Answer:
65+x=150
he has 65 so if he keeps adding to it which is x and then he will get 150.
First let us determine what <ABD is: 180º- 90º - 2nº = 90-2nº (the square represents a 90º angle
Then find <DCB: 180º - 90º - nº = 90-nº
Angle <ACB doesn't change: it is 90-n
but, <ABD is only part of <ABC: if we add <ABD with <DBC then we get 90-2n+n = 90-n
Definition of an isoceles triangle: It has two sides that are congruent or has two angles that are congruent.
Because both <ABC and <ACB equal 90-n the triangle ABC is an isoceles triangle.
Hope this Helps, and May the Force Be With You!
-Jabba
Answer:
2/3
Step-by-step explanation:
Let's define z = x-y, so solving for z will tell us exactly what we want to know. Then we can substitute for x: x = z+y, and our equations become ...
7(z+y)+3y = 8 ⇒ 7z +10y = 8
6(z+y)-3y = 5 ⇒ 6z +3y = 5
We can eliminate the y-variable by subtracting 3 times the first equation from 10 times the second:
10(6z +3y) -3(7z +10y) = 10(5) -3(8)
60z +30y -21z -30y = 50 -24 . . . . eliminate parentheses
39z = 26 . . . . collect terms
z = 26/39 = 2/3 . . . . . divide by the coefficient of z and reduce
The value of x - y is 2/3.
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The attached graph shows (x, y) = (1, 1/3), so x - y = 1 - 1/3 = 2/3.