Answer:
Find the length of one side of the pentagon. Explanation: A regular pentagon must have five equivalent sides and five equivalent interior angles. Regular pentagons can be divided up into five equivalent interior triangles, where the base of the triangle is a side length and the height of the triangle is the apothem.
<u>The question in English</u>
Observe the following triangles. Make sure they are similar.
we know that
If two angles of a triangle have measures equal to the measures of two angles of another triangle, then the triangles are similar.
so
In the triangle ABC
Find the angle C
the sum of the internal angles of a triangle is equal to 180 degrees
A+B+C=180
solve for C
C=180-(A+B)-------> C=180-(50+57)
C=73°
angle C=angle R
angle A=angle P
therefore
<u>the answer is</u>
triangles ABC and PQR are similar
Answer:
by 
by 
Step-by-step explanation:
In this problem I'm assuming the office is rectangular.
so
The area of rectangle is equal to

where
L is the length of the rectangle
W is the width of the rectangle
In this problem we have

so
------> equation A
Find two possible dimensions of the office
case A) Assume a length side L and find the value of W in the equation A
so
For 
substitute in the equation and solve for W


The dimensions are
by 
case B) Assume a length side L and find the value of W in the equation A
so
For 
substitute in the equation and solve for W


The dimensions are
by 
The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.
Answer:
<u>4(1 – x) + 2 x = -3( x + 1)</u>
first do 4 time 1= 4
then do 4 times x =4x
now the equation should look like this
4-4x+2x=-3(x+1)
then do the other side of the equation
-3(x+1)
=-3x-3
Now collect the like terms:
-4x-2x
now the equation should look like this
4-2x=-3x-3
now add 3x add on both sides
4-2x+3x=-3
put the 4 on the other side
-2x+3x=-3-4
now again collect the like terms (-2x+3x=1 which is just x and -3-4 =-7)
x=-7
answer
x=-7