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zzz [600]
3 years ago
14

Find the missing length of the triangles.

Mathematics
2 answers:
slega [8]3 years ago
5 0

They are both right triangles so we can use the Pythagorean

theorem to solve.

6. B = sqrt(15^2-9^2)

B = 12 mm

7. B = sqrt(26^2-10^2)

B = 24 Cm

fiasKO [112]3 years ago
3 0

Answer:

6) b = 12mm

7) b = 24cm

Step-by-step explanation:

6) To find b, you will subtract the square root of the square of 9mm from the square of 15mm

i.e. b = \sqrt{(15mm)^{2} - (9mm)^{2}  }

b = \sqrt{225mm^{2} - 81mm^{2}  }

b = \sqrt{144mm^{2} }

b = 12mm

7) To find b, you subtract the square root of the square of 10cm from the square of 26cm

i.e. b = \sqrt{(26cm)^{2} - (10cm)^{2} }

b = \sqrt{676cm^{2} - 100cm^{2}  }

b = \sqrt{576cm^{2} }

b = 24cm

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Answer:

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Solve the equation. Check for extraneous solutions. |x - 4| = 5x + 12<br><br> x = []
kykrilka [37]

The solution of the equation is x = -4/3.

<h3>What does it mean to solve an equation?</h3>

An equation represents equality of two or more mathematical expression.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

WE have been given an equation as;

|x - 4| = 5x + 12

In an absolute value equation, we solve the original expression as our first equation. Our second one is that we multiply the right side by -1.

Case 1: original equation

|x - 4| = 5x + 12

x - 4 = 5x + 12

x - 5x = 12 + 4

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Case 2: Opposite equation

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|x - 4| = 5x + 12

use x = -4

|-4 - 4| = 5(-4) + 12

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Now,  |x - 4| = 5x + 12

use x =  -4/3

| -4/3 - 4| = 5( -4/3) + 12

|-16/3 | = -20/3 + 12

|-16/3 | = 16/3

16/3 = 16/3

Thus, it is the  Solution.

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Step-by-step explanation:

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