Answer:
∠ I = 39°, ∠ J = 51°, ∠ K = 90°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the3 angles and equate to 180
3x + 21 + 5x + 21 + 90 = 180, that is
8x + 132 = 180 ( subtract 132 from both sides )
8x = 48 ( divide both sides by 8 )
x = 6
Then
∠ I = 3x + 21 = 3(6) + 21 = 18 + 21 = 39°
∠ J = 5x + 21 = 5(6) + 21 = 30 + 21 = 51°
∠ K = 90°
4 multiplied by 3.99 will = your answer....Please mark brainliest...
Length (L): w + 3 ⇒2(w + 3)
width (w): w ⇒ w - 1
Area (A) = L x w
A = (w + 3)(w)
A = w² + 3w
*******************************************
A + 176 = 2(w + 3)(w - 1)
(w² + 3w) + 176 = 2(w + 3)(w - 1)
w² + 3w + 176 = 2w² + 4w - 6
3w + 176 = w² + 4w - 6
176 = w² + w - 6
0 = w² + w - 182
0 = (w - 13) (w + 14)
0 = w - 13 0 = w + 14
w = 13 w = -14
Since width cannot be negative, disregard -14
w = 13
Length (L): w + 3 = (13) + 3 = 16
Answer: width = 13 in, length = 16 in
A. It is always true
B. -4*6=-24
3*-7=-21
C. Whenever you have a negative being multiplied by a positive the product is always negative
Answer:
<u><em>Corral 4</em></u>
Step-by-step explanation:
we need to divide the area of the corral by the Number of animals In order To know the dedicated space for each animal
Corral 1 :
(50×40)÷110 = 18.181818181818 < 20
Then it doesn’t meet the requirements.
Corral 2 :
(60×35)÷115 = 18.260869565217 < 20
Then it doesn’t meet the requirements
Corral 3 :
(55×45)÷125 = 19.8 < 20
Then it doesn’t meet the requirements
Corral 4 :
(65×40)÷130 = 20
Then It meets the requirements