Answer:
or 
Step-by-step explanation:
<u><em>The correct question is</em></u>
The two rectangles show are similar. Find the value of x
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem

solve for x


simplify

convert to mixed number

Answer:
62
Step-by-step explanation:
If the diver started 4 four feet above the ground and ended 58 feet below the surface, the diver went down, so we can solve this by taking the total distance traveled like so:
= 62
First you need to find area of square which is side x side which is 8x8 which is 64. Then you find the side of the triangle which is 14-8 which is 6 then you need to find the height of the dotted line I’m pretty sure there’s a formula but it looks like it’s 8 because it looks like a square so then the formula of a triangle is base times height divided by two so the base is 6 and height is 8 so 6x8 which is 48 and divided by two is 24 then you add the area of the triangle and the area of the square which is 64 so 64+24 which is 88 so I’m pretty sure the area is 88 then just put whatever units after :)
Answer:
about 252.78 ft
Step-by-step explanation:
Define angle QMP as α. Then ...
MN = 60·sin(α)
NP = 60·cos(α)
area MPN = (1/2)(MN)(NP) = 1800sin(α)cos(α)
__
PQ = 60tan(α)
area MPQ = (1/2)(MP)(PQ) = 1800tan(α)
__
The ratio of areas is 2.5, so we have ...
1800tan(α) = 2.5·1800sin(α)cos(α)
1 = 2.5cos(α)² . . . . . . divide by 1800tan(α)
cos(α) = √0.4 . . . . . . solve for cos(α)
__
Then the perimeter is ...
Perimeter = MN +NP +PQ +QM = 60sin(α) +60cos(α) +60tan(α) +60/cos(α)
= 60(sin(α) +cos(α) +tan(α) +sec(α))
= 60(0.774597 +0.632456 +1.224745 +1.581139)
= 60(4.212936) = 252.776
The perimeter of the trapezoid is about 252.776 feet.
_____
With perhaps a little more trouble, you can find the exact value to be ...
perimeter = (6√10)(7+√6+√15)
Answer:
The population changed by 20% in 3 years
Step-by-step explanation:
The percentage change, is given by the following equation;

The given parameters are;
The initial population of the town = 35,000
The final population of the town = 42,000
The percentage change in the population is therefore;

The population changed (increase) by 20% in 3 years.