Answer: 30 in.
Step-by-step explanation:
If it's an equilateral triangle, all sides are the same length. Therefore
3x + 15 = 7x - 5
x = 5
After figuring out x = 5, replace the x with five and solve the equation.
3(5) + 15 = 30
7(5) - 5 = 30
Now that we know the length of two sides, we can state that the third side-length <u>also</u> equals 30 inches because it is an equilateral triangle, meaning all sides are congruent/ the same.
I think it would go under equilateral..
Fred's age is 13 years
Let
Fred's age = x
Jack's age = 2x + 4
After 8 years:
- Fred's age = x + 8
- Jack's age = 2x + 4 + 8
= 2x + 12
Sum of their ages = Fred's age + Jack's age
59 = (x + 8) + (2x + 12)
59 = x + 8 + 2x + 12
59 = 3x + 20
59 - 20 = 3x
39 = 3x
x = 39/3
x = 13 years
Therefore, Fred's age = 13 years
brainly.com/question/24371832
The area of the composite shape in the diagram given is: 100 square inches.
<h3>How to Find the Area of a Composite Figure?</h3>
Area of a composite figure = sum of the areas of the shapes that make up the figure.
Area of the composite shape = 2(area of triangle) = 2(1/2bh)
Area of the composite shape = 2(1/2×10×10)
Area of the composite shape = 100 square inches.
Learn more about the area of a composite shape on:
brainly.com/question/8408690
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Given:
LCM(a,b) = 90 and GCD(a,b) = 3.
b is three more than a.
To find:
The values of a and b.
Solution:
We have,
LCM(a,b) = 90
GCD(a,b) = HCF(a,b) = 3
According to the question,
If a and b are two positive integers, then
Splitting the middle terms, we get
Using zero product property, we get
and
and
a is a positive integer so it cannot be negative. So, a=15.
Now,
Therefore, the value of a is 15 and the value of b is 18.