Answer:
x = 9
Step-by-step explanation:
The angles in red are equivalent and the triangle is isosceles.
This means the sides with lengths 12 and x + 3 are equivalent.
x + 3 = 12
x + 3 - 3 = 12 - 3
x = 9
:)
Answer:
Each family spent about 34.25 on dinner
Step-by-step explanation:
$167 - $30 (tip) = 137
137 ÷ 4 (for each family) = 34.25
BUT
if each family is seperate than they each spent about 11.75 on dinner
167 - (30 x 4) = 47
47 ÷ 4 = 11.75
I'm pretty sure the first one is the answer though
Rahul use addition property of equality in step 2.
Solution:
The image of the question is attached below.
Step 1:
combine like terms together.
To make the denominator same multiply and divide 2x by 5.
Step 2:
By addition property of equality, add 
on both side of the equation.
Step 3:
Step 4:
Multiply by 
on both side of the equation.
Hence Rahul use addition property of equality in step 2.
Answer:
60
Step-by-step explanation:
b = the hypotenuse of a right angle triangle
a = the adjacent side.
R is being defined by the cosine
cos(R) = adjacent / hypotenuse
adjacent = 16* sqrt(2)
hypotenuse = 32*sqrt(2)
Cos(R) = 16*sqrt(2) / 32*sqrt(2) sqrt(2) cancels.
cos(R) = 1/2
R = cos-1(1/2)
R = 60 degrees.
Answer:
314.2ft^2
Step-by-step explanation:
Given data
Diameter= 20ft
Radius r= 20/2= 10ft
The expression for the area is
A= πr^2
A= 3.142*10^2
A= 3.142*100
A= 314.2ft^2
Hence the area is 314.2ft^2
