Supplementary angles add up to 180 degrees-
Let x = "the angle"
supplement angle = 2x + 12 // 12 more than twice the measurement of "the angle"
Supplement angle + "the angle" = 180 degrees
(2x + 12) + x = 180 degrees // 2x + 12 is the supplement angle
3x + 12 = 180 // Simplify
3x = 168 // Subtract 12 from both sides
x = 56 degrees // Divide both sides by 3
The measure of the angle is 56° and its supplement is 124°
Answer:
1. width is w. length is w + 26
2.
3. the width must be less than 34
4. sure, if the width is 10, then the area is 360
Step-by-step explanation:
1
Answer:
they are complementary
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
So you can start by simplifying each fraction:
16/6 divide by 2/2 = 8/3
3s/9 divided by 3/3 = s/3
Then, since 8/3 = s/3 you just have s = 8.
54, 36, 24 are the 1st 3 element of a geometric progression with 2/3 as a common ratio: PROOF:
the 1st term is 54, (a₁= 54) the 2nd term a₂ = 24, then
(a₂ = a₁.r) or 36 = 54.r → r= 36/54 = 2/3. Same logique for the 3rd term.
So 2/3 is common ratio. We know that :U(n) = a.(r)ⁿ⁻¹. Then if a =54 and r = x (given by the problem), then f(x) = 54.xⁿ⁻¹
n, being the rank of any element of this geometric progression
