As per the isosceles triangle theorem, if the two base angles are congruent then the legs are also congruent, so we must set the two legs equal to each other:
2z - 15 = 9
Add 15 to both sides:
15 - 15 = 0
15 + 9 = 24
Divide 2 from each side:
2z = 24
2z/2 = z
24/2 = 12
z = 12
Hence, the answer would be D: z = 12
Answer:
first cross multiply
2x×4=3×8
8x=24
then, divide both sides by "8" so x could be alone
x=24/8
x=3
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Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
x + 3 = 4x - 6
add 6 to both sides
x + 9 = 4x
subtract x from both sides
9 = 3x
divide 3 from both sides
x = 3
Answer:
x = 5/2
or
x = -2
Step-by-step explanation:
recall that the roots of a function f(x) are basically the values of x that will make f(x) = 0,
we find these values of x by making f(x) = 0 and then solving the equation for x,
in our case,
f(x) = -3(2x – 5)(x + 2)
to find roots,
f(x) = 0
-3(2x – 5)(x + 2) = 0
Equating each factor = 0, the equation can be broken down into:
-3 = 0 (obviously not valid, hence we can ignore this)
or
(2x – 5) = 0 add 5 to both sides
2x = 5 divide both sides by 2
x = 5/2 ( Answer)
or
(x + 2) = 0 subtract 2 from both sides
x = -2 (Answer)
