
Given that
Total tickets = 10
Winning tickets = 6

For every three prizes, there’s one large prize
therefore,

At this point,


Given: AD ≅ BC and AD ∥ BC
Prove: ABCD is a parallelogram.
Statements Reasons
1. AD ≅ BC; AD ∥ BC 1. provided
2. ∠CAD and ∠ACB are alternate interior angles 2. definition of alternate interior angles
3. ∠CAD ≅ ∠ACB 3. congruence of alternate interior angles
4. AC ≅ AC 4. reflexive property
5. △CAD ≅ △ACB 5. SAS congruency theorem
6. AB ≅ CD 6. Congruent triangles have congruent corresponding parts (CPCTC)
7. ABCD is a parallelogram 7. theorem for sides of parallelograms
<span> </span>
70%Step-by-step explanation:First, determine how many fixtures are left to install.270-81=189. The fraction representing the work still to be done is the count of fixtures to install divided by the total amount. So, % of work remaining equals 189 divided by 270, which equals 0.7. Converting this to percentage form gives us 0.7 * 100% = 70%.
The graphics that are missing can be found in the attachment.
Answer: Graphic of alternative D.
Step-by-step explanation: An inverse function is one that reverses another function: Typically, x denotes the variable while y is the function. In the case of an inverse function, y takes on the variable role and x becomes the function. For example, f(x) = y if and only if g(y) = x.
The graphic depicting an inverse function represents the reflection of the original function across the identity line y=x.
In each alternative provided in the image, the graphs illustrate a function paired with its inverse, however, in alternative D, the dashed line accurately represents the identity line y = x and its correlation with the function and its inverse. Therefore, Graph D is the valid option.