Answer:
5unit
Step-by-step explanation: since area of rectangle = length*width
Here length is (x+2) and width is(2x+3)
(x+2)(2x+3)=91
On further solving
2x^2+75x-85=0
2x^2-10x+17x-85=0
2x(x-5)+17(x-5)=0
(2x+17)(x-5)=0
x=5unit
Answer:
1. congruent
2. congruent
3. not congruent
4. not congruent
5. congruent
6. congruent
7. congruent
8. congruent
9. congruent
Step-by-step explanation:
Answer:lollolololo
Step-by-step explanation:
lollolololol
Answer:
30
Step-by-step explanation:
let number of questions in the test be x
9 of the first 10 questions are correct
so only x-10 questions remain
3/10 of the (x-10) = 3/10(x-10) questions are correct
scored 50% for the whole test
so only half of x = x/2 questions are correct
combining the above:
9+3/10(x-10) = x/2
9+3/10x-3=x/2
9-3=(1/2-3/10)x
1/5x=6
x=30
Answer:
The width of the rectangle=21 inches
Step-by-step explanation:
<em>Step 1: Determine the dimensions of the rectangle</em>
Width=w
Length=l
But;
triple width=length+36
3×w=l+36
3 w=l+36
The length can be expressed as;
l=3 w-36
width=w
length=3 w-36
<em>Step 2: Determine the perimeter of the rectangle</em>
P=2(L+W)
where;
P=perimeter
L=length
W=width
In our case;
P=96 inches
W=w
L=3 w-36
replacing;
2(w+3 w-36)=96
2(4 w-36)=96
8 w-72=96
8 w=96+72=168
8 w=168
w=168/8=21
The width of the rectangle=21 inches
