Answer:
∠1 = 70°
Step-by-step explanation:
The three marked angles are vertical angles with the interior angles of a triangle. Vertical angles are congruent, hence the sum of the marked angles is 180°.
∠1 = 180° -60° -50° = 70°
Answer:
y = 2 when x =12
Step-by-step explanation:
y = k/x ..............as y varies inversely as x
8 = k/3
k = 8 * 3
k = 24
So,
y = k/x
y = 24/12
y = 2
Start with the Pythagorean theorem{A²+B²=C², A and B are the sides and C is the Hypotenuse/Longest Side.}
2²+4²=C²
4+16=C²
20=C².....{now square root both sides.√}
√20=√C²
4.472= C
P.S.: hope I helped :)
71 is the answer. If you round it, it would be 70.
Answer:
Correct answer: h = 3/5 or y = 3/5
Step-by-step explanation:
Given:
h(x) = (3x² - 9x - 4) / (5x² - 4x + 8)
h = lim x -> ∞ (3x² - 9x - 4) / (5x² - 4x + 8) the numerator and denominator will be divided by x² and get
h = lim x -> ∞ (3 - 9(1/x) - 4 (1/x²)) / (5 - 4(1/x) + 8 (1/x²)
The terms 1/x and 1/x² when x strives ∞ they strives 0
x -> ∞ ⇒ 1/x -> 0 and x -> ∞ ⇒ 1/x² -> 0
h = (3 - 0 - 0) / (5 - 0 + 0)
Horizontal asymptote is h = 3/5 or y = 3/5
God is with you!!!
