180-145 equals 35. missing angle=35 degreees
Answer:
0.25
Step-by-step explanation:
(a) This is the same as computing 4⁵⁵ (mod 11). We have
4² ≡ 16 ≡ 5 (mod 11)
4³ ≡ 4 • 5 ≡ 20 ≡ 9 (mod 11)
4⁴ ≡ 4 • 9 ≡ 36 ≡ 3 (mod 11)
4⁵ ≡ 4 • 3 ≡ 12 ≡ 1 (mod 11)
Then from here,
4⁵⁵ ≡ (4⁵)¹⁰ • 4⁵ ≡ 1¹⁰ • 1⁵ ≡ 1 (mod 11)
(b) Each term in the sum
4ⁿ + 4ⁿ⁺¹ + 4ⁿ⁺² + 4ⁿ⁺³ + 4ⁿ⁺⁴
has a common factor of 4ⁿ, so this sum is the same as
4ⁿ (1 + 4 + 16 + 64 + 256) = 4ⁿ • 341 = 4ⁿ • 11 • 31
So the sum is indeed divisible by 11 for all integers <em>n</em>.
(c) Since 4ⁿ = (2ⁿ)², we know the sum is also divisible by 11 when <em>a</em> = 2.
The value of the variable x will be 37°. Then the measure of the angle ∠QNP will be 105°.
<h3>What is an angle?</h3>
The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The measure of angles ∠MNQ = (2x + 1)° and ∠QNP = (3x - 6)°.
Then the value of x will be
We know that the angles ∠MNQ and ∠QNP are supplementary angles. Then the value of the variable x will be
∠MNQ + ∠QNP = 180°
(2x + 1)° + (3x - 6)° = 180°
5x - 5° = 180°
5x = 185°
x = 37°
Then the measure of the angle ∠QNP will be
∠QNP = [3(37) - 6]°
∠QNP = 111° - 6°
∠QNP = 105°
The value of the variable x will be 37°. Then the measure of the angle ∠QNP will be 105°.
More about the angled link is given below.
brainly.com/question/15767203
#SPJ1
Answer:
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
Hence the numbers are 4 and -3
