Answer:
Statements: Reasons:
1) ∠2 and ∠4 are vertical angles given
2) limes <em>m </em>and <em>n </em>intersect at <em>P </em>definition of vertical angles
3) ∠3 and ∠4 are linear pair definition of linear pair
4) ∠2 and ∠3 are linear pair definition of linear pair
5) m∠3 + m∠4 =180 angle addition postulate
6) m∠2 + m∠3 =180 angle addition postulate
7) m∠2 + m∠3 = m∠3 + m∠4 substitution property
8) m∠2 = m∠4 subtraction property
9) ∠2 ≅ ∠4 definition of congruent(≅) angles
Answer:
-x+20=31
Step 1: Subtract 20 from both sides.
−x+20−20=31−20
−x=11
Step 2: Divide both sides by -1.
−x
−1
=
11
−1
x=−11
Answer:
x=−11
Answer:
The square of a prime number is prime
Answer:
Step-by-step explanation:
<u>Given sequence:</u>
<u>This is AP with:</u>
- The first tern a₁ = - 3
- Common difference d = 3
<u>The rule for the nth term of the sequence is:</u>
<u>Substitute values:</u>
- aₙ = -3 + (n - 1)(3) =
- -3 + 3n - 3 =
- 3n - 6
Answer:The formula for a combination of choosing r unique ways from n possibilities is:
nCr = n!
r!(n - r)!
where n is the number of items and r is the unique arrangements.
Plugging in our numbers of n = 10 and r = 0, we get
10C0 = 10!
0!(10 - 0)!
10C0 = 3,628,800
3,628,800
