Answer:
PG ≅ SG (Given)
PT ≅ ST (Given)
GT = GT (Common)
∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom)
Step-by-step explanation:
<u>Given</u>: PG ≅ SG and PT ≅ ST
<u>To Prove</u>: ∠GPT ≅ ∠GST
<u>Proof</u>: PG ≅ SG (Given)
PT ≅ ST (Given)
GT = GT (Common)
∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom).
<u>SSS Congruency Axiom</u>: If three pairs of sides of two triangles are equal in length, then the triangles are congruent.
<u>Congruence</u>: Two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object. Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
Answer:
x=4
Step-by-step explanation:
The volume of sphere is 
inches cubed.
Step-by-step explanation:
Given,
Diameter of sphere = 10 inches
Radius of sphere = 
Radius of sphere = 5 inches
Volume of sphere = 
V = 
The volume of sphere is inches cubed.
Keywords: volume, division
Learn more about division at:
#LearnwithBrainly
10. 64in > 5ft
11. 2 mi < 3,333yds
12. 36yd 2 ft< 114 ft 2 in
13. They are =
14. 4ft 7in < 56 in
15. 25 ft > 8yd 11 in
1 quarter = 0.25
2 dimes = 2(0.10) = 0.20
2 nickels = 2(0.05) = 0.10
for a total of : 0.25 + 0.20 + 0.10 = 0.55.....so u have lost 0.55
