Answer:
31 is a prime number.
How to tell if a number is prime: estimate the square root. In this case, we know the square root of 31 is between 5 and 6 and it isn’t divisible by either of those. If it is divisible by a number higher than it’s square root, the other factor must be lower. Is it divisible by 4 or 2? no, because it isn’t an even number. It’s not divisible by 3, because there’s a remainder of 1 if you try. You’ve eliminated all numbers less than the square root, so it is prime
Answer:
x = 25 , y = 19
Step-by-step explanation:
Since the triangle has 3 congruent sides then it is equilateral
The 3 angles are also congruent, with each angle = 60° , then
2x + 10 = 60 ( subtract 10 from both sides )
2x = 50 ( divide both sides by 2 )
x = 25
and
3y + 3 = 60 ( subtract 3 from both sides )
3y = 57 ( divide both sides by 3 )
y = 19
Answer:
The length of each of the other two sides would be 3.1 cm
Step-by-step explanation:
<u><em>The options of the question are</em></u>
A. 3.1 cm
B. 3.2 cm
C. 4.2 cm
D. 6.1 cm
we know that
An isosceles triangle has two equal sides and two equal interior angles
Let
x -----> the length of each of the two equal sides in the isosceles triangle
The perimeter of one isosceles triangle is equal to

Remember that
To maximize the use of the wire, the perimeter of 6 earrings (3 pairs of earrings) must be equal to 50 cm
so

Solve for x




therefore
The length of each of the other two sides would be 3.1 cm
Answer:
6x +3w
Step-by-step explanation:
3(2x + w)
Distribute
3*2x +3*w
6x +3w