The two angles are verticals angles so they are congruent, so you can solve for x by writing and solving an equation
6x-82=3x-23
Combine like terms
3x=105
And simplify to get x=35
Answer:
x = 14
< A = 58 degrees
< B = 52 degrees
< C = 70 degrees
Step-by-step explanation:
Recall that the addition of the three internal angles of a triangle must render 180 degrees, then we can write:
<A + <B + <C = 180
and now replace with the algebraic expressions given for each angle:
2(x + 15) + 3 x + 10 + 5 x = 180
eliminate parenthesis
2 x + 30 + 3 x + 10 + 5 x = 180
combine like terms
10 x + 40 = 180
subtract 40 from both sides
10 x = 140
divide both sides y 10 to isolate x
x = 14
Now that we know x, we can calculate each of the angles using the fiven expressions:
< A = 2 (x + 15) = 2 (14 + 15) = 2 * 29 = 58 degrees
< B = 3 x + 10 = 3 * 14 + 10 = 52 degrees
< C = 5 x = 5 * 14 = 70 degrees
Answer:
a=b
Step-by-step explanation:
An antisymmetric relation () satisfies the following property:
If (a, b) is in R and (b, a) is in R, then a = b.
This means that if a|b and b|a then a = b
If a|b then, b can be written as b = an for an integer n
If b|a then a can be written as a= bm for an integer m
Now we have b = (a)n = (bm)n
b = bmn
1 =mn
But since m and n are integers, the only two integers that satisfy this property would be m = n = 1
Therefore, b = an = a (1) = a ⇒b = a
