All categories

3 years ago

If RH = 10 units, HT = 16 units, and GH = 8 units, what is the length of line segment HJ?

Mathematics

2 answers:

Dominik [7]3 years ago

7 0

Answer:

$HJ=20\ units$

Step-by-step explanation:

<u><em>The complete question is</em></u>

RT and GJ are chords that intersect at point H. If RH = 10 units, HT = 16 units, and GH = 8 units, what is the length of line segment HJ? 18 units 20 units 26 units 28 units

we know that

The <u><em>intersecting chords theorem</em></u> is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal

In this problem

$(RH)(HT)=(GH)(HJ)$

substitute the given values

$(10)(16)=(8)(HJ)$

solve for HJ

$HJ=160/8\\HJ=20\ units$

Degger [83]3 years ago

6 0

Answer:

20 units

Step-by-step explanation:

You might be interested in

Solve for X!! I’ll give BRAINLIEST

kherson [118]

Answer:

If i'm not mistaken the answer is X= 1

Step-by-step explanation:

hope this helps

7 0

3 years ago

Flying with the wind a plane went 198 mph. Flying into the same wind the plane only went 162 mph. Find the speed of the plane in

olganol [36]

Answer: speed of plane in still air is 180 miles per hour

speed of the wind is 18 miles per hour

Step-by-step explanation:

Flying with the wind, the plane went 198 miles per hour. This means if was flying in the same direction with the wind. This is same as the speed in still air because there was no opposition from the wind.

Flying into the same wind the plane only went 162 mph. This means that the plane flew against the wind

Let x = the speed of the plane

Let y = the speed of the wind

when flying with the wind,

x + y = 198 - - - - - - -1

When flying against the wind,

x - y = 162 - - - - - - - -2

Subtracting equation 2 from equation 1,

y - - y = 198 - 162

2y = 36

y = 36/2 = 18 miles per hour

x = 198 - y = 198 -18

x = 180 miles per hour

4 0

3 years ago

if Angela's house is assessed valuation of $61,200 and the tax rate per 100 is $3.78 what will she pay in annual real estate tax

poizon [28]

Answer:

$\boxed{\text{\$2313.40}}$

Step-by-step explanation:

The tax rate is $3.78/$100 assessed

$\text{Tax} = \text{\$61 200 assessed} \times \dfrac{\text{\$3.78}}{\text{\$100 assessed}}$

Cancel the $100 assessed.

612 × $3.78 = $2313.40

Angela's real estate tax will be $\boxed{ \textbf{\$2313.40}}$

3 0

3 years ago

The number 4.077 Rounded to the nearest hundredth is what

Svetllana [295]

Answer:

<h3>40.77 is ur answer </h3>

Step-by-step explanation:

<h3>plz mark as brainliast</h3>

4 0

3 years ago

In the figure below, CD bisects

AlladinOne [14]

It’s C’ D’ hope this helps

7 0

4 years ago