Answer:
the width is 9in
Step-by-step explanation:
perimeter of triangle =3×16 = 48
let w= width of rectangle
perimeter of triangle = perimeter of rectangle
48= 2(15 +w)
24= 15 + w
w= 9
Answer:
Insured person pays $1,000; insurance company pays $6,000
Step-by-step explanation:
Answer:
x = -3 ± 2√2
Step-by-step explanation:
x² + 6x + 1 = 0
Let's solve by completing the square.
Add -1 and 9 on both sides.
x² + 6x + 9 = 8
Factor left side.
(x + 3)² = 8
Take square root on both sides.
x + 3 = ±√8
Add -3 to both sides.
x = -3 ± 2√2
Answer:
81.5
Step-by-step explanation:
<G and <H are congruent
<F and <I are congruent
so the last two angles in both triangles must also be congruent
this means that <K and <J are congruent
so we can create this equation: <K = <J
substitute the angles with what we know: 4
= 6
- 40
add 40 to both sides and subtract 4
from both sides: 40 = 2
you get: 20 = 
root square on both sides:
= 
you get: y ≈ 4.5
substitute this into one of the equations for a missing variable:
6
-----> 6 (4.5 x 4.5) - 40
6 ( 20.25) - 40
121.5 - 40
81.5