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3 years ago

classify the pair of angles. (supplementary, adjacent, vertical, or complementary) then find the value of x.

Mathematics

1 answer:

earnstyle [38]3 years ago

8 0

Answer:

Supplementary angles; 148°

Step-by-step explanation:

180° - 32° = 148° (supplementary angles)

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One more time!

CaHeK987 [17]

Since q(x) is inside p(x), find the x-value that results in q(x) = 1/4

$\frac{1}{4} = 5 - x^2\ \Rightarrow\ x^2 = 5 - \frac{1}{4}\ \Rightarrow\ x^2 = \frac{19}{4}\ \Rightarrow \\
x = \frac{\sqrt{19} }{2}$

so we conclude that
$q(\frac{\sqrt{19} }{2} ) = 1/4$

therefore

$p(1/4) = p\left( q\left(\frac{ \sqrt{19} }{2} \right) \right)$

plug $x=\sqrt{19}/2$ into p( q(x) ) to get answer

$p(1/4) = p\left( q\left( \frac{ \sqrt{19} }{2} \right) \right)\ \Rightarrow\ \dfrac{4 - \left( \frac{\sqrt{19} }{2}\right)^2 }{ \left( \frac{\sqrt{19} }{2}\right)^3 } \Rightarrow \\ \\ \dfrac{4 - \frac{19}{4} }{ \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{8\left(4 - \frac{19}{4}\right) }{ 8 \cdot \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{32 - 38}{19\sqrt{19}} \Rightarrow \dfrac{-6}{19\sqrt{19}} \cdot \frac{\sqrt{19}}{\sqrt{19}}\Rightarrow$

$\dfrac{-6\sqrt{19} }{19 \cdot 19} \\ \\ \Rightarrow -\dfrac{6\sqrt{19} }{361}$

$p(1/4) = -\dfrac{6\sqrt{19} }{361}$

3 0

3 years ago

Can the sides of a triangle have lengths 3, 16, and 19?

Eduardwww [97]

The answer is no. The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third.

8 0

3 years ago

Read 2 more answers

Shen took out a loan for 7600 that charges an annual interest rate of 8.2%, compounded monthly. Answer each part

velikii [3]

Step 1

Given;

$\begin{gathered} P=7600 \\ r=\frac{8.2}{100}=0.082 \\ t=1 \end{gathered}$

Step 2

A) she will owe

$\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ A=7600(1+\frac{0.082}{12})^{12\times1} \\ A=\text{ \$}8247.16 \end{gathered}$

B) The effective annual rate is given as;

$\begin{gathered} R=(1+\frac{i}{n})^n-1 \\ R=[(1+\frac{0.082}{12})^{12}-1]\times100 \\ R=0.08515\times100=8.515\text{\%} \\ R\approx8.52\text{\%} \end{gathered}$

5 0

1 year ago

Write 2y - 4x = -18 in slope-intercept form.*<br> Your answer

Gnoma [55]

Answer:

y = 2x - 9.

Step-by-step explanation:

2y - 4x = -18

Add 4x to both sides:

2y = 4x - 18

Divide both sides by 2:

y = 2x - 9.

7 0

3 years ago

Read 2 more answers

4,4,5,7,10,14 whats next

OleMash [197]

The next number would be 19.

Each number adds one more each time.

For example, 4+0=4, 4+1=5, 5+2=7, 7+3=10, 10+4=14, 14+5=19
Hopefully this makes sense, its kind of hard to explain.

Hope this helps :)

5 0

3 years ago