Answer: 77/3 or 25 2/3
Step-by-step explanation:
1. Convert mixed numbers into improper fractions:
3 1/2 = 3*2+1/2 = 7/2
2 2/3 = 2*3+2/3 = 8/3
1 1/2 = 1*2+1 = 3/2
2. Calculate within parentheses
Multiply and divide from left to right
Add and subtract from left to right
Answer:
Negative
Step-by-step explanation:
Answer:
5. TS ≅ ML
6. ∠N≅∠U
9. m∠P = 80°
10. QR = 3
Step-by-step explanation:
The congruent symbol ≅ indicates that the two shapes have the same angle and side lengths.
5. TS are the third and second letter in RSTUV. The third and second letters in KLMNO are ML. TS ≅ ML
6. N is the fourth letter in KLMNO. The fourth letter is RSTUV is U. ∠N≅∠U
9. ∠P is congruent to ∠W. Notice they are both on the longer side and the wider angle. Since m∠P ≅ m∠W, and m∠W = 80°, then m∠P = 80°
10. QR is congruent to XY. They are both the shortest sides of the shape. QR ≅ XY and XY = 3, then QR = 3
Answer:
The end of the flagpole is 50.79 ft away from the base of the pole.
Step-by-step explanation:
The problem is represented by the diagram below.
The broken flagpole forms the shape of a right angled triangle. We need to find one of the sides of the triangle, the adjacent (x).
The hypotenuse is the broken part of the flagpole (53 ft), while the opposite is the part of the flagpole that is still stuck to the ground (28 ft).
Using Pythagoras theorem, we have that:

=> 

The end of the flagpole is 50.79 ft away from the base of the pole.