Opposite angles of any parallelogram are always congruent, so angle TUV is equal to angle TSV. This makes angle TSV to be 57 degrees. The other values are not needed.

6 0

3 years ago

The solutions to a quadratic equation are 6 and 2/3. Which quadratic function is related to this equation?

alekssr [168]

Answer:

The quadratic equation for the given roots 6 , $\frac{2}{3}$ is y = 3 x² - 20 x + 12

Step-by-step explanation:

Given as :

The roots of the quadratic equation are 6 , $\frac{2}{3}$

Let The standard quadratic equation

a x² + b x + c = 0

So, the roots are $\alpha$ = 6

And $\beta$ = $\frac{2}{3}$

Sum of roots = $\alpha +\beta$

i.e $\alpha +\beta$ = 6 + $\frac{2}{3}$ = $\frac{20}{3}$

<u>The quadratic equation</u>

y = (x - α) (x - β)

Or, y = (x - 6) (x - $\frac{2}{3}$ )

Or, y = x² - $\frac{2}{3}$ x - 6 x + (6 × $\frac{2}{3}$ )

Or, y = x² - ( $\frac{2}{3}$ + 6) x + 4

Or, y = x² - ( $\frac{2+18}{3}$ ) x + 4

Or, y = x² - $\frac{20}{3}$ x + 4

Or, y = 3 x² - 20 x + 12

Hence, The quadratic equation for the given roots 6 , $\frac{2}{3}$ is y = 3 x² - 20 x + 12 . Answer

6 0

3 years ago

Suppose the manager of a shoe store wants to determine the current percentage of customers who are males. How many customers sho

elena-s [515]

Answer:

There are 8 percent of customers who are males

Step-by-step explanation:

if 92 percent are females that would mean that the rest of that 8 percent are males

4 0

3 years ago