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user100 [1]
3 years ago
11

Line ef is tangent to circle g at point h. segment gh is a radius of circle g. what can be concluded about triangle fhg?

Mathematics
2 answers:
VMariaS [17]3 years ago
8 0

Answer:

Right triangle

Step-by-step explanation:

It is given that the line ef is tangent to the circle g at the point h and the segment gh is the radius of the circle g.

Now, A line tangent to a circle is perpendicular to the radius to the point of tangency, thus making a right angle at the point h with the segment gh.

Therefore, the triangle FHG is a right triangle.

solong [7]3 years ago
3 0
We know that

A line tangent to a circle is perpendicular to the radius to the point of tangency.
so
<span>Line ef is </span>perpendicular to the segment gh

hence
Triangle FHG is a right triangle
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Travka [436]

Answer:

y=2x+1

Step-by-step explanation:

First you have to find the slope:

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Then you write it in point-slope: (I used the point (0,1))

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8 0
4 years ago
Solve the inequality for u.<br> .<br> Simplify your answer as much as possible.
Jet001 [13]

Answer:

u ≤ 4

Step-by-step explanation:

The given inequality

15 ≤ 39 - 6u

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3 0
4 years ago
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Find the value of $B - A$ if the graph of $Ax + By = 3$ passes through the point $(-7,2),$ and is parallel to the graph of $x +
Salsk061 [2.6K]

Answer:

-6

Step-by-step explanation:

We know that since Ax + By = 3 passes through (-7, 2), then if we plug -7 in for x and 2 in for y, the equation is satisfied. So, let's do that:

Ax + By = 3

A * (-7) + B * 2 = 3

-7A + 2B = 3

We also know that this line is parallel to x + 3y = -5, which means their slopes are the same. Let's solve for y in the second equation:

x + 3y = -5

3y = -x - 5

y = (-1/3)x - (5/3)

So, the slope of this line is -1/3, which means the slope of Ax + By = 3 is also -1/3. Let's solve for y in the first equation:

Ax + By = 3

By = -Ax + 3

y = (-A/B)x + 3/B

This means that -A/B = -1/3. So, we have a relationship between A and B:

-A/B = -1/3

A/B = 1/3

B = 3A

Plug 3A in for B into the equation we had where -7A + 2B = 3:

-7A + 2B = 3

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-A = 3

A = -3

Use this to solve for B:

B = 3A

B = 3 * (-3) = -9

So, B = -9 and A = -3. Then B - A is:

B - A = -9 - (-3) = -9 + 3 = -6

The answer is -6.

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FromTheMoon [43]
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