Answer:
The triangles are similar due to AAA
Step-by-step explanation:
'The triangles ABC and DBE are similar because they have a common angle < B, and also angle < E is marked as congruent to angle < A. Then the third angle <C is going to be congruent to angle D as well due to the property of addition of internal angles of a triangle must add to 180 degrees.
Then the triangles are similar due to AAA
The simplest form would be x
The rule for power to a power is 'keep the base and multiply the powers'.
3 * (1/3) = 1
So it would be x^1 or just x
Answer:
(x, y) = (- 13/2 + 3/2 * y, y) ,y in mathbb R
Step-by-step explanation:
4x-6y=-26
-2x+3y-13
4x-6y=-26
x=-13/2+3/2y
4(-13/2+3/2y) - 6y=-26
y in mathbb R
x, y) = (- 13/2 + 3/2 * y, y) ,y in mathbb
Answer:
88/7 ft = 12.6 ft (nearest tenth)
Step-by-step explanation:
Circumference of a circle = 2r
<u>Radius of inner circle</u>
Given:
- circumference of inner circle = 22ft
- = 22/7
⇒ 22 = 2 x (22/7) x r
⇒ r = 3.5
So the radius of the inner circle is 3.5 ft
<u>Radius of outer circle</u>
If the distance between the inner circle and the outer circle is 2 ft, then the radius of the outer circle = 3.5 + 2 = 5.5
<u>Circumference of outer circle</u>
Therefore, circumference of outer circle:
= 2 x (22/7) x 5.5
= 242/7 ft
<u>Difference between circumferences</u>
Difference = outer circle circumference - inner circle circumference
= 242/7 - 22
= 88/7 ft
= 12.6 ft (nearest tenth)