3 years ago

The measures of the angles of a triangle are shown in the figure below. Solve for x. 54°

Mathematics

1 answer:

svp [43]3 years ago

4 0

Geometry

A right triangle adds up to 180°.

Make an equation to find x.

54°+x°+90°=180°

Add like-terms.

144°+x°=180°

Subtract 144 from both sides.

x°=36

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1) Subtracting one from the other

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Step-by-step explanation:

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$\frac{2x+1}{2y}=7\\\\$

Equation 2:

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$\frac{6x-1}{2y}=5\\\\6x-1=10y\\\\Multiplying\ equation\ 2\ with\ 2 \\\\12x-2=20y$

Now subtracting equation 2 from equation 1

$12x+6=84y\\\\12x-2=20y\\\\Subtracting\ leads\ to\\12x-12x+6-(-2)=84y-20y\\0+8=64y\\8=64y\\8/64=y\\0.125=y$

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$\frac{2x+1}{2y} =7\\\\2x+1=14y\\2x+1=14(0.125)\\2x+1=1.75\\2x=1.75-1\\2x=0.75\\x=0.75/2\\x-0.375$

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