Answer:
m∠WUV = 23°
Step-by-step explanation:
m∠TUW and m∠WUV must add up to m∠TUV
Step 1: Set up equation
m∠TUW + m∠WUV = m∠TUV
8x + 7 + 4x - 1 = 78
Step 2: Solve for <em>x</em>
12x + 6 = 78
12x = 72
x = 6
Step 3: Find m∠WUV
m∠WUV = 4x - 1
m∠WUV = 4(6) - 1
m∠WUV = 24 - 1
m∠WUV = 23°
Answer:
Step-by-step explanation:
Let d be the number of days.
We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.
We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be: 
As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100. We can represent this information in an inequality as:
Therefore, the inequality
can be used to find the number of days, d, it will take Katie to collect over 100 seashells.
That is true because a parallelogram has four sides.
7x + 3 is the final answer