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Leona [35]
2 years ago
14

Find the distance d(A,B) between points A and B.

Mathematics
1 answer:
Misha Larkins [42]2 years ago
7 0

Answer:

A(4,-5) ; B(4,3)

distance d(A,B) = \sqrt{( 4 - 4)^{2} + (3 -(-5))^{2} } = 8

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In triangle ABC, line A.B.=CB Angle ABC equals 4X -3, and angle CAB equals X -3, what is angle ACB
Soloha48 [4]

Answer:

∠ACB = 28.5

Step-by-step explanation:

In triangle ABC,

angle CAB = x-3

angle ABC = 4X-3

It is also given that AB=CB

We know that if two sides of any triangle are equal then corresponding sides must also be equal.

Hence

angle ACB = angle CAB

angle ACB = x-3    {Given that angle CAB = x-3 }

We know that sum of all three angles of a triangle is 180 degree so let's add given angles

angle ACB + angle CAB + angle ABC = 180

(x-3) + (x-3) + (4x-3) = 180

x-3 + x-3 + 4x-3 = 180

6x-9 = 180

6x = 180+9

6x = 189

x = 189/9

x= 31.5

Now plug value of x into

angle ACB = x-3 = 31.5-3 = 28.5

Hence final answer is

∠ACB = 28.5


3 0
3 years ago
The chapter is 8pages long. kosta read 1/4 of the chapter aloud.then christina read three pages to the class. How many pages hav
pshichka [43]
Number of pages that the chapter has = 8
Number of pages of the chapter that Kosta read = (1/4) * 8
                                                                               = 1 * 2
                                                                               = 2
The number of pages of the chapter read by Christina = 3
Then
The total number of pages of the
chapter read by both of them = 2 + 3
                                                = 5
 So the total number of pages of the chapter that has been read by Kosta and Christina is 5. I hope the procedure is clear enough for you to understand.
8 0
3 years ago
The speed limit is 50 miles per hour. Kyle is driving to a baseball game that starts in 2 hours. Kyle is 130 miles away from the
Marizza181 [45]

Answer: No. Kyle will arrive late

Step-by-step explanation:

The only speed limit is 50 miles per hour.

Kyle must cover 130 miles.

His travel time = 130/50 = 2.6

2 hours + (0.6 of 60 minutes )

2 hours + (36 minutes)

i.e kyle needs 2hours 36 minutes to cover 130 miles

And since the baseball starts in 2 hours, kyle will be late. Thus, the answer is No

8 0
3 years ago
What is the explicit rule for the pattern 16,11,6,1...
svlad2 [7]

Answer:

the explicit rule is the difference, which is -5.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What property is illustrated by the fact that 95(27+44)=95.27.+95.44}=?
Oduvanchick [21]
Identity property of addition
4 0
3 years ago
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