Unknown Measures of Congruent Figures In the diagram, ΔGHJ ≅ ΔSTU.

Triangles G H J and T U S are shown. The lengths of sides G H and G J are 5 centimeters. Angle G H J is 67 degrees. The lengths of sides T S and U S are 5 centimeters. The length of T U is 3.7 centimeters.

What are the missing measures in the diagram?

m∠J =
✔ 67
°

m∠T =
✔ 67
°

m∠G =
✔ 46
°

ST =
✔ 5
cm

HJ =
✔ 3.7
cm

Asif spent $745.10 on 13 new file cabinets for his office. small file cabinets cost $43.50 and large file cabinets cost $65.95. write and solve a system of equations to find the number of small cabinets and large cabinets he purchased. determine if each statement is true or false. 1. he purchased 5 small cabinets. true or false 2. he purchased 7 large cabinets. true or false 3. he spent $527.60 on large cabinets. true or false