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BigorU [14]
3 years ago
8

What is the measure of Arc ABC

Mathematics
2 answers:
shusha [124]3 years ago
5 0
The Arc measures 295°.
svp [43]3 years ago
4 0
Arc ADC measures 295°
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What is the ratio in which the point P(3/4,5/12) decides the line segment joining points A(1/2,3/2) and B(2,-5)
timama [110]

Given:

The point P\left(\dfrac{3}{4},\dfrac{5}{12}\right) divides the line segment joining points A\left(\dfrac{1}{2},\dfrac{3}{2}\right) and B(2,-5).

To find:

The ratio in which he point P divides the segment AB.

Solution:

Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Let point P divides the segment AB in m:n. Then by using the section formula, we get

\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{m(2)+n(\dfrac{1}{2})}{m+n},\dfrac{m(-5)+n(\dfrac{3}{2})}{m+n}\right)

\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{2m+\dfrac{n}{2}}{m+n},\dfrac{-5m+\dfrac{3n}{2}}{m+n}\right)

On comparing both sides, we get

\dfrac{3}{4}=\dfrac{2m+\dfrac{n}{2}}{m+n}

\dfrac{3}{4}(m+n)=\dfrac{4m+n}{2}

Multiply both sides by 4.

3(m+n)=2(4m+n)

3m+3n=8m+2n

3n-2n=8m-3m

n=5m

It can be written as

\dfrac{1}{5}=\dfrac{m}{n}

1:5=m:n

Therefore, the point P divides the line segment AB in 1:5.

6 0
3 years ago
PLEASE HELP!!
AlladinOne [14]
X = (44-12)/5 i think??
6 0
3 years ago
Find the sum of the first 25 multiples of 10.<br>​
poizon [28]

Answer:

Step-by-step explanation: So the first 25 multiples of 10 are ,

10,10,10,10 ect, to 25 the sum of all of the numbers is 250 i hope this helped!!!

3 0
3 years ago
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QUICK FOR 10 POINTS
Shtirlitz [24]

Answer:

8 pencils

Step-by-step explanation:

We can reverse everything that is happening in the problem like this!...

Jeremiah has 20 - 4 pencils = 16 than 2 reverse operation of multiplication which will be division then 16 ÷ 2 = 8

Check work? 8 more than 2 times equals 16 + 4 more that Jeremiah has equals 20 pencils

8 0
3 years ago
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A construction worker needs to put a rectangular window in the side of a
Alika [10]

Answer:

I think its B

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