Answer:
B. 10
Step-by-step explanation:
First, we need to recognize that the two triangles are similar (the triangle with a leg value of 21 and the triangle with a leg value of 4 and hypotenuse x)
Let's first label the leg of the second triangle as y.
Then, we can set up this equation
Cross multiplying gives us
84=y^2
So, y=sqrt(84) or 2 sqrt(21).
Now, using the pythagorean theorem, we get
4^2+2sqrt(21)^2=x^2
100=x^2
x=10
7x+1000+x=89000
7x+x+1000-1000=89000-1000
8x=88000
8x/8=88000/8
x=$11000
Question says that there are two type of pans.
First pan has diameter of 9 inches.
Second pan has dimension 8 inches by 11 inches. Which means second pan is rectangular.
It seems you missed few parts of the question like what we have to do with it. I searched for similar question on internet and found that they are finding surface area of the both pans so i will tell you how to find that.
Radius of the circular pan = diameter/2 = 9/2 = 4.5 inches
Then surface area of the first (circular) pan = \pi r^2 = 3.14 *4.5^2 = 63.585 square inches.
Now surface area of second (rectangular) pan is given by formula of area of rectangle
Area = Length * width = 8*11= 88 square inches.
In any cyclic quadrilateral, angles opposite one another are supplementary, meaning
and given that 
, we have 
.
By the inscribed angle theorem,
and since
we have
and it follows that
Answer:
x=35
Angle measurements of the triangle from least to greatest:
35,40,105
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees.
So we know that 40+3x+x=180.
First step is to combine the like terms on the left hand side:
40+4x=180
Second step is to subtract 40 on both sides.
4x=140
Third step is to divide both sides by 4:
x=35
The angle that is given is the one that is 40 degrees.
So the angle whose measurement is x is really 35 degrees.
The angle whose measurement is 3x is real 3(35)=105 degrees.
In order from least to greatest we have:
35,40,105
