Answer:
Step-by-step explanation:
The two base angles are equal.
The vertex angle is 8x
The two base angles are 5x + 5x
The sum of all three angles = 180 degrees (all triangles make 180 degrees when their interior angles are added).
5x + 5x + 8x = 180
18x = 180
x = 180/18
x = 10
Therefore the vertex angle is 8*10 = 80 degrees
One of the base angles = 10* 5 = 50 degrees
The other base angle = 50 because the triangle is isosceles.
<span>A polygon that is sometimes regular is a pentagon. A regular polygon is a polygon that has all sides equal and all interior angles are equal. Its sides and vertices are evenly spread around a central point, and a regular polygon is called convex where all the vertices point “outwards”.</span>
Equation: L= -0.5D+34.
The water level be 26 feet in 16 days.
<u>Step-by-step explanation:</u>
Let us consider the initial level (x=0) of the water is 34 feet. Then its coordinate point can be written as (0,34).
The water is receding at the rate 0.5 feet per day, which given us the information that 0.5 is the slope since it is the rate of change and it is decreasing so it is a negative slope.
⇒m= -0.5.
The line equation is y = mx+c. Let us rewrite as L= mD+c.
Where L is the level of water(y-axis) and D is the days(x-axis) and c is y-intercept.
⇒L= (-0.5)D+c.
To find y-intercept, substitute (0,34) (the known point from the graph) in the equation. Also, the point in y axis when x=0 is y-intercept.
34= (-0.5)(0)+c.
c=34.
∴L= (-0.5)D+34.
To find the days when the water achieves level as 26 feet:
26 = (-0.5)D+34.
26-34= (-0.5)D.
-8 = (-0.5)D.
D=
.
D= 16.
Given:
The diameter of the circle = 14 cm
To find:
The area of the circle.
Solution:
We have,
Diameter of the circle = 14 cm
We know that the radius of the circle is half of its diameter. So,


The area of a circle is:

Substituting
in the above formula, we get



Therefore, the area of the circle is 154 square cm.
Answer: 41
Step-by-step explanation:
12+14+15= 41