph y > x + 3, we first graph y = x + 3, which is just a line, and then do a true/false check on a point to see which side we shade.

let's hmmm  check the point say (0,2), x = 0, y = 2.

y > x + 3

2 > 0 + 3

2 > 3  <--- is that true?  is 2 really larger than 3?  nope, so is false.

that simply means that the point (0, 2)  is on the false area, so that's the area we do NOT shade, so <u>we shade the other side</u>.

y > x + 3, means "y" is greater than or larger than that line, but not equals, larger not equal, meaning the values on the borderline are not included, so the line is a dashed line.


check the picture below.

5 0
3 years ago
jerry deposits 80.00 into new savings account the account earns 3.5% simple interest per year no money is added or removed from
deff fn [24]

Answer:

$84.14

Step-by-step explanation:

Begin by multiplying 1.035 by 4.

Get 4.14.

Add this to the original amount deposited, $80.

The answer is $84.14

8 0
3 years ago
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