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umka21 [38]
4 years ago
14

BRAINLIEST PLUS 50 points.

Mathematics
1 answer:
vekshin14 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Since KL = KM then the triangle is isosceles and the 2 base angles are congruent, that is

∠KLM = ∠KML, thus

y - 9 = x + 4 (add 9 from both sides )

y = x + 13 → (1)

The sum of the 3 angles in the triangle = 180°, thus

x + 4 + y - 9 + x + y + 3 = 180

2x + 2y - 2 = 180 ( add 2 to both sides )

2x + 2y = 182 → (2)

Substitute y = x + 13 into (2)

2x + 2(x + 13) = 182 ← distribute and simplify left side

2x + 2x + 26 = 182

4x  + 26 = 182 ( subtract 26 from both sides )

4x = 156 ( divide both sides by 4 )

x = 39

Substitute x = 39 into (1)

y = 39 + 13 = 52

Hence

∠K = x + y + 3 = 39 + 52 + 3 = 94°

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3 years ago
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What is a description
ValentinkaMS [17]

Answer:

Description is the pattern of narrative development that aims to make vivid a place, object, character, or group. Description is one of four rhetorical modes, along with exposition, argumentation, and narration. In practice it would be difficult to write literature that drew on just one of the four basic modes.

Step-by-step explanation:

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3 years ago
What is the equation of the oblique asymptote?<br> h(x) = x² – 3x - 4/x + 2
NNADVOKAT [17]

Simplifying h(x) gives

h(x) = (x² - 3x - 4) / (x + 2)

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h(x) = ((x + 2)² - 7x - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)

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An oblique asymptote of h(x) is a linear function p(x) = ax + b such that

\displaystyle \lim_{x\to\pm\infty} h(x) - p(x) = 0

In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.

4 0
2 years ago
For the funtion f(x)= (x+7)^5, Find f^-1 (x)
quester [9]

Answer:

The inverse of function f(x)= (x+7)^5 is \mathbf{f^{-1} (x)=\sqrt[5]{x}+7}

Option A is correct option.

Step-by-step explanation:

For the function f(x)= (x+7)^5, Find f^{-1} (x)

For finding inverse of x,

First let:

y=(x+7)^5

Now replace x with y and y with x

x=(y+7)^5

Now, solve for y

Taking 5th square root on both sides

\sqrt[5]{x}=\sqrt[5]{(y+7)^5}\\\sqrt[5]{x}=y+7\\=> y+7=\sqrt[5]{x}\\y=\sqrt[5]{x}-7

Now, replace y with f^{-1} (x)

f^{-1} (x)=\sqrt[5]{x}+7

So, the inverse of function f(x)= (x+7)^5 is \mathbf{f^{-1} (x)=\sqrt[5]{x}+7}

Option A is correct option.

6 0
3 years ago
RDY AND NDA are what?
madam [21]

Answer:

Vertical and Supplementary

Step-by-step explanation:

Vertical:

each of the pairs of opposite angles made by two intersecting lines.

Supplementary:

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8 0
3 years ago
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