Prime numbers are numbers that have only one factor pair; 1 and themselves.
Let's start from 21.
21 = 1 x 21, 3 x 7.
This has two factor pairs, this is not prime.
Let's try 22.
22 = 1 x 22, 2 x 11.
This also has two factor pairs, this is not prime.
Let's try 23.
1 x 23.
This is a prime number, as it only has one factor pair; 1 and itself.
23 is your prime number.
I hope this helps!
Answer:
12 by 12
Step-by-step explanation:
The area of a square is , where is side length of the square. Therefore, we have:
Since all side lengths of a square are equal, the dimensions are 12 by 12.
She is going to practice piano for 80 minutes. First you want to divide the number of minutes in the lesson by 5 to find how many times 5 minutes goes by in 20 minutes. Next you want to multiply your answer for that, which should be 4, by the amount she wants to practice. So you do 4 x 20, and get 80 minutes total.
Answer:
9x^4 +24x^2 y+16y^2
Step-by-step explanation:
See image below:)
Answer:
166°
Step-by-step explanation:
Let's label our triangle.
We'll name the left one, next to ∠x, ∠A.
The bottom one, next to the 97°, ∠B.
And the top one, ∠C.
We know what angle ∠A is because its a supplementary angle to the 97° one.
180° - 97° = 83°
We know that the triangle is isosceles, so that gives us ∠C as well. 83°
∠A is the last remaining angle.
The sum of the angles to our ΔABC is 180°.
∠A = 180° - ∠B - ∠C
∠A = 180° - 83°- 83°
∠A = 14°
∠x and ∠A are supplementary angles!
∠x = 180° - ∠A
∠x = 180° - 14°
∠x = 166°