What you have here is a situation with two <em>similar triangles.
</em>The triangle in the lower left is similar to the triangle in the upper right - I've included an image with "cutouts" of those triangles so you can see the similarities. Similar triangles have a very important property: <em>the ratios of their corresponding sides are equivalent</em>. Here, we can set up a ratio between the sides of length 64 and x on the larger triangle, and the corresponding sides of length x and 36 on the smaller triangle. Setting the two equal to each other, we have

Multiplying both sides of the equation by 36 and x, we get

finally, we take the square root of both sides of the equation to find x:
Answer:
$16,557
Step-by-step explanation:
The computation of the amount after four years is shown below:
As we know that
Future value = Present value × (1 + rate of interest)^number of years
= £15,000 × (1 + 2.5%)^4
= £15,000 × 1.025^4
= $16,557
3088.22813276
hope this helps, you could've entered this into a calculator for next time.
Step-by-step explanation:
For the quadratic equation to have 1 repeated real solution, the discriminant b² - 4ac must be zero.
=> (-z)² - 4(z - 5)(5) = 0
=> z² - 20(z - 5) = 0
=> z² - 20z + 100 = 0
=> (z - 10)² = 0
Therefore z = 10.