Answer:
<h2> 7</h2>
Step-by-step explanation:
![\left(\frac12x+\frac12y\right)^2=\\\\=\left[\frac12(x+y)\right]^2=\\\\=\left(\frac12\right)^2\left(x+y\right)^2=\\\\=\frac14\left(x+y\right)^2=\\\\=\frac14(x^2+2xy+y^2)=\\\\=\frac14(x^2+y^2+2xy)=\\\\=\frac14(14+2\cdot5)=\\\\=\frac14\cdot28=\\\\=7](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac12x%2B%5Cfrac12y%5Cright%29%5E2%3D%5C%5C%5C%5C%3D%5Cleft%5B%5Cfrac12%28x%2By%29%5Cright%5D%5E2%3D%5C%5C%5C%5C%3D%5Cleft%28%5Cfrac12%5Cright%29%5E2%5Cleft%28x%2By%5Cright%29%5E2%3D%5C%5C%5C%5C%3D%5Cfrac14%5Cleft%28x%2By%5Cright%29%5E2%3D%5C%5C%5C%5C%3D%5Cfrac14%28x%5E2%2B2xy%2By%5E2%29%3D%5C%5C%5C%5C%3D%5Cfrac14%28x%5E2%2By%5E2%2B2xy%29%3D%5C%5C%5C%5C%3D%5Cfrac14%2814%2B2%5Ccdot5%29%3D%5C%5C%5C%5C%3D%5Cfrac14%5Ccdot28%3D%5C%5C%5C%5C%3D7)
35 = 5*7
7 = 5*5 -18
The dimensions of the rectangle are: length = 7 cm, width = 5 cm.
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It is handy to know your times tables.
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If you want, you can write a couple of equations and solve them.
.. L = 5W -18
.. LW = 35
Substituting for L, we have
.. (5W -18)W = 35
.. 5W^2 -18W -35 = 0 . . . . put in standard form
.. (W -5)*(5W +7) = 0 . . . . . factor
.. W = 5 or -7/5 . . . . . . . . . we are only interested in the positive solution
The width of the rectangle is 5 cm; its length is 7 cm.
Since ∠1 is 63 than ∠2 is 63 too because they are alternate interior. To find ∠3 you subtract 180 by the measure of ∠2 because both of these angles create a straight line.
180 - 63 = ∠3
117 = ∠3
Hope this helps :)
Since there are 10 hundreds in every thousand, a 4 in the thousands place will represent a value 10 times greater than a 4 in the hundreds place.
