<span>Width = 6
Length = 30
We know the perimeter of a rectangle is simply twice the sum of it's length and width. So we have the expression:
72 = 2*(L + W)
And since we also know for this rectangle that it's length is 6 more than 4 times it's width, we have this equation as well:
L = 6 + 4*W
So let's determine what the dimensions are. Since we have a nice equation that expresses length in terms of width, let's substitute that equation into the equation we have for the perimeter and solve. So:
72 = 2*(L + W)
72 = 2*(6 + 4*W + W)
72 = 2*(6 + 5*W)
72 = 12 + 10*W
60 = 10*W
6 = W
So we now know that the width is 6. And since we have an expression telling us the length when given the width, we can easily determine the length. So:
L = 6 + 4*W
L = 6 + 4*6
L = 6 + 24
L = 30
And now we know the length as well.</span>
Answer:
x=4/7
Step-by-step explanation:
You can write 36^4x-1=6^x+2 to 6^2(4x-1)=6^x+2. Then you can write
2(4x-1)=x+2, 8x-2=x+2, 7x=4, x=4/7
-52
Step-by-step explanation:
8.4-2.22+12.4-4.22=
=32-44+48-88=
=-132+80=
=-52
(1) QS bisecting <PQR implies <PQS = <SQR
(2) <PQS=45 deg and (1) imply <SQR also = 45 deg
(3) from (2) it follows that <PQR = <PQS + <SQR = 45 + 45 deg = 90 deg and therefore the triangle is right-angled
