The length of B'C' in the rectangle A'B'C'D' = 9 units.
<u>Step-by-step explanation</u>:
step 1 :
Draw a rectangle with vertices ABCD in clockwise direction.
where, AB and DC are width of the rectangle ABCD.
AD and BC are length of the rectangle ABCD.
step 2 :
Now,
The length of the rectangle is AD = 5 units and
The width of the rectangle is AB = 3 units.
step 3 :
Draw another rectangle with vertices A'B'C'D' extended from vertices of the previous rectangle ABCD.
step 3 :
The length of the new rectangle is A'D' which is 4 units down from AD.
∴ The length of A'D' = length of AD + 4 units = 5+4 = 9 units
step 4 :
Since B'C' is also the length of the rectangle A'B'C'D', then the measure of B'C' is 9 units.
The solution of the inequality is x ≥ -3 and the graph is shown below
<h3>Graph of inequalities </h3>
From the question, we are to determine the graph that represents the given inequality
The given inequality is
−3x + 1 ≤ 10
First, we will solve the inequality
−3x + 1 ≤ 10
Subtract 1 from both sides
−3x +1 -1 ≤ 10 - 1
−3x ≤ 9
Divide both sides by -3 and<u> flip the sign</u>
x ≥ -3
The graph of the inequality is shown below
Learn more on Graphing inequalities here: brainly.com/question/13053003
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A local hamburger shop sold a total of 712 burgers on Tuesday
There are 62 more cheeseburgers than hamburgers
let cheeseburers = c
let hamburgers = h
h + 62 = c
c + h = 712
Plug in h + 62 for c
(h + 62) + h = 712
2h + 62 = 712
2h + 62 (-62) = 712 (-62)
2h = 650
2h/2 = 650/2
h = 325
There are 325 hamburgers sold on Tuesday
c = 325 + 62
c = 387
<em>There are 387 chesseburgers sold on tuesday </em>(in case you were wondering)
hope this helps
Answer:
the solution of linear equation 4b + 6 = 2 - 6 + 4 is b = -2
Step-by-step explanation:
We need to solve the linear equation
4b + 6 = 2 - 6 +4
Adding constants
4b + 6 = 0
Adding -6 on both sides
4b + 6 -6 = 0 -6
4b = -6
Dividing with 4 on both sides
4b/4 = -6/4
b = -2
So, the solution of linear equation 4b + 6 = 2 - 6 + 4 is b = -2
Answer:
x=64°
Step-by-step explanation:
x=180-90-26 (angles on a str line)
=64°