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liberstina [14]
2 years ago
11

Can someone help me ASAP

Mathematics
1 answer:
il63 [147K]2 years ago
5 0
Answer: Option B

Detailed Explanation:

In the figure in Option B, we are given 2 corresponding angles as equal in both triangles. We are also given one corresponding sides as equal.
Therefore, we can prove the congruency by AAS (Angle-Angle-Side).
You might be interested in
Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x > 0)
vfiekz [6]

Answer:

Step-by-step explanation:

given a point (x_0,y_0) the equation of a line with slope m that passes through the  given point is

y-y_0 = m(x-x_0) or equivalently

y = mx+(y_0-mx_0).

Recall that a line of the form y=mx+b, the y intercept is b and the x intercept is \frac{-b}{m}.

So, in our case, the y intercept is (y_0-mx_0) and the x  intercept is \frac{mx_0-y_0}{m}.

In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph (x_0,\frac{1}{x_0}). Which means that y_0=\frac{1}{x_0}

The slope of the tangent line is given by the derivative of the function evaluated at x_0. Using the properties of derivatives, we get

y' = \frac{-1}{x^2}. So evaluated at x_0 we get m = \frac{-1}{x_0^2}

Replacing the values in our previous findings we get that the y intercept is

(y_0-mx_0) = (\frac{1}{x_0}-(\frac{-1}{x_0^2}x_0)) = \frac{2}{x_0}

The x intercept is

\frac{mx_0-y_0}{m} = \frac{\frac{-1}{x_0^2}x_0-\frac{1}{x_0}}{\frac{-1}{x_0^2}} = 2x_0

The triangle in consideration has height \frac{2}{x_0} and base 2x_0. So the area is

\frac{1}{2}\frac{2}{x_0}\cdot 2x_0=2

So regardless of the point we take on the graph, the area of the triangle is always 2.

6 0
3 years ago
If the cost of manufacturing mobile phones is $10,000 for the factorytime plus $80 per phone and that each
ozzi

Answer:

500 phones

Step-by-step explanation:

cost of manufacturing: y = 80x + 10,000

money from phone sales: y = 100x

* note: x = #phones

solve for when they're equal;

100x = 80x + 10,000

100x - 80x = 80x - 80x + 10,000

20x = 10,000      –––––––––––> divide both sides by 20

x = 500

5 0
3 years ago
I need help with this​
kogti [31]

Answer:

x, y, and z I think that is it

5 0
3 years ago
Read 2 more answers
The
algol [13]

Answer:

I'm not really sure what you're asking because there's no image.

Step-by-step explanation:

please try to reword it and maybe show a picture .

5 0
3 years ago
SOMEONE PLS HELP WILL GIVE BRAINLIEST ANSWER IF CORRECT
Viktor [21]
I don't see the picture what is it about?
7 0
3 years ago
Read 2 more answers
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