Answer:
360°
Step-by-step explanation:
We need only remember that the sum of the measures of the interior angles of a triangle is 180°. Angle c and 112° form a pair of "straight angles," so they add up to 180°; as a consequence, Angle c = 180° - 112°, or 68°.
With two of the interior angles now known, we can calculate the third, Angle A: It is 180° less (51° + 68°), or 180° - 119°, or 61°.
That means that the measure of Angle B is 180° - 61° = 119°
Looking at the pair C and 112°, we identify the exterior angle as 112°.
Looking at the pair A and B, or 61° and 119°, we identify the exterior angle as 119°.
Finally, looking at the pair 51° and (180° - 51°), or
51° and 129°, we identify the exterior angle as 129°.
Then the sum of the exterior angles 129° and 119° and 112° is 360°.
X=first week
y=second week
z=third week
t=fourth week
18 more one 2nd week than 1st
x+18=y
x=y-18
3rd week, 4 less than 2 times as second
z=2y-4
4th week, 92
ttal=382
x+y+z+t=382
sub waht we know
x=y-18
y=y
z=2y-4
t=92
y-18+y+2y-4+92=382
conbine line terms
4y+70=382
minus 70 boht sides
4y=312
divide both sides by 4
y=78
78 customers
for equation read my answer slowly
Answer:
Volume is 8 inches
Step-by-step explanation:
Formula for Volume is
V = L× W × H = 4 ×0.25 ×8 = 8 inches
Answer:
![\displaystyle \frac{d}{dx}[3x + 5x] = 8](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5B3x%20%2B%205x%5D%20%3D%208)
General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]: ![\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bcf%28x%29%5D%20%3D%20c%20%5Ccdot%20f%27%28x%29)
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Differentiate</u>
- Simplify:
- Derivative Property [Multiplied Constant]:
![\displaystyle y' = 8\frac{d}{dx}[x]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%208%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5D)
- Basic Power Rule:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
