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Savatey [412]
3 years ago
7

if measure of angle 1 and measure of angle 2 form a linear pair and measure of angle 1 is 18 degrees less than five times the me

asure of angle 2 what if the measure of angle 1
Mathematics
1 answer:
Reika [66]3 years ago
8 0
<span>A linear pair is a pair of adjacent angles formed when two lines intersect. 

Linear pair angles add up to 180 degrees because they lie on a straight line. 

Let x = smaller angle 

Let 5x - 18 = bigger angle 
x + 5x -18 = 180
6x = 198
x = 198/6 
x = 33
The smaller angle is 33 degrees and the bigger is 147 degrees</span>
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Find X. Round to the nearest tenth if necessary.
storchak [24]

Answer:

3.2

Step-by-step explanation:

If there are 2 secont lines intersecting inside a circle like the picture shown, then the theorem tells us that <em>"the product of 2 segments of one secant line is equal to the product of 2 segments of other secant line"</em>

<em></em>

Thus, we can say that:

x * 10 = 8 * 4

10x = 32

x = 32/10

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3 0
3 years ago
A rectangular parking area measuring 5000 ft squared is to be enclosed on three sides using​ chain-link fencing that costs ​$5.5
kaheart [24]

Answer:

Dimensions: 75.3778 ft and 66.3325 ft

Minimum price: $1658.31

Step-by-step explanation:

Let's call the length of the parking area 'x', and the width 'y'.

Then, we can write the following equations:

-> Area of the park:

x * y = 5000

-> Price of the fences:

P = 2*x*5.5 + y*5.5 + y*7

P = 11*x + 12.5*y

From the first equation, we have that y = 5000/x

Using this value in the equation for P, we have:

P = 11*x + 12.5*5000/x = 11*x + 62500/x

To find the minimum of this function, we need to take its derivative and then make it equal to zero:

dP/dx = 11 - 62500/x^2 = 0

x^2 = 65000/11

x = 250/sqrt(11) = 75.3778 ft

This is the x value that gives the minimum cost.

Now, finding y and P, we have:

x*y = 5000

y = 5000/75.3778 = 66.3325

P = 11*x + 62500/x = $1658.31

5 0
3 years ago
Which of the following is equivalent to the expression 16x2−9?
spin [16.1K]

Answer:

(4x+3) (4x-3)

Step-by-step explanation:

5 0
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butalik [34]
The area of EFG is 12 ft
6 0
3 years ago
4. Find the monthly average for each list of year-end utility costs given:
BigorU [14]

Answer:

1486.67 or 1487.

Step-by-step explanation:

Find the average of those three things. Add 2,340 plus 470 plus 1650. You get 4460. Since you have three costs, divided 4460 by 3, which is 1486.6 repeating. Round to the nearest hundredth which is 1486.67. Hope this helps!

7 0
3 years ago
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