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3 years ago

15

Find the length of the indicated triangle

1 answer:

lions [1.4K]3 years ago

8 0

Answer:

$35\ units$

Step-by-step explanation:

$We\ are\ given\ that,\\Side\ JK=(4x+19)\\Side\ KL=(9x-1)\\Now, By\ observing\ the\ triangle, we\ notice\ that\ \angle K = \angle L = \angle J.\\ Hence,\triangle JKL\ is\ an\ equilateral\ triangle\ as\ all\ its\ angles\ are\ equal.\\Hence,\\Another\ property\ of\ an\ equilateral\ triangle\ is\ its\ sides\ are\ equal\ too.\\Hence,\\Side\ JK= Side\ KL= Side\ JL\\Hence,\\By\ focusing\ only\ over\ the\ Sides\ JK\ and KL,\\(4x+19)=(9x-1)\\Hence,\\By\ solving\ the\ equation,\\4x+19=9x-1\\$

$19+1=9x-4x\\By\ using\ the\ Symmetric\ Property\ Of\ Equation,\\9x-4x=19+1\\Hence,\\5x=20\\x=4\\Now,\\As\ KL=(9x-1)\\By\ substituting\ x=4\ in\ (9x-1) ,\\9*4-1\\=36-1\\=35$

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Which statement is true? I know it’s not the first one.

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Answer:

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Step-by-step explanation:

Because PQ is 4 (Pythagorean triples), you can prove that triangle PBQ is congruent to PAQ by HL. You can then say AQ is equal to 3 becasue of CPCTC. AQ+QB=AB, or 3+3=6. AB=6

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3 years ago

Which of the following theorems verifies that ABC~WXY?

Bumek [7]

Answer:

The correct answer is option <em>B. AA</em>

<em></em>

Step-by-step explanation:

Given two triangle:

$\triangle ABC$ and $\triangle WXY$ .

The dimensions given in $\triangle ABC$ are:

$\angle A = 27^\circ\\\angle B = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ$

The dimensions given in $\triangle WXY$ are:

$\angle Y = 63^\circ\\\angle X = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

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3 years ago

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3 years ago

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attashe74 [19]

Step-by-step explanation:

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3 years ago

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AnnZ [28]

Answer:

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Step-by-step explanation:

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2 years ago