Answer:
Both angles x and y are 69 degrees
Step-by-step explanation:
Because the angle with measure 69 degrees and angle x are alternate interior angles, they have equal value. Therefore, x has measure 69 degrees. Because this figure is a trapezoid, angle y is supplementary to the angle with measure 111 degrees. Therefore, y=180-111=69 degrees as well. Hope this helps!
Answer:
16.07 milligrams
Step-by-step explanation:
From the question,
Using the formula of radioactive decay,
R/R' = 2ᵃ/ᵇ..................... Equation 1
Where R = Original mass of the polonium-210, R' = Final mass of polonium-210 after decaying, a = Total disintegration time, b = half life of polonium-210.
Make R' the subject of the equation
R' = R/(2ᵃ/ᵇ)................ Equation 2
Given: R = 100 milligrams, a = 1 years = 365 days, b = 138.39 days
Substitute these values into equation 2
R' = 100/(2³⁶⁵⁰⁰/¹³⁸³⁹)
R' = 100/(6.222)
R' = 16.07 milligrams of plonium-210
X^2 - xy + xy - Y^2
=
X^2 - Y^2
Answer:
Step-by-step explanation:
p² + 14p + 49 = p² + 2 * 7p + 7²
Comparing with a² + 2ab + b²,
a= p and b = 7
So 2ab = 2*p*7 = 14 p
So, p² + 14p + 49 is a perfect trinomial
Answer:
Step-by-step explanation:
-3x+ 5 (3/5x -2 1/5)
= -3x+ 5 (3/5x - 11/5)
Opening bracket
= -3x+ 3x - 11
= - 11
