Answer:
length = 78 m , width = 27 m
Step-by-step explanation:
let w represent width then length l = 3w - 3
the perimeter (P) is calculated as
P = 2l + 2w = 210 , substitute values
2(3w - 3) + 2w = 210 ← distribute parenthesis and simplify left side
6w - 6 + 2w = 210
8w - 6 = 210 ( add 6 to both sides )
8w = 216 ( divide both sides by 8 )
w = 27 and l = 3(27) - 3 = 81 - 3 = 78
Then length = 78 m and width = 27 m
Answer:
-13, -3
15, 2.6
Step-by-step explanation:
x, y are the numbers
x = 5y + 2
x×y = 39
(5y + 2)×y = 39
5y² + 2y - 39 = 0
the solution of a quadratic equation :
y = (-b ± sqrt(b² - 4ac))/2a
a = 5
b = 2
c = -39
y = (-2 ± sqrt(2² - 4×5×-39))/2×5 =
= (-2 ± sqrt(4 + 780))/10 =
= (-2 ± sqrt(784))/10 = (-2 ± 28)/10
y1 = (-2 + 28)/10 = 26/10 = 2.6
y2 = (-2 - 28)/10 = -30/10 = -3
x1 = 5×2.6 + 2 = 13 + 2 = 15
x2 = 5×-3 + 2 = -15 + 2 = -13
Answer:
(write this in the format your curriculum suggests, most are different)
Since BC is longer than AB, this means m<bcd is smaller than m<bad.
A way to prove it mathematically is to look at the triangle on the left. Since It's an isosceles triangle, m<cda and m<dac are equal. However, the triangle on the right does not have two proven congruent sides. All we know is BC is larger than the other side lengths. In a figure like that, the obtuse angle that meets the longest side would be the largest angle.
Apologies for being so wordy.
