Answer:
D = 108°
F = 180°
H = 252°
I = 288°
Explanation:
Every regular polygon with <em>n </em>sides can be divided into <em>n</em> congruent triangles. The angle with vertex the center of the polygon will measure 360 : <em>n </em>degrees. This will also be the angle of rotation under which the polygon matches itself.
We are given a regular decagon, therefore:
<em>n </em>= 10
α = 360 : <em>n </em>= 36°
We consider that, if the decagon is not rotated, A' coincides with A and the rotation is towards the next letter of the alphabet. This means that after one rotation of 36° A' will coincide with B, after two rotations A' will coincide with C and so on.
A' will coincide with D after three rotations: 3 × 36° = 108°
A' will coincide with F after five rotations: 5 × 36° = 180°
A' will coincide with H after seven rotations: 7 × 36° = 252°
A' will coincide with I after eight rotations: 8 × 36° = 288°
(2k + 3k) + (9k - 7k + 8)
(5k) + (2k + 8)
7k+8
7k + 8 is the answer
Answer:
= a^7
Step-by-step explanation:
Given in the question,
a^5 * a^4 / a²
To find,
show working
<h3>Explanation</h3>
As we know that to divide exponents (or powers) with the same base, we subtract the exponents. Division is the opposite of multiplication, so when multiplying the exponents (or powers) with the same base add the exponents.
<h3>Working</h3>
a^5 * a^4 / a²
= a^(5 + 4) / a² (Multiplying)
= a^9 / a²
= a^(9 - 2) (Dividing)
= a^7
<em>hence shown</em>
Step one: Divide 10 by 100 to get 0.1 or 0.10 (they both mean the same thing)
Step two: Multiply 0.1 or 0.10 by 60 to get your answer which is 6.
Sara saved $6.00.
Answer:
mean add them all up and divide by 8
Step-by-step explanation: