Answer:
Taylor's conjecture is correct because the population of 2000 in the city was more compared to the population in 2010 in the same city. This is because the population in 2000 was 935,426 and it had 848 more people in that same city compared to in 2010. Therefore Taylor is right since 2000's population is 848 more than 2010's population...
Answer:
x = 10, x = 124
Step-by-step explanation:
(5)
Since Δ JKL is isosceles then the base angles are congruent, that is
∠ LJK = ∠ LJG = 80° , thus
∠ JLK = 180 - (80 + 80) = 180 - 160 = 20
x = 20 ÷ 2 = 10
(6)
Since Δ PQR is equilateral, then each of its angles = 60°
∠QRS = 60° - 32° = 28°
Since Δ SQR is isosceles then base angles are congruent, then
∠ SQR = ∠ QRS = 28 , thus
x = 180 - (28 + 28) = 180 - 56 = 124
By <em>trigonometric</em> functions and law of cosines, the value of x associated with a <em>missing</em> angle in the <em>geometric</em> system is between 7.701 and 7.856.
<h3>How to find a missing variable associated to an angle by trigonometry</h3>
In this question we have a <em>geometric</em> system that includes a <em>right</em> triangle, whose missing angle is determined by the following <em>trigonometric</em> function:
sin (7 · x + 4) = 12/14
7 · x + 4 = sin⁻¹ (12/14)
7 · x + 4 ≈ 58.997°
7 · x = 54.997°
x ≈ 7.856
In addition, the <em>geometric</em> system also includes a <em>obtuse-angle</em> triangle and that angle can be also found by the law of the cosine:
7² = 8² + 6² - 2 · (8) · (6) · cos (7 · x + 4)
17/32 = cos (7 · x + 4)
7 · x + 4 = cos⁻¹ (17/32)
7 · x + 4 ≈ 57.910°
7 · x ≈ 53.910°
x ≈ 7.701
Hence, we conclude that the value of x associated with a <em>missing</em> angle in the <em>geometric</em> system is between 7.701 and 7.856.
To learn more on triangles: brainly.com/question/25813512
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Answer:
3,0
Step-by-step explanation:
