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3 years ago

Which equation can be used to solve

Mathematics

1 answer:

dmitriy555 [2]3 years ago

7 0

Answer:

Value of x1 = 10 and x2 = -3

Step-by-step explanation:

$when \: we \: multiply \: the \: above \: matrices \\ we \: get \\ 2x1 + 6x2 = 2 \: \: \: \: and \\ 0x1 + 1x2 = - 3 \\ then \: \: x2 = - 3 \\ on \: substituting \: x2 = - 3 \:\\ in \: first \: equation \: \\ 2x1 + 6( - 3) = 2 \\ 2x1 - 18 = 2 \\ 2x1 = 20 \\ x1 = \frac{20}{2} \\ x1 = 10$

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Given that LM is a midsegment of IJK, find JK. A. 7 B. 8 C. 14 D. 16

Leno4ka [110]

Answer: Option D. 16

Solution:

If LM is a midsegment of IJK, it is joining the midpoint of the sides IJ and IK, and it's half the length of the base of the triangle (JK), then:

L is the midpoint of the side IJ, and divides it into two congruent parts:

IL=LJ

Replacing IL by 7x and LJ by 3x+4:

7x=3x+4

Solving for x: Subtracting 3x both sides of the equation:

7x-3x=3x+4-3x

Subtracting:

4x=4

Dividing both sides of the equation by 4:

4x/4=4/4

Dividing:

x=1

Then we can determine the length of LM:

LM=2x+6

Replacing x by 1 in the equation above:

LM=2(1)+6

LM=2+6

LM=8

and because LM is half the length of the base of the triangle (JK)

LM=(1/2) JK

Replacing LM by 8:

8=(1/2) JK

Multiplying both sides of the equation by 2:

2(8)=2(1/2) JK

16=(2/2) JK

16=(1) JK

16=JK

JK=16

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3 years ago

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Answer:

Step-by-step explanation:

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