Simplify. Note the equal sign. What you do to one side, you do to the other. Follow PEMDAS.
Isolate the x.
First, distribute 6 to all terms within the parenthesis
6(-3) = -18
6(4x) = 24x
7x - 18 + 24x = 199
Simplify. Combine like terms
31x - 18 = 199
Isolate the x. Add 18 to both sides
31x - 18 (+18) = 199 (+18)
31x = 199 + 18
31x = 217
Isolate the x. Divide 31 from both sides
31x/31 = 217/31
x = 217/31
x = 7
7 is your answer for x
hope this helps
The angle that corresponds with angle A will be P on the other triangle. Both angle A and P are 68 degrees.
And if you look at the sides of the triangle there is a similarity, proving the sides to be similar to each other.
Answer: 168cm^2
Step-by-step explanation:
lets split this into two shapes:
a rectangle and a triangle
Formulas:
rect: b * h
Tri: (b*h)/2
Solve:
12 * 10 = 120
(12*8)/2 = 48
120 + 48 =
168cm^2
Step-by-step explanation:
the sum of a number and 2 is no less than the product of 9 and the same number
Answer:
See below
Step-by-step explanation:
Here we need to prove that ,
Imagine a right angled triangle with one of its acute angle as 
.
- The side opposite to this angle will be perpendicular .
- Also we know that ,
And by Pythagoras theorem ,
Where the symbols have their usual meaning.
Now , taking LHS ,
- Substituting the respective values,
Since LHS = RHS ,
Hence Proved !
I hope this helps.
