Answer:
Your Answer would be 30! Hope this helped!
Answer:
Step-by-step explanation:
<h3><u>Question 6</u></h3>
To find the greatest common factor (GCF), first list the prime factors of each number:
- 42 = 2 × 3 × 7
- 60 = 2 × 2 × 3 × 5
42 and 60 share one 2 and one 3 in common.
Multiply them together to get the GCF: 2 × 3 = 6.
Therefore, 6 is the GCF of 42 and 60.
Divide the numerator and the denominator by the found GCF:
<h3><u>Question 7</u></h3>
To find the greatest common factor (GCF), first list the prime factors of each number:
- 80 = 2 × 2 × 2 × 2 × 5
- 272 = 2 × 2 × 2 × 2 × 17
80 and 272 share four 2s in common.
Multiply them together to get the GCF: 2 × 2 × 2 × 2 = 16.
Therefore, 16 is the GCF of 80 and 272.
Divide the numerator and the denominator by the found GCF:
x−12<3
Step 1: Add 12 to both sides.
x−12+12<3+12
x<15
Answer:
Not congruent; not congruent; congruent; congruent; not congruent; not congruent.
Step-by-step explanation:
The base of △ABC, BC, is 2 units. The height of △ABC, extending from A to BC, is 3 units. This means that any triangle congruent to this will have a base of 2 and a height of 3.
△MNP has a base of 2; however, its height (from M to NP) is 4 units. Therefore they are not congruent.
△EFG has a base of 2 and a height of 4; it and △ABC are not congruent.
△STU has a base of 2 and a height of 3; it is congruent to △ABC.
△EFG has a base of 2 and a height of 4, just as △MNP; they are congruent.
Since △STU is congruent to △ABC, and we know that △EFG is not congruent to △ABC, we know that △EFG is not congruent to △STU.
Since △MNP is congruent to △EFG, and △EFG is not congruent to △STU, then △MNP is not congruent to △STU.
