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san4es73 [151]
2 years ago
14

7. The sum of the interior angles of a polygon is 10,620°. How many sides does the polygon have?

Mathematics
1 answer:
Otrada [13]2 years ago
5 0
No. of sides
=10620/180+2
=61
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Given that line s is perpendicular to line t, which statements must be true of the two lines? Check all that apply.
artcher [175]
The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is - 1.

So, from that basic knowledge you can analyze each option:

<span>a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = - 1 => slope_1 = - 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. - 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is - 1/6.

So, the right choices are a, c and g.
</span>
5 0
2 years ago
Read 2 more answers
If 1 British pound equals 1.6972 Swiss francs, then 1 Swiss franc equals approximately how many British pounds?
marusya05 [52]
Start with "<span>1 British pound equals 1.6972 Swiss francs" and make a conversion factor out of it:
</span>
1.6972 Sw. F.
------------------
 1 Br. pound

Invert this, obtaining:  

 1 Br. pound
-------------------
1.6972 Sw. F.


Here's where the fun begins.  To find the value of 1 SFr in BPS, mult.

1 SFr by the above conversion factor:

1 SFr             1 BPS
----------- * --------------------- = 0.5892 BPS
      1          1.6972 Sw. F.

This is a formal way in which to do this problem.  You could obtain the same result if you'd simply invert 

 1 Br. pound
------------------- = 1
1.6972 Sw. F. 

and divide 1 by 1.6972.
8 0
2 years ago
Read 2 more answers
The length of a rectangle is 20 units more than its width. The area of the rectangle is x4−100.
Mice21 [21]

Answer:

1. x^2-10 because the area expression can be rewritten as (x^2-10)(x^2+10)which equals (x^2-10)((x^2-10)+20).

Step-by-step explanation:

Area of the rectangle =(x^4-100)

x^4-100=(x^2)^2-10^2\\$Applying difference of two squares: a^2-b^2=(a-b)(a+b)\\(x^2)^2-10^2=(x^2-10)(x^2+10)

Since the length of a rectangle is 20 units more than its width.

Width: x^2-10\\Length=x^2+10=x^2-10+20

The correct option is therefore 1.

4 0
2 years ago
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What is the scale factor of ABC to UVW
Hoochie [10]
One of the easiest question I've seen.
It's a scale factor of 5 because, 
5*5=25
5*3=15
5*4=20 
Hope this helps!
9 0
2 years ago
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jonathan bought a new computer for $2,016, using the electronics store's finance plan. he will pay $112 a month for 18 months. w
vekshin1
Y - the money he still owes,
x - the number of months ( from x = 0 to x = 18 ):
y = 2,016 - 112 x 
6 0
2 years ago
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