All categories

3 years ago

Use a definition, postulate, or theorem to find the value of x in the figure described.

Mathematics

1 answer:

Rudiy273 years ago

6 0

we know that

An angle bisector is a line or ray that divides an angle into two congruent angles

in this problem

m∠RST=m∠RSV+m∠VST

m∠RSV=m∠VST

hence

m∠RST=2*m∠RSV --------> equation 1

we have

m∠RST=(6x-24)

m∠RSV=(2x+8)

Substitute in the equation 1

6x-24=2*(2x+8)

6x-24=4x+16

6x-4x=16+24

2x=40

x=40/2

x=20 degrees

therefore

the answer is the option

D definition of angle bisector

and the value of x is 20 degrees

You might be interested in

Round 72.807 to the nearest tenth. 72.81 70 72.9 72.8

Alex17521 [72]

This is 2nd grade work lol

4 0

3 years ago

Read 2 more answers

You and your friend leave your houses at the same time to meet at a restaurant. The distance (in miles) your friend is from the

salantis [7]

Answer:

Thus, the linear equation to represents your distance from the restaurant is given as:

$y=-60x+90$

Step-by-step explanation:

Given:

The distance (in miles) your friend is from the restaurant is given by:

$y=-50x+75$

where $x$ represents the number of hours since your friend left home.

You live 90 miles from the restaurant and arrive at the same time as your friend.

To write a linear equation that represents your distance from the restaurant.

Solution:

From the given linear equation for your friend, we can say that the distance between your friend keeps decreasing as he approaches near the restaurant. The distance will be = 0 when your friend reaches the restaurant.

Thus, we can plugin y=0 to find $x$ i.e.the time in hours taken by your frient to reach the restaurant.

$0=-50x+75$

Adding $50x$ both sides.

$0+50x=-50x+50x+75$

$50x=75$

Dividing both sides by 50.

$\frac{50x}{50}=\frac{75}{50}$

$x=1.5\ hours$

Your friend takes 1.5 hours to reach the restaurant

It is given that you and your friend start at same time and reach the restaurant at the same time. And you are 90 miles from the restaurant initially.

The linear function representing your distance from the restaurant can be given as:

$y=-mx+90$