20,000 would be the answer
Using a system of equations, it is found that Debbie worked 45 hours during the week.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Amount of hours worked by Juan.
- Variable y: Amount of hours worked by Debbie.
Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:
9x + 9y = 765
Simplifying the expression by 9:
x + y = 85 -> x = 85 - y.
Debbie worked five hours more than juan during the week, hence:
y = x + 5.
Since x = 85 - y, we replace in the expression:
y = 85 - y + 5.
2y = 90.
y = 45.
Debbie worked 45 hours during the week.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
D. ASA
Step-by-step explanation:
ASA (Angle-Side-Angle) is a proof of congruence when two triangles share two angles and the side between them.
Answer:
B
Step-by-step explanation:
The volume (V) of a triangular prism is
V = area of triangular end × length
area of Δ = bh
where b is the base and h the perpendicular height
here b = 8 and h = 5, so
area = 0.5 × 8 × 5 = 20 units²
the length of the prism is 10, hence
V = 20 × 10 = 200 units³