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3 years ago

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How to find variables x- and y-

1 answer:

Monica [59]3 years ago

5 0

It says that the triangles are congruent (same size). Also, a triangle's angles add up to 180 degrees. In both of these triangles, one angle is 90° and another angle is 52°. The other angle is 180°-90°-52°=38°.

Solve these equations to find x and y: 2x+18=38, 3y+11=38

$2x+18=38\\2x=20\\x=10$

$3y+11=38\\3y=27\\y=9$

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666.6 to nearest integer

kari74 [83]

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Step-by-step explanation:

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yawa3891 [41]

Answer:

21.4

Step-by-step explanation:

We can solve for x using trigonometry

Here are the <u>Trigonometric Ratios</u>

Remember SOH CAH TOA

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse

Tangent = Opposite over Adjacent

We are given the measure of ∠T ( 72° )

We are also given the adjacent side length (6.6) ( Adjacent = the side length that is not the hypotenuse nor the opposite side length )

And we need to find the hypotenuse ( longest side length )

We this information we can use the trigonometric ratio Cosine to solve for x

That being said we want to set up an equation

(remember cosine = adjacent over hypotenuse )

$cos(72)=\frac{6.6}{x}$

Now we solve for x

We can't get rid of the 6.6 itself so we want to multiply each side by x

now we have $xcos(72)=6.6$

Step 2 divide each side by cos(72)

$\frac{xcos(72)}{cos(72)} =x\\\frac{6.6}{cos(72)} \\x=\frac{6.6}{cos(72)}\\cos(72)=0.3090169944\\\frac{6.6}{0.3090169944} =21.35804865\\$

We're left with x = 21.35804865

Finally we want to round to the nearest tenth of a foot and we get that x = 21.4

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Elena-2011 [213]

Answer:

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