Answer:
This is an arithmetic sequence.
Step-by-step explanation:
The difference between the consecutive terms is constant => sequence is arithmetic.
4-2 = 2
6-4= 2
8-6 = 2
10-8 = 2
Yes, the two triangles are similar.
Similar triangles have equal corresponding angles and proportionate sides.
We can see that the corresponding angles of the two triangles are equal because although the smaller triangle is rotated, the angle measurements of both triangles are 23°, 67°, and 90°.
The corresponding sides are proportionate because they have a set ratio. The sides of the smaller triangle are all 1/4 the length of the corresponding sides of the bigger triangle.
Answer:
56 quizzes
Step-by-step explanation:
40 quizzes = 5 weeks
To find the unit rate of quizzes / week, we can divide both sides by 5
40/5 quizzes = 5/5 weeks
8 quizzes = 1 week
Multiply both sides by 7 to find the amount of quizzes in 7 weeks
8 * 7 quizzes = 1 * 7 weeks
56 quizzes = 7 weeks