The measure of angle P is 29 degrees
The sum of an interior angle of a triangle is 180 degrees. Given the following parameters:
Taking the sum and equating to 180 degrees:
m<M + m<N + m<P = 180 degrees
15x + 5 + 3x + 2 + 5x - 11 = 180
23x - 4 = 180
23x = 184
x = 184/23
x = 8
Get the measure of m<P
m<P = 5x - 11
m<P = 5(8) - 11
m<P = 40 - 11
m<P = 29 degrees
Hence the measure of angle P is 29 degrees
Learn more on angles here: brainly.com/question/25770607
Answer:
Converges, 57.6
Step-by-step explanation:
48, 8, 4/3, 2/9...
ratio = 8/48 = 1/6
A sequence converged if the ratio is between -1 and 1.
So, this sequence converges
Limit = a/(1-r)
Where a is the first term, and r is the common ratio
Limit = 48/[1 - (1/6)]
= 48/[5/6]
= 48 × 6/5
= 57.6
If 4x = 8x - 1 then 4x must be equivalent to 1. So that means x is .25 or 1/4.
Hope this helps!
(I assumed your trying to solve for x, please word the question better next time)
Answer:
x= 11/3
Step-by-step explanation:
Answer:
The area of the shape is
.
Step-by-step explanation:
The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.
Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.
To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.
First separate the composite shape into three simpler shapes, in this case two rectangles and a triangle. Then find the area of each figure.
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
The area of the first rectangle is 
The area of the second rectangle is 
The area of a triangle is given by the formula
where <em>b</em> is the base and <em>h</em> is the height of the triangle.
The area of the triangle is 
Finally, add the areas of the simpler figures together to find the total area of the composite figure.
