Gross pay = 765
federal withholding tax = 68
Social security tax = 765 * 6.2% = 47.43
Medicare tax = 765 * 1.45% = 11.09
State tax (22% of federal tax) = 68 * 22% = 14.96
765 - 68 - 47.43 - 11.09 - 14.96 = 623.52
<span>Lauren's net pay is 623.52 so the answer is D.</span>
Let the other 2 unknown sides be y n z
look at the two smaller triangles inside
y^2 = 12^2 + x^2 and
z^2 = 21^2 + x^2
from the biggest triangle
(12+21)^2 = y^2 + z^2
substituting
(12+21)^2 = (12^2 + x^2) + (21^2 + x^2)
33^2 = 12^2 + 21^2 + 2x^2
2x^2 = (33^2 - 12^2 - 21^2)/2 = 504
x^2 = 252
x = 15.9
ans is B
1. The value of x is 40
m ∠2x + 10 = 90
m ∠3x = 120
m ∠2x +5 = 85
m ∠2x -15 = 65
2. The value of x is 15
m ∠5x = 75
<h3>Calculating angles</h3>
From the question, we are to determine the value of x and the given angles
Since sum of angles is 360°
3x + 2x + 10 + 2x + 5 + 2x -15 = 360°
Collect like terms
3x + 2x + 2x + 2x = 360° - 10° - 5° + 15°
9x = 360
x = 360 / 9
x = 40
∴ x = 40
Then,
m ∠2x + 10 = 2(40) + 10
m ∠2x + 10 = 80 + 10
m ∠2x + 10 = 90
m ∠3x = 3(40)
m ∠3x = 120
m ∠2x +5 = 2(40) + 5
m ∠2x +5 = 80 + 5
m ∠2x +5 = 85
m ∠2x -15 = 2(40) - 15
m ∠2x -15 = 80 - 15
m ∠2x -15 = 65
Hence, the measure of angle 2x-15 is 65
2.
Since sum of angles is 180°
Then,
5x° + x° + 90° = 180°
6x° = 180° - 90°
6x° = 90°
x = 90/6
x = 15
m ∠5x = 5(15)
m ∠5x = 75
Hence, the measure of angle 5x is 75
Learn more on Calculating angles here: brainly.com/question/15820650
#SPJ1
Answer:
Fraction: 23/18
Radians: 23π/ 18
Step-by-step explanation:
A semi circle is 180 degrees, so 230 degrees of a semi circle would be 230/180, or 23/18.
To convert degrees to radians, do the degree times π/180, so the answer is 23π/18
52 by multiplyong 13*4 you get 52 as ur answer
