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stiks02 [169]
3 years ago
5

What values for x would make the lines parallel?

Mathematics
1 answer:
Svetllana [295]3 years ago
8 0

Answer:

x = 15  degrees

3 angles in triangle are 44, 44 and 92 degrees.


Step-by-step explanation:

When the lines are parallel the internal angles add up to 180 degrees. So:-

8x + 7 + 2x + 23 = 180

10x + 30 = 180

10x = 150

x = 15


In the triangle:-

The angle adjacent to 136 = 180 - 136

= 44 degrees.  As 2 sides of the triangle are congruent the other base angle = 44 degrees also.

The third angle = 180 - 2(44) =  92 degrees

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What is the value of x? (will give brainliest if you show your work) PLEASE HELP
andrew-mc [135]
Check the picture below.

\bf \cfrac{8}{12}=\cfrac{x+4}{2x+1}\implies 16x+8=12x+48\implies 4x=40
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x=\cfrac{40}{4}\implies x=10

8 0
3 years ago
An automatic doughnut machine can produce 1500 doughnuts in 9 hours.
Svetllana [295]

Answer:

1 hr, 48 minutes

Step-by-step explanation:

you can create a proportion:

doughnuts/hours = doughnut/hours (h)

1500/9 = 300/h

cross-multiply to get:

1500h = 2700

h = 27/15

h = 1 12/15, which is 1 hr, 48 minutes because 12/15 = 48/60

7 0
2 years ago
Given that R = 8 x + 4 y Find y when x = 8 and R = 30 Give your answer as an improper fraction in its simplest form.
Maksim231197 [3]

Answer:

y = -17/2

Step-by-step explanation:

Substitute with the givens.

30= 8(8) + 4y.

Multiply parentheses.

30 = 64 + 4y

Subtract.

30-64= -34

-34 = 4y.

Divide each side by 4.

y = - 8.5, or -17/2

hope that is right!

8 0
2 years ago
A local artist working at the town fair makes caricatures and portraits. The caricatures cost $4 to make white
il63 [147K]

Answer:

The artist should make 15 caricatures and 30 portraits.

Step-by-step explanation:

First, we identify the variables for the problem. In this case, the variables will be:

C=number of caricatures

P= number of portraits.

Next, we can use the variables to make the inequalities that constrain the problem.

We know the artist can't spend more than $360 for supplies and we also know that it costs $4 to make a caricature and $10 to make a portrait, so:

4C+10P\le 360

We also know the artist has a limit of time of 20 hours, which is the same as 20*60=1200 minutes to paint. We know it takes her 20 minutes to make a caricature and 30 minutes to make a portrait, so:

20C+30P\le 1200

and we also know she must make a positive number of caricatures and a positive number of portraits so the other two constrains are:

C\ge 0

P\ge 0

So we can go ahead and graph them. (see attached picture)

Once we graphed the inequalities we can determine what the corners of the polygon created by the intersection of the shaded areas are, so we proceed and calculate them:

first point:

(0,0)

second point:

4(0)+10P=360

P=\frac{360}{10}

P=36

(0,36)

Third point:

20C+30(0)=1200

C=\frac{1200}{20}

C=60

(60,0)

Fourth point:

4C+10P = 360

20C+30P = 1200

We multiply the first equation by -5 so we get:

-20C-50P=-1800

20C+30P=1200

------------------------

-20P=-600

P=30

so:

20C+30(30)=1200

20C=1200-900

20C=300

C=15

(15,30)

Once we found the 4 points, we go ahead and evaluate them for the objective function. In this case, the objective function is the total amount of money she got from selling the pieces of art, so we get:

I=10C+20P

Point 1

I=10(0)+20(0)=0

Point 2

I=10(0)+20(36)=720

Point 3

I=10(60)+20(0)=600

Point 4

I=10(15)+20(30)=750

Next, we look for the greatest income which in this case will be 750 so that's why she must make 15 caricatures and 30 Portraits.

8 0
3 years ago
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Aleks04 [339]

The answer is none of the lines intersect each other, because they are at the same slope, and they do not have a different slope for the lines to be intersected.

3 0
3 years ago
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