Answer:
x = 11
Step-by-step explanation:
- Here, the two angles given are equal to each other.
- So, it is an isosceles triangle.
- Therefore, the sides opposite to the two angles are equal.
- Therefore,
(x + 13) ft = 24 ft
or, x ft = 24 ft - 13 ft
or, x ft = 11 ft
or, x = 11
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.
Answer:
AC = 7.12 units
Step-by-step explanation:
A right triangle has two legs and a hypotenuse. The hypotenuse is opposite the right angle. As Angle C is the right angle, then the triangle can be constructed as shown in the picture attached. The sides of the triangle have a relationship known as the Pythagorean Theorem a² + b² = c². In the theorem, the legs of the triangle are a and b while the hypotenuse is c. Substitute a = x, b = x+6, and c = √52. Simplify and solve.
a² + b² = c²
x² + (x+6)² = √52²
x² + x² + 12x + 36 = 52
2x² + 12x - 16 = 0
You can use the quadratic formula to solve by substituting a = 2, b = 12, and c = -16.
The quadratic formula is
.
Substitute and you'll have:


Only 1.12 is a solution since 7.13 will not satisfy the Pythagorean theorem
Side AC is 6 units longer than side BC. This means x = BC and AC = x + 6.
AC = 1.12 + 6 = 7.12
The true statement is that: if you cannot get from one term to the next by adding or multiplying by a constant value, the sequence is neither arithmetic nor geometric
<h3>How to determine the true statement</h3>
A progression can either be arithmetic, geometric or neither.
- When the progression has a common difference (gotten by addition), then the progression is arithmetic
- When the progression has a common ratio (gotten by multiplication), then the progression is geometric
If the above are not true, then the sequence is neither arithmetic nor geometric
Read more about sequence at:
brainly.com/question/6561461
His brother would be 7 years old.