The sum of the angles of a triangle is 180º.
We have three angles:
∠yxz=3x+5
∠xzy=180º-(8x-14)
∠xyz=4x
Therefore:
(3x+5º) + [180º-(8x-14º)]+(4x)=180º
3x-8x+4x=180º-5º-14º-180º
-x=-19º
x=19º
∠yxz=3x+5º =3(19º)+5º=62º
∠xzy=180º-(8x-14)=180º-(8(19º)-14)=42º
∠xyz=4x=4(19º)=76º
Answer: m∠yxz= 62º.
Answer:
Relative minima at 
, and relative maxima DNE.
Step-by-step explanation:
The given function is f(x) = x (x + 7) ...... (1)
We have to calculate the relative maxima and relative minima at point (x, y).
Rearranging the function given above we get.
⇒ 
Now, this is an equation of parabola having vertex at and the axis is parallel to positive Y-axis.
Therefore, the function(1) has a relative minima at , and the relative maxima DNE. (Answer)
Answer:
B and C
Step-by-step explanation:
All you need to do is find the answer for all of them and see which ones match
Original:
6 + (-4) - 5
6 - 4 - 5
2 - 5
<u><em>-3</em></u>
This is the answer for the original expression, now we need to see which one is the correct match....
A. -(-6 + 4 ) - 5
2 negatives being subtracted gives you a positive
6 + 4 - 5
10 - 5
5
Incorrect, so now we know its not A
B. 6 - 4 - ( -5)
Again 2 negatives give you a positive
6 - 4 + (5)
6 - 9
-3
Correct, so now we know its B
C. 6 - (4 + 5)
PEMDAS so do the parenthesis first
6 - 9
-3
Correct, so now we it's C.
D. 6 + 4 - 56
10 - 56
-46
Incorrect, so now we know its not D
E. -(-6) + (-4) - (-5)
Again, 2 negatives equal a positive
6 - 4 + 5
2 + 5
7
Incorrect so now we know its not E
The correct answer is C
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:
B = 61.75°
Step-by-step explanation:
The formula for the Law of Sines is given as:
a/ sin A = b/ sin B
In the question, we are given the following values
A = 56°, a = 16, b = 17
We are to solve for B
Hence,
16/ sin 56° = 17/sin B
Cross Multiply
sin B × 16 = sin 56° × 17
sin B = sin 56° × 17/16
sin B = 0.88
B = arc sin(0.88)
B = 61.74536°
Approximately B = 61.75°
Answer:
30
Step-by-step explanation:
