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Archy [21]
3 years ago
7

Please help me out questions on pdf

Mathematics
2 answers:
Naya [18.7K]3 years ago
6 0
Here is your answer
seropon [69]3 years ago
5 0

Question 1: x=12.5

6x+4x+2x+30=180

(One full line forming a semi circle would equal to 180 degrees all the angles given would therefore equal up to that value)

Add like terms to simplify;

12x+30=180

Use inverse operations to isolate the variable!

180-30=150

150/12=12.5

Check ur work!

6(12.5)+4(12.5)+2(12.5)+30=180

75+50+25+30=180

180=180

Question 2: Angle EAF = 25 degrees

Since x equals 12.5

and the equation given to represent the angle is 2x

2(12.5)=25

Question 3: Angle DAE= 50 degrees

x=12.5

Angle DAE=4x

4(12.5) = 50

Question 4: Angle CAD= 75 degrees

x= 12.5

Angle CAD= 6x

6(12.5) = 75

(if any are incorrect i apologize beforehand)

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2 years ago
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3 years ago
A point M on a segment with endpoints X (1, −2) and Y (10, 3) partitions the segment in a 5:1 ratio. Find M. You must show all w
insens350 [35]

The coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).

Given that the end points of line segment  are X(1,-2) and Y(10,3) and the ratio in which the line segment is being divided is 5:1.

Line segment is a collection of points which when together joined joins two points on a surface.

The coordinates of point dividing a line segment with end points (x_{1} ,y_{1} ),(x_{2} ,y_{2} ) and ratio m:ncan be calculated using the below given formula:

(X,Y)=(mx_{2} +nx_{1} /m+n,my_{2} +ny_{1} /m+n).

We have to just put the values in the above formula to get the  coordinates.

(X,Y)=(5*10+1*1/5+1,5*3-2*1/5+1)

=(50+1/6,15-2/6)

=(51/6,13/6)

=(17/2,13/6)

Hence the coordinates of point M which divides the line segment having end points (1,-2) and (10,3) in 5:1 are (17/2,13/6).

Learn more about line segment at brainly.com/question/2437195

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