The sum of two numbers is 66. two times the smaller number is 15 more than the larger number. what are the numbers?

Here is the set up:

Let x and y be the two numbers with x the smaller and y the larger number.

x + y = 66

2x = y + 15

We have two equations in two unknowns.

Take it from here.

27 and 39.

Step-by-step explanation:

Let x be the smaller number and y be the larger number.

It is given that sum of two numbers is 66.

       .... (1)

Two times the smaller number is 15 more than the larger number.  

        ... (2)

From (1) and (2) we get

Divide both sides by 3.

Substitute x=27 in equation (1).

Therefore, the numbers are 27 and 39.

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.