Volume ratio = 1331/729 which is the cube of the linear scale factor.
To find the linear scale factor, let find the cubic root of the numerator & the denominator:
∛1331 = ∛11³ = 11
& ∛729 = ∛9³ = 9
So the linear scale is 11/9 ==> then the ratio of their surface area will be:
11²/9² ==> 121/81.
Note, if you have a linear scale, then the surface will be the square othis scale & the volume will be the cube of the linear scale
The answer is 6 because you add the 1 and the 2 first and then multiple to get 6. I don’t know why you put the division sign in front of the 2 though.
To start, we need to distribute
multiply 2x by <em>everything</em> in the parenthesis
2x (5 + 3x) - x
2x × 5 = 10x
2x × 3x = 6x²
now we have...
10x + 6x² - x
<em>simplify </em>
<u>6x² + 9x </u>
the coefficient of x is 9!
Answer:
1st blank: substitution property of equality
2nd blank: linear pair theorem
3rd blank: substitution property of equality
Step-by-step explanation:
<u>1st blank</u>
∠EIJ ≅ ∠GJI (eq. 1)
∠EIJ ≅ ∠IKL (eq. 2)
∠GJI ≅ ∠JLK (eq. 3)
Substituting eq. 3 into eq. 1:
∠EIJ ≅ ∠JLK
and then, substituting eq. 2:
∠IKL ≅ ∠JLK
which means that m∠IKL = m∠JLK
<u>2nd blank</u>
The Linear Pair Theorem states that two angles that form a linear pair are supplementary
<u>3rd blank</u>
m∠JLK + m∠JLD = 180°
Substituting with the previous result:
m∠IKL + m∠JLD = 180°
