2. Find three consecutive numbers such that five times the largest number is 17 less than three times the sum of the
smallest and median number

Hi there!

Your answer is:

Smallest number: 24

Median number: 25

Largest number: 26

Step-by-step explanation:

three consecutive numbers:

n, n+1, n+2

5(n+2)= (n+1+n)3 -17

5n+10= (2n+1)3-17

5n+10= 6n+3 -17

5n+10= 6n-14

-6n

-n+10= -14

-10

-n= -24

/-1

n= 24

This is your number. Now, plug this back into your previous equations

24, 24+1, 24+2

Simplify

Smallest number: 24

Median number: 25

Largest number: 26

Hope this helps

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.