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3 years ago

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Angles T and V are complementary.Angle T has a measure of (2x+10) Angle V has a measure of 48 what is the value of x

1 answer:

never [62]3 years ago

3 0

The answer is x=16

complimentary means that when the measures of both angles are added together they equal 90 degrees. To get the answer you subtract 48 from 90 and get 42. Then you subtract 10 from 42 because it is added in the parentheses. Then you divide 32 by 2 and you get your answer which is 16.

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2x^2=9-3x <br> Find the factors

d1i1m1o1n [39]

Answer:

x = -3, $\frac{3}{2}$

Step-by-step explanation:

The given quadratic equation is: $2x^2 = 9 - 3x$

This can be written as: $2x^2 + 3x - 9 = 0$

To solve a quadratic equation of the form $ax^2 + bx + c = 0$ we use the formula:

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

Here, a = 2; b = 3; c = - 9

Therefore, the roots of the equation are:

$x = \frac{- 3 \pm \sqrt{9 - 4(2)(-9)}}{2(2)}$

$\implies x = \frac{-3 \pm \sqrt{81}}{4}$

$\implies x = \frac{-3 \pm 9}{4}$

We get two values of 'x', viz.,

x = $\frac{-3 + 9}{4}$ and $\frac{- 3 - 9}{4}$

$\implies x = \frac{6}{4} \hspace{5mm} \& \hspace{5mm} \frac{-12}{4}$

⇒ x = -3, 3/2

Since the factors of the quadratic equation is asked, we write it as:

(x + 3)(x - $\frac{3}{2}$ ) = 0

because, if (x - a)(x - b) are the factors of a quadratic equation, then 'a' and 'b' are its roots.

Multiply (x + 3) and (x - $\frac{3}{2}$ to see that this indeed is the given quadratic equation.

5 0

2 years ago

Work out the area of this circle.<br> Give your answer in terms of it and state its units.<br> 6 mm

andrey2020 [161]

Answer:

113.142 mm

Step-by-step explanation:

Easy.

Formula:

pi x radius x radius

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22/7 x 6 x 6 = 113.142 mm

6 0

2 years ago

Read 2 more answers

SoMeonE plZ hAlp me lol

jeka94

C.√93

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2 years ago

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2 years ago

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Tom [10]

It has only one solution

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2 years ago