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3 years ago

Find the value of x and y

Mathematics

1 answer:

Romashka [77]3 years ago

6 0

Step-by-step explanation:

$\triangle ABC \sim\triangle DEF..(Given) \\ \therefore \frac{AB}{DE} =\frac{BC}{EF}=\frac{AC}{DF}..(CSST)\\\\\therefore \frac{6}{4} =\frac{7}{x}=\frac{8}{y}\\\\ \therefore \frac{6}{4} =\frac{7}{x} \\ \therefore \: x = \frac{7 \times 4}{6} \\ \\\therefore \: x = \frac{28}{6} = \frac{14}{3} \\ \\ \huge \red{ \boxed{ \therefore \: x = \frac{14}{3} }} \\ \\ \because \: \frac{6}{4} =\frac{8}{y} \\ \\ \therefore \:y = \frac{4 \times 8}{6} \\ \\ \therefore \:y = \frac{32}{6} \\ \\ \huge \purple{ \boxed{ \therefore \:y = \frac{16}{3} }}\\ \\$

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Which equivalent four-term polynomial can be created using the X method? x2 8x 8x 48 x2 – 12x – 4x 48 x2 12x 4x 48 x2 – 8x – 8x

Lerok [7]

Polynomial are expressions. The equivalent four-term polynomial of x²+16x+48 is x²+12x+4x+48.

<h3>What are polynomial?</h3>

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

In order to find the equivalent four-term polynomial of the given quadratic equation, we will break constant b(16) into two parts such that the sum of the parts is 16, while their product is equal to the product of the constant a(1) and c(48).

Therefore, the solution of the polynomial is,

$x^2+ 16x+48\\\\ = x^2 + 12x+4x+48$

Hence, the equivalent four-term polynomial of x²+16x+48 is x²+12x+4x+48.

Learn more about Polynomial:

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2 years ago

What are the values of x and y. In the given figure?

anyanavicka [17]

Answer:

y = 52 degrees

x = 7 degrees

Step-by-step explanation:

Hello! So, we can first easily find out the measurement of y because of the Base Angles Theorem.

[ The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent. The Isosceles Triangle Theorem states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. ]

- www.ck12.org

So basically, in an iscoceles triangle, the base angles are equal so therefore, y = 52 degrees

Now we have to solve for x. We know that the sum of the angles in a triangle are 180 so we have to make an equation:

52 + y = 14x + 6 {<em>We know that y is 52 degrees so we should plug that in</em>}

52 + 52 = 14x + 6 --> Now we should simplify:

104 = 14x + 6

98 = 14x

x = 7 degrees

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3 years ago

Read 2 more answers

Please help I don't understand.

Kay [80]

I don’t really know sorry

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3 years ago

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Temka [501]

Answer:

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Step-by-step explanation:

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