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2 years ago

If m∠T = (2x + 85) °, m∠V = (5x + 29) °, and the sum of the measures of the angles is 93 ° , find the measure of each angle.

Mathematics

1 answer:

Hitman42 [59]2 years ago

3 0

Answer: 79 and 14

X would be -3 because (2 x -3 + 85) is 79 and doing it for (5x + 29) would get 14.

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Curtis threw 18 darts at a dartboard. 48% of his darts hit the bull’s-eye. How many darts did not hit the bull’s-eye?

Pepsi [2]

Change 48% to 0.48
0.48 x 18 = 8.64
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1 year ago

How do i solve this?

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2 years ago

What would X is less than or equal to negative 7 look like as a graph

Anastaziya [24]

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2 years ago

Find the minimum value of the function f(x)=x^2+5x-6

mash [69]

<h3><u>Explanation</u></h3>

Method 1 (Formula)

$\begin{cases}h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{2a} \end{cases}$

The vertex of Parabola is the maximum/minimum point depending on the value of a.

Find Vertex

<u>h-value</u>

$h = - \frac{5}{2(1)} \\ h = - \frac{5}{2}$

<u>k-value</u>

$k = \frac{4(1)( - 6) - {(5)}^{2} }{4(1)} \\ k = \frac{ - 24 - 25}{4} \\ k = \frac{ - 49}{4} \\ k = - \frac{49}{4}$

The minimum value is the value of k. Therefore the minimum value is - 49/4 at x = -5/2.

Method 2 (Derivative)

This is Calculus method. We simply differentiate the function then substitute y' = 0.

Differentiate Function

$f'(x) = 2 {x}^{2 - 1} + {5x}^{1 - 1} - 0 \\ f'(x) = 2x + 5$

Substitute f'(x) = 0

$0 = 2x + 5 \\ - 5 = 2x \\ - \frac{5}{2} = x$

Substitute x = -5/2 in the original equation.

$f(x) = {( - \frac{5}{2} )}^{2} + 5( - \frac{5}{2} ) - 6 \\ f(x) = \frac{25}{4} - \frac{25}{2} - 6 \\ f(x) = \frac{25}{4} - \frac{50}{4} - \frac{24}{4} \\ f(x) = \frac{25}{4} - \frac{74}{4} \\ f(x) = - \frac{49}{4}$

<h3><u>Answer</u><u /></h3>

<u> $\sf{the \: \: minimum \: \: value \: \: is \: \: - \frac{49}{4} \: \: at \: \: x = - \frac{5}{2} }$ </u>

4 0

2 years ago

A television with a price of $300 is to be purchased with an initial payment of $60 and weekly

Sav [38]

Answer:

Equation which can be used to find the number of weekly payments w

is 300 = 60 + 3 w.

Step-by-step explanation:

Here, the selling price of the TV =$300

The initial TV payment = $60

Per week payment of TV = $30

The number of weeks, the payment is made = w

So, the amount paid for TV in w weeks = w x ( Payment in 1 week)

= w x ( $30) = 30 w

So, The total SP of TV = Initial Payment + Payment made in w weeks

⇒ 300 = 60 + 3w

Hence, equation which can be used to find the number of weekly

payments w is 300 = 60 + 3 w.

3 0

2 years ago