Answer:
Step-by-step explanation:
<h3><u>Given that:</u></h3>
Exterior angle of L = 5x + 12
M = 3x - 2
N = 50
<h3><u>Statement:</u></h3>
- Exterior angle is equal to the sum of non-adjacent interior angles.
So, the exterior angle that is adjacent to L is equal to the sum of non-adjacent sides (M and N) of the triangle.
Here,
Exterior angle of L = M + N
5x + 12 = 3x - 2 + 50
5x + 12 = 3x + 48
Subtract 12 to both sides
5x = 3x + 48 - 12
5x - 3x = 36
2x = 36
Divide 2 to both sides
x = 18
So,
<h3><u>Measure of angle M:</u></h3>
= 3x - 2
= 3 (18) - 2
= 54 - 2
= 52°
Now,
<h3><u>Measure of angle L:</u></h3>
<u>We know that,</u>
- Sum of all the interior angles of triangle is 180 degrees.
L + M + N = 180°
L + 52 + 50 = 180
L + 102 = 180
Subtract 102 to both sides
L = 180 - 102
L = 78°
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Answer:
4.25%
Step-by-step explanation:
<u>Step 1: Calculate the commission paid</u>
<em>Commission = Gross earning - base salary</em>
<em>Commission = 441.3 - 375</em>
Commission = 66.3
<u>Step 2: Calculate the commission sales</u>
<em>Commission sales = Total sales - quota sales</em>
<em>Commission sales = 6560 - 5000</em>
Commission sales = 1560
<u>Step 3: Calculate the rate of commission</u>
<em>x% of 1560 = 66.3</em>
<em>x% * 1560 = 66.3</em>
<em>x% = 0.0425</em>
x = 4.25%
Therefore, the rate of commission was 4.25%.
!!
q(x=f(x-h+k
here, h=0, k=-8, so
to translate f(x) 8 units down, we have
q(x)=f(x-0)-8
=2x^2-3x+5-8
=2x^2-3x-3
Answer:
-46
Step-by-step explanation:
We need to find the common difference of this arithmetic sequence:
So, the common difference d = -4. We can now write the equation:
So, the 15th term is -46.
Hope this helps!
= -(14w + 8) + 8 = 3
= -14w - 8 + 8 = 3
= -14w = 3
w = -3/14
In short, Your Answer would be -3/14
Hope this helps!
