Answer:

Step-by-step explanation:
The picture of the question in the attached figure
we know that
The triangle ABD is an isosceles triangle
because
AB=BD
The segment BM is a perpendicular bisector segment AD
so
<em>In the right triangle ABM</em>
Applying the Pythagorean Theorem

we have

substitute

-----> equation A
<em>In the right triangle BMC</em>
Applying the Pythagorean Theorem

we have

substitute


----> equation B
equate equation A and equation B

solve for x

Simplify

<em>Find the length of DC</em>

substitute the given values


Answer:
480 people were unemployed full time
Step-by-step explanation:
First thing to do here is to check the percentage of people that were unemployed full time
Looking at the graph, this is equal to 60%
This means that 60% of the total 800 are unemployed full time
Mathematically, that would be 60/100 * 800 = 480 people
Step-by-step explanation:
the following things are clear : opposite sides are of equal length, the sum of all angles in a square, rectangle or general parallelogram is 360 degrees, and opposite angles are equal.
so,
y² + 7 = 32
y² = 25
y = 5
2y² = k
2×5² = k
50 = k
the opposite angle of 150 is also 150 degrees.
the opposite angle of x is also x.
so, we have as sum of angles
360 = 150 + 150 + x + x = 300 + 2x
60 = 2x
x = 30 degrees
The Analytical Engine was a proposed mechanical general-purpose computer designed by English mathematician and computer pioneer Babbage,[2][3] with the assistance of Ada Lovelace. It was first described in 1837 as the successor to Babbage's difference engine, which was a design for a simpler mechanical computer.

Let us change tan x and cot x to sin x and cos x

Substitute them on the left side

I multiplied the denominators and multiply each numerator by the opposite denominator


Now we will work on the right hand side

Substitute them on the right side

The L.H.S = R.H.S = 1/(sin x cos x)