Answer:
1. Sum of the interior angles = 720°
2. (6x) + (5x + 26.5) + (7x - 8) + (4x + 21.5) + (5x + 19) + (10x + 13.5) = 720
3. Angle A = 6x = 6(17.5) = 105
Angle B = (5x + 26.5) = 114
Angle C = (7x - 8) = 114.5
Angle D = (4x + 21.5) = 91.5
Angle E = (5x + 19) = 106.5
Angle F = (10x + 13.5) = 188.5
Step-by-step explanation:
1. The sum of the interior angles = (The number of sides - 2) times 180
The sum of the angles of this polygon with 6 sides is 6 - 2) times 180 = 720°.
2. ∠A + ∠B + ∠C + ∠D + ∠E + ∠F = 720°
(6x) + (5x + 26.5) + (7x - 8) + (4x + 21.5) + (5x + 19) + (10x + 13.5) = 720
37x + 72.5 = 720 Simplify adding x terms and numbers)
37x = 647.5 Subtract 72.5 from both sides
x = 17.5 Dividing both sides by 37
Solve for each angle using x = 17.5
3. Angle A = 6x = 6(17.5) = 105
Angle B = (5x + 26.5) = 114
Angle C = (7x - 8) = 114.5
Angle D = (4x + 21.5) = 91.5
Angle E = (5x + 19) = 106.5
Angle F = (10x + 13.5) = 188.5
Answer:
It is just 65.
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Factorize each:</u>
- 6w⁴ = 2*3*w*w*w*w
- 5w³ = 5*w*w*w
GCF = w*w*w = w³
<u>|Vertices </u><em><u>ABCD</u></em><u>| (x - 3, y + 5) |Vertices </u><em><u>A'B'C'D'|</u></em>
| (-4, 1) | (-4 - 3, 1 + 5)| (-7, 6) |
| (1, 3) | (1 - 3, 3 + 5) | (-2, 8) |
| (2, 0) | (2 - 3, 0 + 5) | (-1, 5) |
<u>| (-3, -2) |(-3 - 3, -2 + 5)| (-6, 3) |</u>
The vertices of (-4, 1), (1, 3), (2, 0), and (-3, -2) is (-7, 6), (-2, 8), (-1, 5), and (-6, 3).
The answer is D.
1) 4 sqrt x^3 =====> 4x^3/2 =====> 4x sqrt x
Steps:
4 sqrt x^3
sqrt x^3
x^3/2
Answer ======> 4x^3/2 =====> 4x sqrt x
2): 1 / x^ -1 =====> x
Steps:
1 / x^ -1
Apply exponent rule:
a^ -1 = 1 / a
x^ - 1 = 1 / x
1 / 1 / x
Apply fraction rule:
1 / b / c = c / b
x / 1
Apply Rule:
a / 1 = a
Answer ========> x
3): 10 sqrt x^5 * x^4 * x^2 = 10^17/2 ====> 100000000 * 10.5 (Decimal: 316227766 ).
Steps:
10 sqrt x^5 * x^4 * x^2
Apply exponent rule:
a^b * a^c = a^b + c
x^4x^2 = x^4 + 2 = x^6
10x^6 sqrt x^5
sqrt x^5 = x^5/2
10x^6x^5/2
Apply exponent rule:
a^b * a^c = a^b + c
x^6x^5/2 = x^5/2 + 6 = x^17/2
Answer ====> 10x^17/2 ==> 100000000 * 10.5 (Decimal: 316227766 ).
4): x^1/3 * x^1/3 * x^1/3 = x^3 / 27 ======> x^1/9
Steps:
x^1/3 * x^1/3 * x^1/3
Apply rule:
a^1 = a
x^1 = x
x/3 * x/3 * x/3
Multiply fractions:
a/b * c/d = a/b * c/d
xxx / 3*3*3
Multiply numbers:
3*3*3 = 27
Answer =========> x^3 / 27 =======> x^1/9
Hope that helps!!!! : )
