Question 1 a fence builder uses boards 3 1/2 feet long for the vertical slats on the fence. how many slats can be made from a board that is 42 feet long? a. 6 slatsb. 12 slatsc. 18 slatsd. 147 slatsquestion 2 a string 10 1/2 feet long is cut into 3 equal pieces. how long is each piece? a. 3 1/2 feetb. 3 2/3 feetc. 7 1/2 feetd. 31 1/2 feetquestion 3 sally bought two shirts that cost $6.99 each. the sales tax rate was 7%. what was the total amount sally paid? a. $0.98b. $7.48c. $14.05d. $14.96question 4 ben bought a book for $10.75 and a magazine for $3.99. sales tax was $1.03. he paid with a $20 bill. how much change did he receive? a. $4.77b. $5.23c. $5.77d. $4.23

#1 The answer is B.

#2 The answer is A.

#3 D is the correct answer

#4 D is the correct answer again.

Step-by-step explanation:

#1 Simply divide 42ft by 3 1/2 ft and your answer is 12 slats

#2 Divide 10.5 by 3 and you get 3.5.

#3 Multiply $6.99 by 2 and you get 13.98. Multiply that by 107% and your answer is about 14.96.

#4 When you add up the total price, you get $15.77. When you subtract this from $20, you get $4.23.

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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.