Answer:
See answers below:
Step-by-step explanation:
Using corresponding angles properties, angles opposed by the vertex, and supplementary angle properties, we get:
<1 = 75 degrees
<2 = 105 degrees
<3 = 44 degrees
<4 = 136 degrees
<5 = 44 degrees
<6 = 90 degrees
<7 = 46 degrees
<8 = 75 degrees
<9 = 105 degrees
<10 = 75 degrees
<11 = 59 degrees
<12 = 46 degrees
<13 = 75 degrees
<14 = 105 degrees
<15 = 44 degrees
<16 = 136 degrees
<17 = 44 degrees
<18 = 136 degrees
Answer:
(k ∘ p)(x) = 2x^2 − 12x + 13
Step-by-step explanation:
k(x) = 2x^2 − 5 and p(x) = x − 3,
(k ∘ p)(x).= k(p(x))
This means put the function p(x) in for x in the function k(x)
(k ∘ p)(x) = 2(p(x)^2) -5
= 2(x-3)^2 -5
= 2 (x-3)(x-3) -5
FOIL
=2(x^2 -3x -3x+9) -5
=2 (x^2 -6x+9) -5
= 2x^2 -12x +18 -5
Combine like terms
= 2x^2 -12x +13
Answer:
Rounded to the nearest hundredth:
m = 3.14
Step-by-step explanation:
0.02m + 0.04 = -0.18 + 0.09m
Isolate the m
0.02m + 0.04 = -0.18 + 0.09m
-0.09m -0.09m
-0.07m + 0.04 = -0.18
-0.04 -0.04
Now, let's simplify it.
-0.07m = -0.22
---------- ---------
-0.07 -0.07
m = 3.14 (rounded to the nearest hundredth)
Answer:
The bearing of B from C is 22° counterclockwise
Step-by-step explanation:
∠CAB = 210 - 90 = 120°
Extend a line from A to the west.
drop a perpendicular line from that line to point C.
Let's call the point at the perpendicular point, M.
∠MAC = 180° - 120° = 60° because they are supplementary.
Now we have a right ∠CMA with a known hypotenuse and a known angle.
Solve for MA:
cos 60° = MA/3.8 = 1.9
Solve for MC:
sin 60° = MC/3.8 = 3.29
MB = 1.9 + 6.4 = 8.3
tan ABC = 3.29/8.3 = 21.62°
Answer:the area of their front yard and side yards is:
2*3*10 + 9*9 = 141 m^2
They do not need to reseed a proportion of the front yard covering 16 square meters where a flower bed is located:
141 - 16 = 125 m^2 is the area of the yard that the Solomon's want to r
Step-by-step explanation: