Step-by-step explanation:
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Answer:
k = 5
Step-by-step explanation:
Given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 20 when x = 4, then
20 = 4k ( divide both sides by 4 )
5 = k
It is similar to an equation
-3x-6<-5x-2
-3x+5x<-2+6
2x<4
x<4/2
x<2
* when solving inequality problems you need to switch signs when you divide a side by a negative number.
Ex.
-3x-6<-5x-2
-6+2<-5x+3x
-4<-2x
When you divide -4 by -2, switch the lesser sign to greater sign.
-4/-2>x
2>x
Which gives you the same result either way.
x<2
Answer:
1. 1080°
2. (28) x (180) = 5,040 degrees
3. 120 degrees
4. Ff a regular polygon’s interior angles each measure 150 degrees, the exterior angles each measure 30 degrees, and therefore the regular polygon has 12 sides.
5. I think 10 yields 1... 1 is the number of sides the polygon has...
Answer:
Step-by-step explanation:
<u>Given:</u>
<u>We can see that:</u>
- 8 = 4*2 = 2²*2 and
- 50 = 25*2 = 5²*2
<u>Since 2² and 5² are perfect squares we get:</u>
- √8 + √50 =
- 2√2 + 5√2 =
- (2 + 5)√2 =
- 7√2
