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musickatia [10]
3 years ago
6

Solve 10 X + 8 / 2 X + 7 is equal to 4 ​

Mathematics
1 answer:
ale4655 [162]3 years ago
4 0

Answer:

x = 10

Step-by-step explanation:

\frac{10x + 8}{2x + 7}  = 4

or, 10x + 8 = 4(2x + 7)

or, 10x + 8 = 8x + 28

or, 10x - 8x = 28 -8

or, 2x = 20

or, x = 20/2

or, x = 10

x = 10

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Find the length of the line PA.
Diano4ka-milaya [45]

RO divides the rectangle into two congruent right triangles.

The area of the one triangle is equal half area of the rectangle.

Calculate the area of rectangle:

A_R=lw\\l=12,\ w=5\\\\A_R=12\cdot5=60

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Use the Pythagorean theorem to calculate the length of RO:

|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13

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\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62

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