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Flauer [41]
3 years ago
5

What is the value of k? Pls help

Mathematics
2 answers:
n200080 [17]3 years ago
8 0
First let's find the value of the interior angle of the traingle at point Y.
The angles form a straight angle (180 degrees)
115+x=180
x= 65

All three interior angles of a triangle must add to 180 degrees.
65+ (6k+10)+(4k+5)=180

Combine like terms
80+10k=180

Subtract 80 from both sides
10k=100

Divide both sides by 10
k=10

Final answer: k=10
laiz [17]3 years ago
7 0
Thanks for your question!

We know the third angle in the triangle is 65 because it is a linear pair. We also know that all the angles in a triangle adds up to 180. So:

4k + 5 + 6k + 10 = 180 - 65
10k + 15 = 115
10k = 100
k = 10

Hope this helped!
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Ms. Thomas is taking her friends to see a comedy show. The parking fee was $ 35 and the cost of each ticket for the show was $ 4
pychu [463]

1. An expression that will represent the amount of money that Ms. Thomas will spend is <u>p + 45n - c.</u>

2. The amount of money that Ms. Thomas will spend on the comedy tickets for herself and her 2 friends is <u>$155</u>.

<h3>What is a mathematical expression?</h3>

A mathematical expression is a statement that involves two or more variables that require some mathematical operations.

Most commonly, a mathematical expression contains numbers, variables, and operators, which show a value after the mathematical operations.

<h3>Data and Calculations:</h3>

Parking fee = $35

Ticket fee per person = $45

The number of people on the show = 3 (Ms. Thomas and her two friends)

Coupon = $15

Amount of money spent = p + 45n - c

where p = parking fee, n = number of visitors, and c = coupon received.

= 35 + 45 x 3 - 15

= $155

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3 0
2 years ago
Helppppopleaseee????
rosijanka [135]

Answer:

LQ = 5

Median = 6

Step-by-step explanation:

\frac{n+1}{2} gives us 5.5, so we do the average of position 5 and 6. This gives us 6, so the median is 6.

Now we find the median of the bottom half of the numbers, which is 5, so the LQ is 5.

Now we find the median of the upper half of the numbers, which is 7, so the UQ is 7.

7 0
2 years ago
F(x)=2x+3, and g(x)=4x-2. what is f(x)+g(x)
klio [65]

Answer:

f

(

x

)

=

5

x

2

−

2

x

+

3

g

(

x

)

=

4

x

2

+

7

x

−

5

f

(

g

(

x

)

)

=

5

(

4

x

2

+

7

x

−

5

)

2

−

2

(

4

x

2

+

7

x

−

5

)

+

3

=

80

x

4

+

280

x

3

+

45

x

2

−

350

x

+

125

−

8

x

2

−

14

x

+

10

+

3

=

80

x

4

+

280

x

3

+

45

x

2

−

8

x

2

−

350

x

−

14

x

+

125

+

10

+

3

f

(

g

(

x

)

)

=

80

x

4

+

280

x

3

+

37

x

2

−

364

x

+

138

The answer is  

f

(

g

(

x

)

)

=

80

x

4

+

280

x

3

+

37

x

2

−

364

x

+

138

.

Step-by-step explanation:

8 0
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elena-s [515]

Answer:

f(t)=20000(0.85)^t

Step-by-step explanation:

So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:

f(t)=P(r)^t

Where <em>P </em>is the initial value, <em>r</em> is the rate of decay, and <em>t</em> is the time in years.

Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.

Therefore, the equation that models the value of the computer is:

f(t)=20000(0.85)^t

4 0
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