Answer:
The measure of angle 1 is 78 degrees.
Step-by-step explanation:
A straight line has an angle of 180 degrees. We are assuming this is a straight line, meaning angle 1 and angle 2 together should add up 180 degrees. If the measure of angle 2 is 102, the measure of angle 1 should be supplementary, which is another mathematical way of saying it adds up to 180 degrees. The measure of angle 1 has to be 78 degrees to make the angles add up to 180 degrees.
Answer:
45 and 450
Step-by-step explanation:
let x be the bigger number and y the smaller number, then:
495 = x+y, 10y=x
then you simplify:
495=10y+y
y=45
x=10y=450
Answer: 8e+30
Step-by-step explanation:
Good morning ☕️
Answer:
<h3>i¹ + i² + i³ +. . .+ i⁹⁹ + i¹⁰⁰ =
0</h3>
Step-by-step explanation:
Consider the sum S = i¹ + i² + i³ +. . .+ i⁹⁹ + i¹⁰⁰
S = i¹ + i² + i³ + . . . + i⁹⁹ + i¹⁰⁰
S = a₁ + a₂ + a₃ +. . . + a₉₉ + a₁₀₀
then, S is the sum of 100 consecutive terms of a geometric sequence (an)
where the first term a1 = i¹ = i and the common ratio = i
FORMULA:______________________
_______________________________
then
or i¹⁰⁰ = (i⁴)²⁵ = 1²⁵ = 1 (we know that i⁴ = 1)
Hence
S = 0
Answer:
y = 24
Step-by-step explanation:
The sum of the angles of a triangle is 180
A+B+C = 180
ABC = 60
We know 2x-4 = 60
2x -4+4 = 60+4
2x = 64
x = 64/2 = 32
A = 3x = 3(32) = 962x-4 = 60
B = 60
Using the first equation
96+ 60 +y = 180
156 +y =180
y = 180-156
y = 24
