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timofeeve [1]
2 years ago
8

Find the missing angle measure in each triangle as acute, right or obtuse

Mathematics
2 answers:
bulgar [2K]2 years ago
7 0

Answer:

6. x = 53°

7. x = 120°

Step-by-step explanation:

I use the angle ABC method

6. angle ACB + angle BAC = 90°

37° + x = 90°

Substitute angle BAC = x. angle ACB = 37°

into angle ACB + angle BAC = 90°

x = 53°

7. angle ABC + ACB + BAC = 180°

x + 37° + 23° = 180°

Substitute angle ABC = x, angle BAC = 23°,

angle ACB = 37° into

angle ABC + angle ACB + angle BAC = 180°

x = 120°

8. 12.5 × 25 = 312.5 feet

Lena [83]2 years ago
6 0

Answer:

6. x=53 obtuse
7. x=120 obtuse

Step-by-step explanation:

To find x, you need to add up the angle measures you already have and subtract that sum from 180.

For example, on number 6 you have 37 and a right angle (that little box in the corner). That counts as 90, so its 90+37=127. Then, you subtract 180-127=53. That is how you get your answer.

Hope this helps <3

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f of x equals 4 x over quantity x squared minus 16. Show all work to identify the asymptotes and zero of the function.
yuradex [85]

Given:

The function is

f(x)=\dfrac{4x}{x^2-16}

To find:

The asymptotes and zero of the function.

Solution:

We have,

f(x)=\dfrac{4x}{x^2-16}

For zeroes, f(x)=0.

\dfrac{4x}{x^2-16}=0

4x=0

x=0

Therefore, zero of the function is 0.

For vertical asymptote equate the denominator of the function equal to 0.

x^2-16=0

x^2=16

Taking square root on both sides, we get

x=\pm \sqrt{16}

x=\pm 4

So, vertical asymptotes are x=-4 and x=4.

Since degree of denominator is greater than degree of numerator, therefore, the horizontal asymptote is y=0.

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3 years ago
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dolphi86 [110]
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7 0
3 years ago
A pair of Descartes jeans costs $120. If the tax is 13%, how much does the pair of jeans cost including tax?
ivanzaharov [21]

Answer:

$135.60

Step-by-step explanation:

120*13%=15.6

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5 0
3 years ago
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What's the lateral area of a right circular cone if the diameter of the base is 4 m and the slant height of the cone is 15m? Rou
Mekhanik [1.2K]
The formula for the lateral surface area of a right circular cone is:
\pi rl
where r is the radius of the base, and l is the slant height.
Plugging in the values we get:
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5 0
3 years ago
Why is ac smaller than ad if they both look very close
kakasveta [241]

Let's begin by listing out the information given to us:

We start out by observing that Triangles MKR & ACD are similar or proportional

\begin{gathered} MK=21;AC=\text{?} \\ MR=24;AD=28\frac{4}{5} \\ KR=CD=\text{?} \end{gathered}

We will solve for the missing side by using the similar triangle theorem. This is shown below:~

\begin{gathered} \Delta MKR\approx\Delta ACD \\ \frac{MK}{AC}=\frac{MR}{AD} \\ \frac{21}{AC}=\frac{24}{28\frac{4}{5}} \\ \text{Cross multiply, we have:} \\ 24\cdot AC=28\frac{4}{5}\cdot21 \\ AC=\frac{28\frac{4}{5}\cdot21}{24}=25\frac{1}{5} \\ AC=25\frac{1}{5} \end{gathered}

8 0
1 year ago
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