Answer:
D
Step-by-step explanation:
The first and last sequence have a common difference in them. The first having d = 4 and the second having d = 7.
The second and third have a common ratio instead and are geometric sequences. The second has r = 2, and the third having r = (-3)
Let us recall parallelogram properties, which states that opposite angles of parallelogram are congruent.
We can see from graph that side US is parallel to TR and measure of angle U equals to measure of angle R, therefore, quadrilateral drawn in our given graph is a parallelogram.
Since we know that opposite sides of parallelogram are congruent. In our parallelogram UT=SR and US=TR.
In our triangle STU and triangle TSR side TS=TS by reflexive property of congruence.
Therefore, our triangles are congruent by SSS congruence.
Answer:
Teresa drive <u>90 miles</u> on Tuesday.
Step-by-step explanation:
Given:
Teresa drove on Monday, Tuesday and Wednesday.
On monday her driving distance was 120 miles.
The ratio of Wednesdays distance is 3/5.
The ratio of Wednesdays distance to Tuesday's distance is 5/4.
Now, to find the miles Teresa drive on Tuesday:
Teresa driving distance on Monday was = 120 miles.
Her driving distance on Wednesday is = 
Now, her driving distance on Tuesday is:
Therefore, Teresa drive 90 miles on Tuesday.
Answer:
The variable Y represents the number of meters of string in the third yoyo
Step-by-step explanation:
In this equation y stands for the unknown variable. The equation tell you that hope made 3 different yo-yos so the number of yo-yos hope made isn't unknown, meaning, it cant be the first answer. The problem also tells you that hope used a total of 4 meters of string which means that the total number of string used isn't the unknown variable. The number of meters of string in the third yo-yo is the only number that isn't. This makes the number of sting used in the third yo-yo the unknown variable, making it y.
