Answer:
R3 Theorem: If parallel lines are cut by a transversal, then alternate interior angles are congruent.
R4 Theorem: Congruence of segments is reflexive.
S5 ΔABC ≅ ΔCDA
Answer:
c
Step-by-step explanation:
Two sum of any two side lengths of a triangle will always be greater than the length of the remaining side
a doesn't work because 8+12=20 and 20 is not greater than 20
b doesn't work because 4+5=9 and 9<10
d doesn't work because 6+6=12 and 12 is not greater than 12
c is the only option where you can take any two sides, add them, and the sum will be greater than the remaining side.
For example, for c,
6+8=14, and 14>10
8+10=18, and 18>6
10+6=16, and 16>8
A² + b² = c²
5² + 8² = x²
x² = 25 + 64
x² = 89
x = √89
x = 9.43
Answer:
42
Step-by-step explanation:
Find the prime factorization of 126
126 = 2 × 3 × 3 × 7
Find the prime factorization of 420
420 = 2 × 2 × 3 × 5 × 7
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 3 × 7
GCF = 42
