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Furkat [3]
3 years ago
6

Best explained and correct answer gets brainliest!

Mathematics
1 answer:
sertanlavr [38]3 years ago
8 0
Same side, interior angles of parallel lines cut by a transversal are supplementary.
The sum of the measures of supplementary angles is 180.

Angles 4 and 6 are same side, interior angles, so their measures add to 180.

m<4 + m<6 = 180

109 + m<6 = 180

m<6 = 180 - 109

m<6 = 71

Answer: m<6 = 71 deg.
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An initial investment of $60.00 increases in value by 15% each year. Which of the following statements are true? Select all that
aivan3 [116]
The situations can be represented by the exponential function f(x)=60x1.15^x
After 7.86 years the value of the investment will be three times the initial value (If you round to the nearest dollar)
After 8 years the value of the investment will be $184.00 (If you round to the nearest dollar)
3 0
3 years ago
Read 2 more answers
Please answer this 22360 to 1 significant figure?
miskamm [114]
Zeros do not count as a sigfig so when you do something like this problem just include the numbers until you hit your significant figure limit and then substitute zeros where you can. 20000
8 0
3 years ago
Q1: Payments of $ 670 are being made at the end of each month for 5 years at an interest of 8% compounded monthly. Calculate the
pishuonlain [190]

Answer:

1. $361800

Step-by-step explanation:

Given,

principle balance=$670

interest rate=8%

A=P(1+\frac{r}{n})(nt)

A= Final amount

P= initial Principal balance

r= interest rate

n= number of times interest applied per time period

t= number of times period elapsed

compound interest formula,A=670(1+\frac{8}{1})(60) )\\A=361800

Therefore the Present value is $361800

3 0
3 years ago
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I WILL Give Brainlist !! ASAP Please Help its A Math Question geometry
Vesna [10]

The diagram which the locus of all the points in the plane that are 3cm away from a single point A is Option B

<h3>What is a locus?</h3>

A locus is defined as a set of points, which satisfies a given condition or situation for a shape or a figure.

It is important to note that:

  • The locus of points in a plane that are all the same distance from a single point is a circle with radius, r
  • A circle is the locus of all the points in the plane which are equidistant from the points in that plane
  • The locus of all points equidistant from the vertices of a square is a straight line that is perpendicular to the plane of the square, through the center of the square

We can see that for a circle, the locus of all points in the plane is the radius equidistant from that line.

Thus, the diagram which the locus of all the points in the plane that are 3cm away from a single point A is Option B

Learn more about locus here:

brainly.com/question/23824483

#SPJ1

5 0
2 years ago
There are eight different jobs in a printer queue. Each job has a distinct tag which is a string of three upper case letters. Th
Vikentia [17]

Answer:

a. 40320 ways

b. 10080 ways

c. 25200 ways

d. 10080 ways

e. 10080 ways

Step-by-step explanation:

There are 8 different jobs in a printer queue.

a. They can be arranged in the queue in 8! ways.

No. of ways to arrange the 8 jobs = 8!

                                                        = 8*7*6*5*4*3*2*1

No. of ways to arrange the 8 jobs = 40320 ways

b. USU comes immediately before CDP. This means that these two jobs must be one after the other. They can be arranged in 2! ways. Consider both of them as one unit. The remaining 6 together with both these jobs can be arranged in 7! ways. So,

No. of ways to arrange the 8 jobs if USU comes immediately before CDP

= 2! * 7!

= 2*1 * 7*6*5*4*3*2*1

= 10080 ways

c. First consider a gap of 1 space between the two jobs USU and CDP. One case can be that USU comes at the first place and CDP at the third place. The remaining 6 jobs can be arranged in 6! ways. Another case can be when USU comes at the second place and CDP at the fourth. This will go on until CDP is at the last place. So, we will have 5 such cases.

The no. of ways USU and CDP can be arranged with a gap of one space is:

6! * 6 = 4320

Then, with a gap of two spaces, USU can come at the first place and CDP at the fourth.  This will go on until CDP is at the last place and USU at the sixth. So there will be 5 cases. No. of ways the rest of the jobs can be arranged is 6! and the total no. of ways in which USU and CDP can be arranged with a space of two is: 5 * 6! = 3600

Then, with a gap of three spaces, USU will come at the first place and CDP at the fifth. We will have four such cases until CDP comes last. So, total no of ways to arrange the jobs with USU and CDP three spaces apart = 4 * 6!

Then, with a gap of four spaces, USU will come at the first place and CDP at the sixth. We will have three such cases until CDP comes last. So, total no of ways to arrange the jobs with USU and CDP three spaces apart = 3 * 6!

Then, with a gap of five spaces, USU will come at the first place and CDP at the seventh. We will have two such cases until CDP comes last. So, total no of ways to arrange the jobs with USU and CDP three spaces apart = 2 * 6!

Finally, with a gap of 6 spaces, USU at first place and CDP at the last, we can arrange the rest of the jobs in 6! ways.

So, total no. of different ways to arrange the jobs such that USU comes before CDP = 10080 + 6*6! + 5*6! + 4*6! + 3*6! + 2*6! + 1*6!

                    = 10080 + 4320 + 3600 + 2880 + 2160 + 1440 + 720

                    = 25200 ways

d. If QKJ comes last then, the remaining 7 jobs can be arranged in 7! ways. Similarly, if LPW comes last, the remaining 7 jobs can be arranged in 7! ways. so, total no. of different ways in which the eight jobs can be arranged is 7! + 7! = 10080 ways

e. If QKJ comes last then, the remaining 7 jobs can be arranged in 7! ways in the queue. Similarly, if QKJ comes second-to-last then also the jobs can be arranged in the queue in 7! ways. So, total no. of ways to arrange the jobs in the queue is 7! + 7! = 10080 ways

5 0
3 years ago
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