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3 years ago

true or false any point that belongs to the angle bisector of a given angle is equident to the sides of that angle

Mathematics

1 answer:

Roman55 [17]3 years ago

4 0

Answer:

True

Step-by-step explanation:

You can show this using the HA congruence theorem for right triangles. The distance of interest is the perpendicular distance from the point to the side of the angle. The distance from the point to the vertex is the same for both triangles (reflexive property), and the vertex angles are the same (definition of angle bisector). Hence the conditions required for HA congruence are met.

The distances from the point to the sides are then corresponding parts of congruent triangles, so are congruent. That is, the distance is the same, so the point is equidistant from the sides.

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(50 points) What is the value of sin J for this triangle?

weqwewe [10]

Answer:

8/17

Step-by-step explanation:

right angle box means that area is the bottom

soh cah toa

hypotenuse is 17

hypotenuse is usually the biggest number

opposite is 8

sin is opposite/ hypotenuse

sin is 8/17

6 0

3 years ago

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Alex

Answer:

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Step-by-step explanation:

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3 years ago

Suppose the function D(p)=1500-25p represents the demand for hot dogs, whose price is p, at a baseball game. Find the domain of

TiliK225 [7]

The function is given by

$\\ \tt\hookrightarrow D(p)=1500-25p$

Price must be greater than 0

$\\ \tt\hookrightarrow 1500-25p\geqslant 0$

$\\ \tt\hookrightarrow 1500\geqslant 25p$

$\\ \tt\hookrightarrow p\leqslant 60$

Now

$\\ \tt\hookrightarrow D_f\in (-\infty,60]$

3 0

3 years ago

Find the value of x. Leave your answer in simplest radical form. The chord measures 14, the diameter measures 18. Hint: use pyth

ehidna [41]

Answer:

x = 4√2

Step-by-step explanation:

Find the value of x. Leave your answer in simplest radical form. The chord measures 14, the diameter measures 18. Hint: use pythagorean theorem

To solve, we will follow the steps below:

using Pythagoras theorem

opposite² + adjacent² = hypotenuse²

14² + y² = 18²

196 + y² = 324

subtract 196 from both-side of the equation

196 -196 + y² = 324-196

y² =128

Take the square root of both-side

√y² = √128

y =√128

y = √64×2

y =√64×√2

y = 8√2

x = half of y

x = y/2

x = 8√2 ÷ 2

x = 4√2

8 0

3 years ago

ABM Services paid a $4.15 annual dividend on a day it closed at a price of $54 per share. What

n200080 [17]

Answer:

the yield is 7.68%

Step-by-step explanation:

The calculation of the yield is given below:

we know that

Yield is

= Annual dividend ÷ Price per share

= $4.15 ÷ $54

= 7.68%

Here we divide the annual dividend by the price per share in order to determine the yield

hence, the yield is 7.68%

And, the same would be considered

6 0

3 years ago