Answer:
If the bathtub was full it made a splash and got wet if the bathtub was empty if hit the bottom and bounced
Step-by-step explanation:
We want to determine the equation in point slope form for the line that is perpendicular to the given line and passing through the point (5.6) .
The equation and the point is;

We know that for two lines to be perpendicular, the product of their slopes should be -1.
Therefore, the slope of the perpendicular should be;

The second condition is that the line must pass through the point (5,6) , to do thid, we write the equation of the line in point slope form which is;

Inserting all values, we have,

That is the final answer.
These are the steps:
1. Find the area of the trapezium {Whole figure).
2. FInd the area of the rectangle (unshaded).
3. Area of the shaded = Area of trapezium - Area of the rectangle.
<u>Step 1: Find the area of the trapezium</u>:
Formula : Area of trapezium = 1/2 (a + b)h
Area = 1/2 ( 25 + 15) (12) = 240 yd²
<u>Step </u><u>2 :</u><u> Find the area of the rectangle</u>:
Formula : Area = Length x Width
Area = 12 x 3 = 36 yd²
<u>Step 3: Find the shaded region:</u>
240 - 36 = 204 yd²
Answer: 204 yd²
Answer:
The length of AE is 20 units.
Step-by-step explanation:
Given two segments AD and BC intersect at point E to form two triangles ABE and DCE. Side AB is parallel to side DC. A E is labeled 2x+10. ED is labeled x+3. AB is 10 units long and DC is 4 units long.
we have to find the length of AE
AB||CD ⇒ ∠EAB=∠EDC and ∠EBA=∠ECD
In ΔABE and ΔDCE
∠EAB=∠EDC (∵Alternate angles)
∠EBA=∠ECD (∵Alternate angles)
By AA similarity, ΔABE ≈ ΔDCE
therefore, 
⇒ 
⇒ 
⇒ 
Hence, AE=2x+10=2(5)+10=20 units
The length of AE is 20 units.