In a newspaper, it was reported that yearly robberies in Springfield were up 16% to 87 in 2014 from 2013. How many robberies were there in Springfield in 2013?

There were 75 robberies in 2013.

Step-by-step explanation:

Since there was an increase in 2014 of 16% from the year prior, then the value of robberies in 2014 is the value from 2013 plus 16%, so it is 100% + 16% that is 116%. To solve this problem we can use a rule of three in such a way that:

87 robberies -> 116%

x robberies -> 100%

116*x = 87*100

x = 8700/116 = 75 robberies

There were 75 robberies in 2013.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

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.