In △abc, m∠cab = 60° and point d ∈ bc so that ad = 10 in, and the distance from d to ab is 5in. prove that ad is the angle bisector of ∠a.

Given:

In △ABC, m∠CAB = 60° and point D ∈ BC so that AD = 10 in, and the distance from D to AB is 5 in.

The distance from D to AB is 5 in.

Construction:

Take point E on AB and join ED such that ED⊥AB

Proof:

Let E be the point on AB which is 5 in from point D.

DE would be perpendicular to AB because distance is always measure in perpendicular form.

Therefore, ΔAED is a right angle triangle.

where, ∠AED=90° , AD=10 and ED=5

In ΔAED, ∠AED=90°

Using trigonometry identities

Therefore, ∠EAD=30°

But ∠CAB=60°

∠BAD=∠CAB-∠EAD=60-30 = 30°

Therefore, ∠BAD=∠EAD=30°

We can say line AD is angle bisector of ∠A. Because it divided ∠A into two equal part.

Hence Proved

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.