Answer:
A. (Orthocenter) → Altitude
B. (Incenter) → Angle bisector
C. (Centroid) → Median
D. (Circumcenter) → Perpendicular bisector
Step-by-step explanation:
A. The orthocenter is the point of concurrency of the three altitudes of a triangle, therefore, the matching line with the letter <em>A</em> is <em>altitude</em>
B. The incenter is the point of concurrency of the bisectors of three interior angles of a triangle, therefore, the matching line with the letter <em>B</em> is <em>angle bisector</em>
C. The centroid is the point of concurrency of the three medians of the triangle, therefore, the matching line to the letter <em>C</em> is <em>median</em>
D. The circumcenter is the point of concurrency of the three perpendicular bisectors of the three sides of a triangle, therefore, the matching line to the letter <em>D</em> (which corresponds with the circumcenter) is <em>perpendicular bisector.</em>
3*(x+5)^(1/2)=-9
(x+5)^(1/2)=-3
x+5=9
x=4
3*(4+5)^(1/2)=-9
3*(9)^(1/2)=-9
3*3=-9
4 is an extraneous solution
Answer:
Step-by-step explanation:
Statements Reasons
1). SP ≅ TP 1). Given
2). PQ bisects ∠SPT 2). Given
3). ∠SPQ ≅ ∠TPQ 3). Definition of angles bisector
4). PQ ≅ PQ 4). Reflexive property of congruence
5). ΔSPQ ≅ ΔTPQ 5). SAS property of congruence
Answer:
Volume = 1730 in^2
Step-by-step explanation:
18 - 5 = 13
6 + 5 = 11
10 x 13 x 11 = 1430
10 x 5 x 6 = 300
1430 + 300 = 1730
