<h3>
Answer: 115</h3>
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Explanation:
Refer to the diagram below. I've drawn diagonal that slopes upward. This diagonal cuts the quadrilateral into two triangles: One is equilateral and the other is isosceles.
The equilateral triangle marked in blue has all three angles 60 degrees each.
Note that the 60 and y angles combined to form 130, so,
60+y = 130
y = 130-60
y = 70
Then focus on the isosceles triangle (angles y, w and w). These three interior angles must add to 180
y+w+w = 180
70+2w = 180
2w = 180-70
2w = 110
w = 110/2
w = 55
This adds onto its adjacent neighbor of 60 to get w+60 = 55+60 = 115 degrees which is the value of x.
x^2−17x+30=0
Step 1: Factor left side of equation.
(x−2)(x−15)=0
Step 2: Set factors equal to 0.
x−2=0 or x−15=0
x=2 or x=15
You need to state which one is the height.
Answer:
we conclude that the intervals in which the function P(t) is decreasing are:
Step-by-step explanation:
At x< 1, the function P(t) is decreasing
- A function p is an increasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>x
- A function p is a decreasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>x
From the figure, it is clear that the function seems to be increasing
from (1, 3) and then 4 to onwards.
But it is clear that the function seems to be decreasing from the x < 1 and from the interval (3, 4).
Therefore, we conclude that the intervals in which the function P(t) is decreasing are: