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natima [27]
4 years ago
6

Find the measure of the angle indicated in bold

Mathematics
1 answer:
GuDViN [60]4 years ago
5 0

Answer:

3/2 =x

Step-by-step explanation:

These two angles are interior angles.  They add up to 180 degrees

20x+5 = 24x-1

Subtract 20x from each side

20x-20x+5 = 24x-20x-1

5 = 4x-1

Add 1 to each side

5+1 =4x-1+1

6 =4x

Divide by 4

6/4 = 4x/4

3/2 =x

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What is the oblique asymptote of the function f(x) = the quantity x squared minus 5x plus 6 over the quantity x minus 4?
Paraphin [41]

Answer:

x - 1

Step-by-step explanation:

We know that, a slant or oblique asymptote of a rational function is the asymptote that helps in determining the direction of the function.

It occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator.

Now, we divide the numerator by denominator using long division method and the first two terms in the quotient ( forming a linear function ) is the equation of the oblique asymptote.

We are given the rational function, f(x) = \frac{x^{2}-5x+6}{x-4}.

After dividing we get that, the quotient is x - 1.

Hence, the equation of the oblique asymptote is x-1.

4 0
4 years ago
for every 6 girls on the softball team there are 9 boys on the baseball team if there are 50 students on both teams how many are
taurus [48]
Key info-there are nine boys for every six girls on the softball team

9/6

9(3)=27. 6(3)18

18+27=45 5 more to go

if there is 50 students on each of the teams

9(5)=45
6(8)=48

As one can see,they both cannot multiply up to 50,but they round up.
5 0
3 years ago
Read 2 more answers
The answer to this question here in the photo cause I don’t know this
Lady bird [3.3K]

Answer:

19.

Step-by-step explanation:

PEMDAS.
3^2=9
5 x 2 + 9
10 + 9 = 19

5 0
2 years ago
Two figures are similar, and the scale factor is 2/3
d1i1m1o1n [39]

Answer:

The answer is 8.

Step-by-step explanation:

The scale factor between the figures is 2/3, this means that the ratio of the smaller figure to the larger figure is 2/3:

\frac{smaller\:figure}{larger\:figure}=\frac{2}{3}.

So when a side of the the larger figure is 12 then:

\frac{smaller\:figure\: side}{12}=\frac{2}{3}

Therefore

smaller\:figure\:side=\frac{2}{3}*12=8.

Thus the length of the corresponding smaller side is 8.

3 0
3 years ago
Read 2 more answers
Two teachers purchase supplies for their classrooms.
inna [77]

Answer:

Cost of One Journal =  $3.99

Cost of One pen =  $0.59

Step-by-step explanation:

Let

Cost of One Journal = x

Cost of One pen = y

We can make equation from given statements.

Mr. Bowden purchases 18 journals and 40 pencils for $95.42.

18x+40y=95.42

Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.

11x+16y=53.33

Now solving these equations to find the value of x

18x+40y=95.42--eq(1)\\11x+16y=53.33--eq(2)

Multiply eq(1) with 2 and eq(2) with 5

36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\

We get the value of x is: x=3.99

Now, putting value of x in equation 1 to find value of y.

18x+40y=95.42\\18(3.99)+40y=95.42\\71.82+40y=95.42\\40y=95.42-71.82\\40y=23.6\\y=\frac{23.6}{40}\\y= 0.59

So, we get the value of y: y = 0.59

Now, finding the costs:

Cost of One Journal = x = $3.99

Cost of One pen = y = $0.59

7 0
3 years ago
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