Answer:
BC:BN=8:3
Step-by-step explanation:
ABCD is a trapezoid and there is a point m which belongs to AD such that AM:MD=3:5.Line "l" parallel to AB intersects the diagonal AC at p and BD at N.
Now, we know that the parallel lines divide the transversal into the segments with equal ratio, therefore, BN:NC=AM:MD
But, BC= BN+NC
Therefore, BC:BN=(BN+NC):BN
⇒BC:BN=(3+5):3
⇒BC:BN=8:3
The triangle defined by three points on the coordinate plane is congruent with the triangle illustrated:
C) (4,2); (8,2); (4,8) because the corresponding pairs of sides and corresponding pairs of angles are congruent.
If we plot these points we can observe that they are congruent, we should also solve for the distance of each point between each other to conclude their congruency.
<span>if we take the centre of the circle as being the origin, we can say that
x coordinate is :cos o = x/r so x
= r cos o
</span><span>
and
y coordinate : cos(90-teta)= y/r
so y=r*cos(90-teta)
</span><span>
if teta is 29 degrees
y=r*cos(61)
and
x = r * cos(29)</span>
Let x be the width of the playground, then 3x is the length of the
<span>playground
х * 3х = 75
3x</span>² = 75
x² = 25
x = 5 m (width)
5*3=15 m (length)
Perimeter = 2(5+15) = 2*20 = 40 meters.
First, let's deal with the fraction in the denominator of the exponent. Multiply the top and bottom of the exponent by 6.
Now that the fraction in the denominator is taken care of, we can reduce the denominator.
. Some professors might accept this as simplest form, but others might ask you to get rid of the negative.
