Answer:
x = 16
Step-by-step explanation:
Supplementary angles = 180
K + L = 180
137 + 3x - 5 = 180
132 + 3x = 180
3x = 180 - 132
3x = 48
x = 48/3
x = 16
From the given, we expressed the time that each of the team members ran in mathematical expression.
Reggie = 57.12 seconds
Alvin = 57.12 + 2.45 seconds = 59.57 seconds
Jose = 57.12 - 3.81 seconds = 53.31 seconds
We then sum up all the time we calculate to determine the total time for the team. The answer is therefore 170 seconds.
Answer:
B
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
Triangles ΔABC and ΔBAD are congruent. So,
- AB ≅ BA;
- AC ≅ BD;
- BC ≅ AD;
- ∠ABC ≅ ∠BAD;
- ∠BCA ≅ ∠ADB;
- ∠CAB ≅ ∠DBA.
Consider triangles AEC and BED. In these triangles,
- AC ≅ BD;
- ∠EAC ≅ ∠EBD (because ∠CBA ≅ ∠BAD);
- ∠AEC ≅ ∠BED (as vertical angles).
So, ΔAEC ≅ ΔBED. Thus,
AE ≅ EB.
This means that segment CD bisects segment AD.
Answer:
∠T = 135°
Step-by-step explanation:
Supplementary angles sum to 180°, thus
∠T + ∠S = 180
However, ∠T = 3∠S, hence
3∠S + ∠S = 180
4∠S = 180 ( divide both sides by 4 )
∠S = 45°, hence
∠T = 180° - 45° = 135°
