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3 years ago

In the diagram, △ F H J ≅△ H F G . Find the values of x and y. Enter your solutions as numbers.

Mathematics

2 answers:

aniked [119]3 years ago

7 0

Let's solve for x first.

6x+8=35, because of the Alternate Interior Angles Theorem. When solving for x, that gives us x=4.5

According to CPCTC ~ Congruent Parts of Congruent Triangles are Cogruent, 2.5=2y-3 .. solving for y, that would give us y= 2.75

Happy solving! Hope that helps!

loris [4]3 years ago

4 0

Y= 2.75 add 3 to both sides and divide by 2 (2y - 3 = 2.5)

x= 4.5 subtract 8 from both sides and divide by 6 (6x + 8 = 35)

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Consider functions f and g.1 + 12f(1) = 12 + 4. – 12for * # 2 and 7 -64.2 – 16. + 1641 +48for a # -12 Which expression is equal

lisabon 2012 [21]

Given the following functions below,

$\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}\text{ and} \\ g(x)=\frac{4x^2-16x+16}{4x+48} \end{gathered}$

Factorising the denominators of both functions,

Factorising the denominator of f(x),

$\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}=\frac{x+12}{x^2+6x-2x-12}=\frac{x+12}{x(x+6)-2(x+6)}=\frac{x+12}{(x-2)(x+6)} \\ f(x)=\frac{x+12}{(x-2)(x+6)} \end{gathered}$

Factorising the denominator of g(x),

$\begin{gathered} g(x)=\frac{4x^2-16x+16}{4x+48}=\frac{4(x^2-4x+4)}{4(x+12)} \\ \text{Cancel out 4 from both numerator and denominator} \\ g(x)=\frac{x^2-4x+4}{x+12}=\frac{x^2-2x-2x+4}{x+12}=\frac{x(x-2)-2(x-2)}{x+12}=\frac{(x-2)^2}{x+12} \\ g(x)=\frac{(x-2)^2}{x+12} \end{gathered}$

Multiplying both functions,

$undefined$

4 0

9 months ago

A nursery owner buys 9 panes of glass to fix some damage to her greenhouse. The 9 panes cost

Nadya [2.5K]

Answer: $11.80 for another 4 panes of glass.

Step-by-step explanation: We know that 9 panes of glass cost $26.55, but we should first find how many dollars would it cost per pane of glass, or 1.

So, we can divide 26.55 by 9 to find the price per 1 pan of glass.

26.55/9 = 2.95, or $2.95 per pane of glass.

Now, we want to know how much it will cost for 4 panes of glass. Simply multiply 2.95 by 4.

2.95 x 4 = 11.8, or $11.80 for another 4 panes of glass.

8 0

3 years ago

Read 2 more answers

Sarah was cutting fabric for a quilt. She cut a strip of fabric that was 19 1/8 inches long into 5 equal pieces. When she was fi

goldenfox [79]

We need a least common denominator
19 1/8 and 2 1/4 (also = to 2 2/8)
19 1/8-2 2/8= 16 7/8
16 7/8 divided by 5
ANSWER: 3 3/8 in

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3 years ago

Which of these expressions is equivalent to 3x(x-1)-5(x-1)? Select all that apply.

Maru [420]

Answer:

3x(x-1)-5(x-1)

=3x²-3x-5x+5 (we can count it one by one)

=3x²-8x+5 (we can calculate the same variable)

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2 years ago

Read 2 more answers

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IgorLugansk [536]

Answer:

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Step-by-step explanation:

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2 years ago