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3 years ago

HELP DUE IN 15 MINS! Solve for x in the parallelogram below: X=??

Mathematics

2 answers:

malfutka [58]3 years ago

3 0

Answer:

x = 4

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180°, so

14x + 6 + 118 = 180

14x + 124 = 180 ( subtract 124 from both sides )

14x = 56 ( divide both sides by 14 )

x = 4

weqwewe [10]3 years ago

3 0

Answer:

x = 4

Step-by-step explanation:

<u>Adjacent angles of a parallelogram are supplementary</u>

14x + 6 + 118 = 180
14x + 124 = 180
14x = 180 - 124
14x = 56
x = 56/4
x = 4

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Step-by-step explanation:

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3 years ago

WhAt is the answer to -12 - 3=-51

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The one-to-one functions g and h are defined as follows

Debora [2.8K]

Answer:

$g^-^1(x)=-8$

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Step-by-step explanation:

When given the following functions,

$g=[(-2,-7),(4,6),(6,-8),(7,4)]$

$h(x)=3x+4$

One is asked to find the following,

1. Question 1

$g^-^1(4)$

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;

$g^-^1(4)$

$g(4)=6\\g(6)=-8\\g^-^1(4)=-8$

2. Question 2

$h^-^1(x)$

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,

$h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)$

$h^-^1(x)=\frac{x-4}{3}$

3. Question 3

$(h^-^1 \ o\ h)(-3)$

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function ( $h^-^1$ ) and simplify. Then substitute (-3) into the result.

$h^-^1\ o\ h$

$\frac{(3x+4)-4}{3}\\\\=\frac{3x+4-4}{3}\\\\=\frac{3x}{3}\\\\=x$

Now substitute (-3) in place of (x),

$=-3$

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