What is the solution to the equation 1/2x+2/3x+1
IN

N N

Step-by-step explanation:

Simplify each term.

x/2+2x/3+1

To write x2 as a fraction with a common denominator, multiply by 3/3.

x/2⋅3/3+2x/3+1

To write 2x/3 as a fraction with a common denominator, multiply by 2/2.

x//2⋅33+2x/3⋅2/2+1

Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.

x⋅3/6+2x⋅2/6+1

Combine the numerators over the common denominator.

x⋅3+2x⋅2/6+1

Simplify each term.

7x/6+1

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.