X-2y=7; ( ,2) (,1) complete each ordered pair so that is a solution of the given linear equation.

2 answers:

8 0

To complete each ordered pair, you would have to substitute the 1 and 2 in for y. Let's start with the 2 first. X-2(2)=7, x-4=7. Add 4 on each side. X=11. First ordered pair is (11,2). Now do the 1. X-2(1)=7, x-2=7. Add 2 on both sides. Second ordered pair is (9,1). Answers are (11,2) and (9,1)

VikaD [51]4 years ago

8 0

Answers are (11,2) and (9,1)

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In JKL, k=4.1 cm,j=3.8 cm and angle J=Q3^ Find all possible values of angle K , to the nearest inch of a degree .

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Answer:

74.0°

Step-by-step explanation:

In triangle JKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of angle K, to the nearest 10th of a degree

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.

Given a triangle with angles A, B, C and the corresponding sides opposite to the angles as a, b, c. Sine rule states that for the triangle, the following holds:

$\frac{a}{sin(A)}=\frac{b}{sin(B)}=\frac{c}{sin(C)}$

In triangle JKL, k=4.1 cm, j=3.8 cm and angle J=63°.

Using sine rule, we can find ∠K:

$\frac{k}{sin(K)}=\frac{j}{sin(J)} \\\\\frac{4.1}{sin(K)}=\frac{3.8}{sin(63)} \\\\sin(K)=\frac{4.1*sin(63)}{3.8}\\\\sin(K)=0.9613\\\\K=sin^{-1} (0.9613)\\\\K=74.0^o \\$