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valkas [14]
3 years ago
5

Find x A)-2 B)5 C)-5 D)9

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
3 0

Answer:

B

Step-by-step explanation:

From the figure, we can say:

∠NFG + ∠EFN = ∠EFG

We substitute the given measure and write:

6x + 4 + 24 = 12x - 2

Now, we simply solve this algebraically for "x". Shown below:

6x + 4 + 24 = 12x - 2\\6x+28=12x-2\\28+2=12x-6x\\30=6x\\x=\frac{30}{6}\\x=5

x is 5, so B is the correct answer.

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2. Solve the equation using the quadratic<br> formula.<br> -4x2 + 40x + 16 = 0<br> Page 1 of 2
kumpel [21]

The solution to given quadratic equation is x = -0.3851 or x = 10.3851

<em><u>Solution:</u></em>

Given equation is:

-4x^2 + 40x + 16 = 0

To find: solve by quadratic equation formula

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Using the above formula,

\text{ For} -4x^2 + 40x + 16 = 0 \text{ we have } a = -4 ; b = 40 ; c = 16

<u><em>Substituting the values of a = -4 ; b = 40 ; c = 16 in above quadratic formula we get,</em></u>

\begin{aligned}&x=\frac{-40 \pm \sqrt{40^{2}-4(-4)(16)}}{2 \times-4}\\\\&x=\frac{-40 \pm \sqrt{1600+256}}{-8}\\\\&x=\frac{-40 \pm 43.081}{-8}\\\\&x=\frac{-40+43.081}{-8} \text { or } x=\frac{-40-43.081}{-8}\\\\&x=-0.3851 \text { or } x=10.3851\end{aligned}

Thus the solution to given quadratic equation is x = - 0.3851 or x = 10.3851

8 0
3 years ago
This is Simple Interest 7 grade Ratio and Percent Problems
erastovalidia [21]
Formula: total = principal x (1 + (interest rate x loan time))

total = 1000 x (1 + (0.055 x 2))

total = 1000 x (1 + 0.11)

 total = 1000 x 1.11

total = $1110
8 0
4 years ago
The graph is
Archy [21]

Answer: increasing

and asymptote

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the volume of the rectangular prism shown?
erastova [34]

Answer:

v=whl 1 7/8 × 2 3/4 × 3 1/2 = 18 3 \64

7 0
3 years ago
Alex is building a rectangular fence around his yard. The total perimeter of the fence is 68 feet and the area of the yard is 24
pychu [463]

Perimeter (P) = 2L + 2w


68 = 2L + 2w


68 - 2L = 2w


2(34 - L) = 2(w)


34 - L = w


********************                                


Area (A) = L * w


     240 = L (34 - L)


     240 = 34L - L²


L² - 34L + 240 = 0


(L - 10)(L - 24) = 0


L = 10  or  L = 24


w = 34 - L   = 34 - 10   = 24      or      w = 34 - 24   = 10


Answer: width = 10, length = 24   assuming length is bigger than the width


6 0
3 years ago
Read 2 more answers
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