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exis [7]
3 years ago
6

5. What is angel 8 use picture above

Mathematics
2 answers:
Vikki [24]3 years ago
6 0

Answer:

Angle 8 = Angle 4

Step-by-step explanation:

velikii [3]3 years ago
5 0

Answer:

4.  ∠3 and ∠5

5.  75°

Step-by-step explanation:

4. Same-side interior angles.

If you look at the figure, the INTERIOR angles are those between the two parallel lines (JL and MP), these are angles #3, #4, #5 and #6. The other angles are exterior angles.

The question asks for same-side... meaning both on the left of NK or on the right side of it.  So, the two sets that match this are: 3 with 5 and 4 with 6.

The last option gives you ∠3 and ∠5, so that's your answer.

That makes sense since angles 1 and 2, present in all other choices, are exterior angles.

5. If ∠4 = 75 degrees, what's the value of  ∠8?

Since JL and MP are parallel lines crossed by another line (NK), we know that  ∠4 and ∠8 will have the same measurement.  Those two angles are located on the same position compared to each other and one of the parallel line.

So, since  ∠3 = 75°,  ∠8 also has to be 75°, same for their opposing angles 2 and 5.  While the other angles are complements... so they're 105 degrees angles.

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2.5

Step-by-step explanation:

The constant of probability is 16/6.4=2.5

3 0
3 years ago
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69. REAL-WORLD APPLICATIONS
svp [43]

Answer:

Cost of per session the average rate is $45.

Step-by-step explanation:

It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.

It is required to find what is the cost per session.

Step 1 of 1

It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.

To find the cost of per session calculate the average rate.

Now let $f(x)$ be the cost per session use the for the average rate of change, and the input value is the number of personal traings x.

$m=\frac{f\left(x_{2}\right)-f\left(x_{1}\right)}{x_{2}-x_{1}}$$

Now substitute, $125 for $f\left(x_{2}\right), 260 for $f\left(x_{1}\right), 2$ for $x_{1}$ and 5 for $x_{2}$ then,

$m=\frac{260-125}{5-2}$\$$\begin{aligned}&=\frac{135}{3} \\&=45\end{aligned}$$

Cost of per session the average rate is $45.

3 0
1 year ago
To offset college expenses, at the beginning of your freshman year you obtain a nonsubsidized student loan for $15,000. Interest
soldier1979 [14.2K]

Answer:

15000(1.003425)^12t ;

4.11%

4.188%

Step-by-step explanation:

Given that:

Loan amount = principal = $15000

Interest rate, r = 4.11% = 0.0411

n = number of times compounded per period, monthly = 12 (number of months in a year)

Total amount, F owed, after t years in college ;

F(t) = P(1 + r/n)^nt

F(t) = 15000(1 + 0.0411/12)^12t

F(t) = 15000(1.003425)^12t

2.) The annual percentage rate is the interest rate without compounding = 4.11%

3.)

The APY

APY = (1 + APR/n)^n - 1

APY = (1 + 0.0411/12)^12 - 1

APY = (1.003425)^12 - 1

APY = 1.04188 - 1

APY = 0.04188

APY = 0.04188 * 100% = 4.188%

7 0
3 years ago
Full explanation please<br> will mark brainlist
just olya [345]

Answer:

Hope the picture will help you.....

8 0
2 years ago
A bond has a $12,000 face value, a 9-year maturity, and a 3.1% coupon. Find the total of the interest payments paid to the bondh
jeka57 [31]

Answer:

$15348

Step-by-step explanation:

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12000+3348 = $15348

4 0
2 years ago
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