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2 years ago

The measures of a triangle are shown below. sovle for x

Mathematics

1 answer:

Zigmanuir [339]2 years ago

4 0

Answer:

$x=16$

Step-by-step explanation:

In a triangle the sum of all angle measures will always equal 180 degrees.

$A+B+C=180$

From the information given we know that the angle measures are:

$A= 90, B=(5x-3), C=(x+9)$

When you input this into the equation above you get:

$90+(5x-3)+(x+9)=180$

First, subtract 90 from both sides

$(5x-3)+(x+9)=90$

Next let's combine like terms

$6x+6=90$

Subtract 6 from both sides

$6x=84$

divide both sides by 6

$x=16$

<em>plz mark me brainliest. :)</em>

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2 years ago

Angles A and B are complementary and in ratio of 3:6. What is the measure of each angle

pashok25 [27]

complementary angles add up to 90°, so therefore we know that ∡A + ∡B = 90°, and also they are in a ratio of 3:6.

$\bf \cfrac{A}{B}=\cfrac{3}{6}\implies \cfrac{A}{B}=\cfrac{1}{2}\implies 2A=\boxed{B}
\\\\[-0.35em]
~\dotfill\\\\
A+B=90\implies A+\boxed{2A}=90\implies 3A=90\\\\\\ A=\cfrac{90}{3}\implies \blacktriangleright A=30 \blacktriangleleft
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
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Answer:

Step-by-step explanation:

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The measures of a triangle are shown below. sovle for x​

The measures of a triangle are shown below. sovle for x