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Mathematics

1 answer:

KATRIN_1 [288]3 years ago

6 0

Answer:

a = 144
b = 67

Step-by-step explanation:

When a transversal crosses parallel lines, the interior same-side angles are supplementary. That means ...

a° and 36° are supplementary, so

a = 180 - 36 = 144

and

b° and 113° are supplementary, so

b = 180 -113 = 67

_____

The bases of this trapezoid are parallel, as indicated by the right-pointing arrow on each one. The left- and right-ends of the trapezoid are lines between the parallel bases that meet the requirement for the marked angles next to each one to be supplementary.

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8_murik_8 [283]

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Step-by-step explanation:

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List the steps that should be used to solve the equation f(x) = g(x) by graphing when f(x) = (1/2)² - 3 and g(x) = 3x + 5?

jolli1 [7]

value of x is: $x=\frac{-31}{12}$

Step-by-step explanation:

We need to solve the equation f(x)=g(x)

where $f(x)=(\frac{1}{2})^2-3$

and $g(x) = 3x + 5$

Solving to find f(x)=g(x)

Putting values of f(x) and g(x)

$f(x)=g(x)\\(\frac{1}{2})^2-3=3x + 5\\\frac{1}{4}-3=3x + 5\\Subtarct\,\,5\,\,on\,\,both\,\,sides:\\\frac{1}{4}-3-5=3x + 5-5\\\frac{1}{4}-8=3x\\Taking\,\,LCm\,\,on\,\,left\,\,side\\\frac{1-8*4}{4}=3x\\\frac{-31}{4}=3x\\Divide\,\,both\,\,sides\,\,by\,\,3\\x=\frac{-31}{4*3}\\x=\frac{-31}{12}$