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Ludmilka [50]
2 years ago
8

Find m∠H. Put the answer below. m∠H =

Mathematics
1 answer:
Pavlova-9 [17]2 years ago
6 0

Answer:

30°

Step-by-step explanation:

\tan (m\angle H) = \frac{IJ}{JH} \\  \\  \implies \: \tan (m\angle H) = \frac{  \sqrt{10}  }{ \sqrt{30} } \\  \\\implies \: \tan (m\angle H) = \frac{{1}  }{ \sqrt{3} }  \\  \\ \implies \: \tan (m\angle H) =  \tan 30 \degree \\  \\  \implies \: m\angle H =  \boxed{30} \degree

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The center of a circle lies on the line y = 4x + 1 and is tangent to the x-axis at (−3,0) . What is the equation of the circle i
Hunter-Best [27]

Answer:

(x+3)^2+(y+11)^2=121

Step-by-step explanation:

Consider a sketch of the problem as shown in the picture, where:

  • Blue line is given by y = 4x + 1.
  • Point B is the center of the circle.
  • Point A is (-3, 0).

Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.

So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.

Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by

(x-h)^2+(y-k)^2=r^2

then with h = -3, k = -11 and r= 11, the equation of our circle is

(x+3)^2+(y+11)^2=121

5 0
3 years ago
Charlie makes 9 dollars for each week of work. Write an equation to represent his total pay p after working h hours
sertanlavr [38]

Answer:

p = 9h

Step-by-step explanation:

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3 0
3 years ago
triangle ABC was rotated 90 degrees clockwise. Then it underwent a dialtion centered at the origin with a scale factor of 4 what
scoray [572]

Answer: The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

Step-by-step explanation:

Given : Triangle ABC was rotated 90 degrees clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4.

A rotation is a rigid transformation that creates congruent images but dilation is not a rigid transformation, it creates similar images but not congruent.

Also, the corresponding angles of similar triangles are congruent.

Therefore, The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

4 0
3 years ago
What is the area for this triangle
Llana [10]

Answer:

56

Step-by-step explanation:

I'm not 100% sure, use my answer at your own risk

4 0
3 years ago
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The triangles shown below must be congruent.
Ber [7]

Answer:

False

Step-by-step explanation:

The triangles are similar because the angles are the same

We know nothing about the side lengths, so we can say nothing about concurrency.  They may or may not be congruent.  

4 0
3 years ago
Read 2 more answers
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