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Helen [10]
2 years ago
6

Simplify 5a+7b-12a+6c-13b-22a+53c

Mathematics
1 answer:
vekshin12 years ago
5 0

Answer:

−29−6+59

Step-by-step explanation:

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Triangles Q R S and X Y Z are shown. Angles Q S R and X Z Y are right angles. Angles Q R S and X Y Z are congruent. The length o
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Answer:

Three-fourths

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

∠QSR≅∠XZY ---> given problem

∠QRS≅∠XYZ ---> given problem

so

△QRS ~ △XYZ ----> by AA Similarity theorem

Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

That means

\frac{QS}{XZ}=\frac{QR}{XY}=\frac{RS}{YZ}

∠Q≅∠X

∠R≅∠Y

∠S≅∠Z

<em>In the right triangle XYZ</em>

Find the tangent of angle X

tan(X)=\frac{YZ}{XZ} ---> opposite side angle X divided by adjacent side angle X

substitute the given values

tan(X)=\frac{9}{12}

Simplify

tan(X)=\frac{3}{4}

Remember that

∠Q≅∠X

so

tan(Q)=tan(X)

therefore

tan(Q)=\frac{3}{4} ---->Three-fourths

7 0
2 years ago
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Identify the center and radius of a circle with equation (x+4)^2+(y-2)^2=36
Kitty [74]
In the equation of a circle in the form (x-h)^2 + (y-k)^2 = r^2, (h,k) is the center and r is the radius.

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2 years ago
Which of the following statements is true regarding the difference between a Descriptive investigation and an Experimental inves
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where are they

Step-by-step explanation:

wehre

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What is 2x^2-x-15 in vertex form
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(1/4,-121/8)

Step-by-step explanation:

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Step-by-step explanation:

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