Answer:
value of x is 7
Step-by-step explanation:
from question
k+b=90
5x+15+40=90
5x=90-55
5x=35
hence, x=7
Let us write vertices of the given rectangle are PQRS.
Where Q is (c,d) and S is (a,b).
a) Now, we need to find the coordinates of P and R points.
x-coordinate for P is a and y-coordinate of P is d.
<h3>Therefore P is (a,d).</h3>
On the same way, x-coordinate for R is c and y-coordinate of R is b.
<h3>Therefore R is (d,b).</h3>
b) <em>Width of the rectangle is difference of y-coordinates of P and S points</em>.
<h3>Therefore, width = b - d.</h3>
Answer:
d = -8
Step-by-step explanation:
Isolate the variable, d. Note the equal sign, what you do to one side, you do to the other. Divide -4 from both sides of the equation:
d = -8 is your answer.
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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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