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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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Complete the sentences below based on the graph of the function. Please help!

Gnom [1K]

Answer:

20 km
20 km/h
5 km/h

Step-by-step explanation:

We assume the graph is a plot of Sean's distance from home as he drives to work, works 8 hours, then drives home with a 2-hour stop along the way. It also appears that t is measured in hours after midnight.

The graph shows Sean's distance from home between 9 a.m. and 5 p.m. (t=17) is 20 km. Based on our assumptions, ...

Sean's workplace is located 20 km from his home.

Speed is the change in distance divided by the change in time. Between 8 a.m. and 9 a.m. Sean's position changes by 20 km. His speed is then ...

(20 km)/(1 h) = 20 km/h

Sean's speed driving to work was 20 km/h.

Between 5 p.m. (t=17) and 7 p.m. (t=19), Sean's position changes from 20 km to 10 km from home. That change took 2 hours, so his speed was ...

(10 km)/(2 h) = 5 km/h

Sean's speed between 5 p.m. and 7 p.m. was 5 km/h.

_____

Additional comment

The units of speed (kilometers per hour) tell you it is computed by dividing kilometers by hours. ("Per" in this context means "divided by".)

While the slope of the line on the graph between 5 p.m. and 7 p.m. is negative, the speed is positive. The negative sign means Sean's speed is not away from home, but is toward home. When the direction (toward, away) is included, the result is a vector called "velocity." Speed is just the magnitude of the velocity vector. It ignores direction.

7 0

2 years ago

Find the value: 4+3x2-2²=

UNO [17]

Answer: 6

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Which ratios are less than 8 to 10? Check all that apply. 6/20 3:5 50/100 13:15

poizon [28]

9514 1404 393

Answer:

6/20, 3:5, 50/100 are all less than 8/10

Step-by-step explanation:

It can help to give all the ratios a common denominator. (We'll use 100, and fudge the last one a bit.)

8/10 = 80/100 . . . . our reference value

6/20 = 30/100 . . . less than 8/10

3/5 = 60/100 . . . . less than 8/10

50/100 . . . . . . . . . less than 8/10

13/15 ≈ 86.7/100 . . . more than 8/10

6 0

3 years ago

I need to solve for y

valentina_108 [34]

Y=-2x+10 !!!!!!!!!!!!!!!

8 0

3 years ago

Read 2 more answers

05 What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in

Pachacha [2.7K]

Well the domain represents all the x values while range represents all the y values but i dont see a diagram so its would be diffcult a good example would be a parabola of a function like find domain of 1/x+2 to get domain set denominator eqaul to 0 since thats when a fraction is underfined when u do u get x cannot equal -2 thats the domain

6 0

3 years ago