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Inessa [10]
3 years ago
14

JKL is a straight line.

Mathematics
1 answer:
kirza4 [7]3 years ago
3 0

Answer:

x = 32°

Step-by-step explanation:

∆KLM is an isosceles triangle because it has two equal sides, KL & KM. Therefore, the angles opposite to each of the two equal sides, which are referred to as the base angles are congruent to each other.

m<KML = m<KLM = 58°

m<MKL = 180 - (58 + 58) (Sum of triangle)

m<MKL = 64°

m<JKM = 180 - m<MKL (linear pair theorem)

m<JKM = 180 - 64 (Substitution)

m<JKM = 116°

∆JKM is also an isosceles triangle with two equal sides. Therefore, it's based angles (x & <J) would also be equal to each other.

Thus:

x = ½(180 - m<JKM)

x = ½(180 - 116) (Substitution)

x = 32°

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Step-by-step explanation:

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- 7.5x - 1.2y = -2.7<br>- 1.5x + 1.2y = -3.3​
BlackZzzverrR [31]

Answer:

x = 2/3 , y = -23/12

Step-by-step explanation:

Solve the following system:

{-7.5 x - 1.2 y = -2.7

{1.2 y - 1.5 x = -3.3

In the first equation, look to solve for x:

{-7.5 x - 1.2 y = -2.7

{1.2 y - 1.5 x = -3.3

-7.5 x - 1.2 y = -(15 x)/2 - (6 y)/5 and -2.7 = -27/10:

{-(15 x)/2 - (6 y)/5 = -27/10

Add (6 y)/5 to both sides:

{-(15 x)/2 = 3/10 (4 y - 9)

{1.2 y - 1.5 x = -3.3

Multiply both sides by -2/15:

{x = 1/25 (9 - 4 y)

{1.2 y - 1.5 x = -3.3

Substitute x = 1/25 (9 - 4 y) into the second equation:

{x = 1/25 (9 - 4 y)

{1.2 y - 0.06 (9 - 4 y) = -3.3

1.2 y - 0.06 (9 - 4 y) = 1.2 y + (0.24 y - 0.54) = 1.44 y - 0.54:

{x = 1/25 (9 - 4 y)

{1.44 y - 0.54 = -3.3

In the second equation, look to solve for y:

{x = 1/25 (9 - 4 y)

{1.44 y - 0.54 = -3.3

1.44 y - 0.54 = (36 y)/25 - 27/50 and -3.3 = -33/10:

(36 y)/25 - 27/50 = -33/10

Add 27/50 to both sides:

{x = 1/25 (9 - 4 y)

{(36 y)/25 = -69/25

Multiply both sides by 25/36:

{x = 1/25 (9 - 4 y)

{y = -23/12

Substitute y = -23/12 into the first equation:

Answer: x = 2/3 , y = -23/12

8 0
3 years ago
Read 2 more answers
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