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Mashcka [7]
3 years ago
12

Find the length of HJ

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
4 0

Answer:

<h2>HJ = 17</h2>

Step-by-step explanation:

The equation:

2 + HI + 12 = 7 + 12

HI + 14 = 19             <em>subtract 14 from both sides</em>

HI = 5

HJ = HI + 12

Substitute the value of HI:

HJ = 5 + 12 = 17

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Answer: 250 mi

Step-by-step explanation:

Here we can think in a triangle rectangle:

The distance from Birmingham to Atlanta is roughly 150 mi, and this is one of the cathetus.

And the distance from Birmingham to Nashville is roughly 200 mi, this is the other cathetus of the triangle.

Now, the distance from Atlanta to Nashville will be the hypotenuse of this triangle rectangle.

Now we can apply the Pythagorean's theorem:

A^2 + B^2 = H^2

Where A and B are the cathetus, and H is the hypotenuse:

Then:

H = √(A^2 + B^2)

H = √(150^2 + 200^2) mi = √(62,500) mi = 250 mi

Then the estimated distance from Atlanta to Nashville is 250 mi

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3 years ago
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Answer:

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Step-by-step explanation:

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5 0
3 years ago
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Please answer this question, 30 points and will give brainliest!
kotykmax [81]

Answer:

∠C = 80 ° ; ∠ T = 40°.

Step-by-step explanation:

Triangle CRS is isosceles because it has two sides of equal length. (CR and CS are radii).

An isosceles triangle has also two equal angles, which means that ∠CRS= ∠CSR.

Therefore, ∠C = 80 ° (180° – 50° - 50°)  because the sum of angles in a triangle is 180 degrees.  

∠C is the central angle of the arc RS.

∠ T is the inscribed angle of the arc RS.

An inscribed angle is half of a central angle that subtends the same arc on the circle, so the inscribed angle ∠ T is half of the central angle ∠C. Since ∠C = 80 °, we can easily determine the measure of ∠ T:  

80° divided by 2 is 40°.

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The answer is the last one 7/8 x -3/4 =6
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