Given that <span>Lisa had 1,750 stamps and Mark had 480 fewer stamps than Lisa.</span>
Thus, the number of stamps Mark had is 1,750 - 480 = 1,270
Given that <span>Lisa gave some stamps to Mark which makes Mark to have three times as many stamps as Lisa.</span>
Let the number of stamps that Lisa gave to Mark be x, then
![3(1,750 - x) = 1,270 + x \\ \\ \Rightarrow5,250-3x=1,270+x \\ \\ \Rightarrow x+3x=5,250-1,270 \\ \\ \Rightarrow 4x=3,980 \\ \\ \Rightarrow x= \frac{3.980}{4} =995](https://tex.z-dn.net/?f=3%281%2C750%20-%20x%29%20%3D%201%2C270%20%2B%20x%20%5C%5C%20%20%5C%5C%20%5CRightarrow5%2C250-3x%3D1%2C270%2Bx%20%5C%5C%20%20%5C%5C%20%5CRightarrow%20x%2B3x%3D5%2C250-1%2C270%20%5C%5C%20%20%5C%5C%20%5CRightarrow%204x%3D3%2C980%20%5C%5C%20%20%5C%5C%20%5CRightarrow%20x%3D%20%5Cfrac%7B3.980%7D%7B4%7D%20%3D995)
Thus, Lisa gave Mark 995 stamps.
Therefore, the number of stamps that Lisa have now is 1,750 - 995 = 755.
The dot product is a scalar that is the sum of the product of the corresponding components.
For example,
<x1,y1,z1>.<x2,y2,z2> = x1x2+y1y2+z1z2 (scalar).
For v<6,7,-3> and w<-7,5,2>
we have
v.w=<6,7,-3>.<-7,5,2>=6(-7)+7(5)+(-3)(2)=-42+35-6=-13
Answer:
125°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 8 (octagon), thus
sum = 180° × 6 = 1080°
let x represent one of the equal angles, then
3x + 705 = 1080 ( subtract 705 from both sides )
3x = 375 ( divide both sides by 3 )
x = 125
Thus the size of one equal angle = 125°
Answer:
55
Step-by-step explanation:
2x+5 x-5 combine these to get 3x
then you would divide 180 by 3
so u would get 60 = x
60-5 =55
Answer:
142.4
Step-by-step explanation: