Answer:
18
Step-by-step explanation:
Remark
This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't
However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.
Solution
Let the width = x
Let the length = x + 5
Area of the rectangle: L * w = x * (x + 5)
Area of the smaller squares (there are 2)
Area = 2*s^2
x = s
Area = 2 * x^2
Area of the larger squares = 2 * (x+5)^2
Total Area
x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120 Expand
x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120 Remove the brackets
x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120 collect the like terms on the left
5x^2 + 25x + 50 = 120 Subtract 120 from both sides.
5x^2 + 25x - 70 = 0 Divide through by 5
x^2 + 5x - 14 = 0 Factor
(x + 7)(x - 2) = 0 x + 7 has no meaning
x - 2 = 0
x = 2
Perimeter
P = 2*w + 2*L
w = 2
L = 2 + 5
L = 7
P = 2*2 + 2 * 7
P = 4 + 14
P = 18
Answer:
The answer is 2.375.
Step-by-step explanation:
17 / 8 = 2.125.
2 / 8 = 0.25.
2.125 + 0.25 = 2.375.
(4,9) is in quarter I and (4,-9) is in quarter IV of the graph. (4,-9) is the point (4,9) reflected over the x-axis. they are similar bc both have 4 as their x coordinate.
Hey there!
(Part 1) <span>
Your question states:
Suppose a car is traveling east on 4th Street and turns onto King Avenue heading northeast. What is the measure of the angle created by the car's turning? Explain your answer.
180</span>°-70°= 110° ✓
This person would be driving
110° degrees. ✓
So, what we would do it do 180° subtracted by 70. We need to find how much he turns onto King Avenue heading northeast. So we do 180° because that would be considered a full half turn, so 180° subtracted by 70 and that would give you
. . .
180° - 70° =
(Part 2)
Your question states:
<span>
Suppose a car is traveling southwest on King Avenue and turns left onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.</span>
This may be a little tricky on this side. These side's are coherent. As we know now that the angel on (King Ave.) was 110°, we would say the on the (3rd angel through King Ave.) that angel as well would be 110° because that is the angel on top. This would mean that they would be the same. But the thing is, we are finding what is the angel when the car is traveling southwest on King Avenue and turns left onto 3rd Street. This angel would be 70° degrees because as we do 70° + 70° + 110° + 110° = 360°.
This is how we would know that this would be that angel going into (<span>3rd Ave).
</span>My steps: 360° - 110° - 110° = 140°.
140° ÷ 2 =
∡70° ✓
Your correct answer would be
Step #3
Your question states:
<span>Suppose a car is traveling northeast on King Avenue and turns right onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.
</span>
Your correct answer would equal 110°. <span>✓</span>
My steps:
360° - 75° - 75° = 210°
210° ÷ 2 =
105° ✓
Your correct answer would be

_____________________________________________________________
I Hope this help you!
~Jurgen