Answer:
x = 6
Step-by-step explanation:
Given ∠ 1 = ∠ 2 then the segment is an angle bisector and the ratios of sides to base are equal, that is
=
( cross- multiply )
x(x - 4) = 12 ← distribute left side
x² - 4x = 12 ( subtract 12 from both sides )
x² - 4x - 12 = 0 ← in standard form
(x - 6)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 2 = 0 ⇒ x = - 2
However, x > 0 , thus x = 6
Answer:
The point is (15,10)
Step-by-step explanation:
Given data:
cost of card $50
x card sold for $2
y card sold for $1.50
from the above information given above we have following relation
2x + 1.50y = 50
the above equation is linear, therefore to find the point to point out the number of card sold, hit and try method should be used. select the proper point (x, y) so that after putting in above equation there result must not be greater than 50
Try for (15,10)