Answer:
x = 32
m∠7 = 94
m∠8 = 86
m∠3 = 94
Step-by-step explanation:
(2x + 30) + (3x - 10) = 180
5x + 20 = 180
5x = 160
x = 32
m∠7 = 2(32) + 30 = 94
m∠8 = 3(32) - 10 = 86
<u>or</u>
m∠8 = 180 - 94 = 86
<u>m∠3 ≈ m∠7</u> (corresponding angles)
The measure of an interior angle of a regular nonagon (9-sided polygon) is 140°
<h3>How to determine the angle</h3>
The formula for sum of interior angles of a polygon is given as;
= ( n -2) × 180
Recall that a nonagon has nine sides, so , n = 9
Substitute the value into the formula
= ( 9 -2) × 180
= 7× 180
= 1260°
Since the sum of the angles = 1260°
One of the angles = 1260/ 9 = 140°
Therefore, the measure of an interior angle of a regular nonagon (9-sided polygon) is 140°
Learn more about polygons here:
brainly.com/question/224658
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equation of line passing through (1,-7)( -4,8)
First let's find slope (m)
m = (8+7)/(-4-1)
= 15/-5 = -3
(x1,y1) = (1,-7)
Plugging above value in
y - y1 = m( x-x1)
y+7 = -3( x-1)
y+7 = -3x +3
y+3x +4=0
Answer:
Balance is $260.
Step-by-step explanation:
4% of $250
= 0.04 * 250
= $10.
250 + 10 = $260.
Answer:
Pr = 15.71% ≈ 16%
Step-by-step explanation:
Let's begin by listing out the data given unto us, we have:
Length of board = 3 ft, Width of board = 5 ft,
Area of board = Length * Width = 3 * 5 = 15 ft²,
Diameter of each circle (d) = 1 ft; r = d ÷ 2
⇒ r = 1 ÷ 2 = 0.5 ft
Area of each circle = πr² = π * 0.5² = 0.785 ft²
Area of the three circles = 3πr² = 2.356 ft²
Probability = favourable outcome ÷ Total outcome
Probability of the penny falling into the hole = area of the three circles ÷ area of board
Pr = 2.356 ÷ 15 = 0.1571
Converting to percentage, we multiply by 100
Pr = 0.1571 * 100
Pr = 15.71% ≈ 16%
Therefore, the probability of the penny falling into the hole is 15.71% ≈ 16%
