Answer:
Miguel has $63
Lisbeth has $11
David has $21
Step-by-step explanation:
let Miguel share be M
let Lisbeth share be L
let David share be D
from the question, we know that
M=3D
L=D-10.
M+L+D=95
thus,
3D+(D-10)+D= 95
3D+D-10+D= 95
5D-10 = 95
5D= 95+10
5D= 105
D= 105/5
D= 21.
thus,
M = 3D = 3×21
= $63
L = D-10 = 21-10
= $11
(63+21+11)$ = $95
See the attached figure.
m ∠KAJ = 170° & m ∠LAM = 80°
We should know that :
m ∠KAJ + m ∠LAM + m ∠KAL + m ∠MAJ = 360°
∴ m ∠KAL + m ∠MAJ = 360° - (m ∠KAJ + m ∠LAM)
∴ m ∠KAL + m ∠MAJ = 360° - (170°+80°) = 360° - 250° = 110°
But : m ∠KAL = m ∠MAJ ⇒⇒⇒ <u>Opposite angles.</u>
∴ m ∠MAJ + m ∠MAJ = 110°
∴ 2 * m ∠MAJ = 110°
∴ m ∠MAJ = 110° ÷ 2 = 55°
<u>So, the answer is : m ∠MAJ = 55°</u>
Answer:
1) D
2) 10
Step-by-step explanation:
sin(30) = opposite/hypotenuse
sin(30) = 5/x
½ = 5/x
x = 5/0.5
x = 10
21/7 = 3 so then, 105/7 = x which is 15