The value of x in the equation is 4
<h3>What are algebraic expressions?</h3>
Algebraic expressions are seen as expressions that consist of factors, variables, terms, coefficients, and certain constants.
These expressions are also known to be composed of some arithmetic operations, which includes;
- Subtraction
- Addition
- Division
- Multiplication
- Parentheses
- Bracket, etc
Given the expression;
(2x-4)^2=16
√(2x-4)^2 = 16
Find the square root of the expression, we have;
√(2x -4)^2= √16
Find the values
2x - 4 = 4
collect like terms
2x = 4 + 4
Add like terms
2x = 8
Make 'x' the subject of formula
x = 8/2
x = 4
Hence, the value is 4
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Answer:
a=-57
Step-by-step explanation:
-31=26+a
-26-31=a
a=-57
Answer:
Angles: 
Sides: 
Step-by-step explanation:
See attachment for complete question
From the attachment, we have:
Required
Complete the missing side and missing angles
To calculate angle B, we apply sine laws:
In this case:
This gives:
Cross Multiply
Divide both sides by 29
Take arcsin of both sides
So:
To solve for the third angle, we make use of:
This gives:
Hence, the angles are:
To calculate the length of the third side, we apply cosine law
Take the square root of both sides
Answer:
A = 210 cm²
Step-by-step explanation:
Perimeter of the triangle = the sum of the sides of the triangle.
70 = (3x - 1) + (4x + 1) + (3x)
70 = 10x
7 = x The length of the sides of the triangle are 3x - 1 = 20; 4x + 1 = 29 and
3x = 21.
Looking at the given information, this triangle is a special type of triangle because the area of a triangle is Area = 1/2 bh and you do not know which side is the base and height of the triangle.
Trying a² + b² = c² to see if it is a right triangle. 20² + 21² = 29 ² ; yes it is a right triangle and now we know that the base and height is 20 and 21. The longest side is the hypotenuse in a right triangle
A = 1/2bh
A = 1/2 (20)(21)
A = 10 · 21
A = 210 cm²
