A19-foot piece of string is cut into two pieces so that the longer piece is 4 feet longer than twice the shorter piece. find the lengths of both pieces.

5 and 14. the shorter string is 5ft and the longer string is 14ft

Step-by-step explanation:

5•2=10 and 10+4=14

5+14=19

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2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.