Answer:
The value for x is 40.
Step-by-step explanation:
So you know that the line that cuts through the right angle has one part of 10 degrees, and the other 2x degrees. A right angle is equal to 90 degrees, so the two parts, 2x and 10, have to equal 90. So the equation would look like this: 2x+10=90. Solve for x by subtracting 10 from both sides, resulting in 2x=80. Then divide both sides by 2, and get your answer of x=40.
-- The area of the entire yard, before the garden was planted, was
(side)² = (20x)² = 400 x² .
-- The area of the circle where garden was put in is
pi R² = (pi) · (4x)² = 16 pi x² .
-- The remaining area of the yard ... the part not covered by
the circular garden ... is
(400x²) - (16pi x²) = x² (400 - 16pi)
= 349.7 x² square units.
Given:
Measure of the internal angles of the regular polygon
To find:
The missing measure of angle x.
Solution:
The clear image of the question is attached below.
Number of sides (n) = 8
<u>Sum of interior angles of a regular polygon:</u>
Sum = (n - 2) × 180°
Substitute n = 8.
105° + 110° + 150° + 125° + 110° + 159° + 160° + x = (8 - 2) × 180°
919° + x = 6 × 180°
919° + x = 1080°
Subtract 919° from both sides.
919° + x - 919° = 1080° - 919°
x = 161°
The measure of the internal angle x is 161°.
There are 6+5 marbles.
Of those, 5 are red.
The chances of drawing a red marble are 5/11
Since you replace the marble you drew, the chances each draw remain 5/11
You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11. The odds of that also being red are 5/11… but we only care about that 5/11ths the time
5/11*5/11=25/121
The ladder extends 13.2 feet from the wall
The ladder makes an acute angle.
