Answer:
We consider a triangle ABC as attached in the answer.
We draw a line parallel to AB that passes through point C.
Angles C and C' are vertical angles, therefore ∠C = ∠C'.
Angles B and B' are corresponding angles, therefore ∠B = ∠B'.
Angles A and A' are corresponding angles, therefore ∠A = ∠A'.
it can be seen that angle sum ∠A + ∠B + ∠C is equal to the angle sum ∠A' + ∠B' + ∠C'.
The three angles A', B', and C' form together a straight angle so, their angle sum is 180°. But then the angle sum ∠A + ∠B + ∠C must also be 180°.
This proofs that sum of angles of a triangle is equal to 180.
Answer:
6(x + 2)^2 + 8x + 2 + 1 = 0
Step-by-step explanation:
A quadratic equation has the variable with the highest power of 2
6(x + 2)^2 + 8x + 2 + 1 = 0 when foiled out it has the highest power of 2
6x4 + 7x2 – 3 = 0 power of 4
5x6 + x4 + 12 = 0 power of 6
x9 + x3 – 10 = 0 power of 9
In short, part A is from 1pm to 6pm, well, that's 5 hours, namely t = 5.
and part B is t = 12, so we simply plug those values in, nothing to it.
and round it up as needed if any.
Answer:
(1, 2) and (- 1, - 2)
Step-by-step explanation:
Given the 2 equations
x² + y² = 5 → (1)
y = 2x → (2)
Substitute y = 2x into (1)
x² + (2x)² = 5, that is
x² + 4x² = 5
5x² = 5 ( divide both sides by 5 )
x² = 1 ( take the square root of both sides )
x = ± 
= ± 1
Substitute these values into (2) for corresponding values of y
x = 1 → y = 2(1) = 2 ⇒ (1, 2)
x = - 1 → y = 2(- 1) = - 2 ⇒ (- 1, - 2)
Answer:
y=7, x=8
Step-by-step explanation:
