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3 years ago

Given a:b and b:c, find a:b:c. Write the ratio in simplest form. a:b=6:10 and b:c=21:33

Mathematics

1 answer:

kherson [118]3 years ago

7 0

Answer:

a:b = 6:10 = 3:5 = 21:35

b:c = 21:33 = 7:11 = 35:55

a:b:c = 21:35:55

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What is the value of x? There is isosceles triangle. The measure of angle which is between two congruent sides is (6x+10⁰). The

max2010maxim [7]

<h3><u>Answer</u><u>:</u><u>-</u></h3>

x=17

<h3><u>step-by</u><u>-</u><u>step</u><u> </u><u>Explanation</u><u>:</u><u>-</u></h3>

${\boxed{\quad\:\mapsto\rm Firstly\:Let's\:understand\:the\:concept:-}}$

<h3 />

This is a isosceles triangle. As it is a triangle we can apply sum theory. we have to take the sum of given unknown polynomials as 180° .Then by solving it we can find the value of x.

<h3><u>Solution</u><u>:</u><u>-</u></h3>

Given angles

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${\boxed{\sf The \:sum\:of\:angles=180°}}$

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$\qquad \quad{:}\longmapsto\tt (6x+10)+(x+17)+(4x-34)=180$

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Together like polynomials and constants

$\qquad \quad{:}\longmapsto\tt 6x+x+4x+10+17-34=180$

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Interchange sides

$\qquad \quad{:}\longmapsto\tt 11x=180+7$

$\qquad \quad{:}\longmapsto\tt 11x=187$

$\qquad \quad{:}\longmapsto\tt x=\cancel{\dfrac{187}{11}}$

Simplify

$\qquad \quad{:}\longmapsto\tt x=17$

$\therefore\sf The \:value\:of\:x\;is\:17.$

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