A triangle has a total angle of 180 degrees. Since we know
that angle X = angle N = 20 degrees and angle Y = angle M = 75 degrees,
therefore angle Z or angle L is equal to:
angle L = 180 – 20 – 75
<span>angle L = 85
degrees</span>
Therefore w is:
angle L = 5 (w – 2)
5 (w – 2) = 85
w – 2 = 17
<span>w = 19</span>
Answer:
45
Step-by-step explanation:
I used Toa to figure it out. First I did Tan(32) times 13 and got 45.
Answer:
35 and 36
Step-by-step explanation:
To solve this problem, we must interpret it line by line;
- We are dealing with consecutive integers; these are integers with a difference of 1 between them.
let the first number = x
second number = x + 1
x
- one - ninth of the second;
(x + 1)
for the "less" ;
x -
(x + 1) = 3
Multiply through by 45
45(
x) - (45)
(x + 1) = 3 x 45
9x - 5(x + 1) = 135
9x - 5x -5 = 135
4x = 135 + 5
4x = 140
x = 35
Now, x+1 = 35 + 1 = 36
The consecutive integers are 35 and 36
Rewrite the given equation as

.
Since

, you can conclude that the imimum value of y will be gained for the minimum value of

. The minimum value of

is 0 for x=2.
So, y(2)=0+4=4.
Answer: minimum value of y is 4, when x=2.