Answer:
x = 21
Step-by-step explanation:
the angles 5x - 35 and 3x + 7 are vertical angles and congruent, thus
5x - 35 = 3x + 7 ( subtract 3x from both sides )
2x - 35 = 7 ( add 35 to both sides )
2x = 42 ( divide both sides by 2 )
x = 21
So...
-2(16-4x)-8=6(x+2) Multiply
-32+8x-8=6x+12 Add like terms
-40+8x=6x+12 Subtract 6x from both sides
-40+2x=12 Add 40 to both sides
2x=52 Divide 2 from both sides
x=26 Substitute to check
-2(16-4(26))-8=6((26)+2) Add and multiply in parenthesis
-2(-88)-8=6(28) Multiply
176-8=168 Subtract
168=168
So x=26
I hope this helps! Have a great day!
Answer:
x = 4
Step-by-step explanation:
The base angles of an isosceles triangle are congruent, as shown in the figure.
Equating their measures, we have ...
∠A = ∠C
8x -7 = 25 . . . . substitute the given expressions
8x = 32 . . . . . add 7
x = 4 . . . . . . divide by 8
Answer:
5k - 2
Step-by-step explanation:
To evaluate f(2 - k), substitute x = 2 - k into f(x), that is
f(2 - k) = 8 - 5(2 - k) = 8 - 10 + 5k = 5k - 2
Answer:
X= 1/9
Step-by-step explanation:
