8. The length of a side and the corresponding height of a triangle are (x+3) cm and (2x – 5) cm respectively.
Given that the area of the triangle is 20 cm”, find
the value of x.

x = 5

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = bh ( b is the base and h the height )

Here b = x + 3 and h = 2x - 5 , thus

(x + 3)(2x - 5) = 20 ( multiply both sides by 2 )

(x + 3)(2x - 5) = 40 ← expand factors on left using FOIL

2x² + x - 15 = 40 ( subtract 40 from both sides )

2x² + x - 55 = 0 ← in standard form

(x - 5)(2x + 11) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5

But x > 0 , hence x = 5

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

76%

step-by-step explanation:

24% are dogs and the remaining is 76% because 100-24=76