Answer:
130 degrees
Step-by-step explanation:
let the angle be x
2x+45+55=360(Sum of angles in quad)
2x=260
x=130
The point-slope equation of the line is 
Step-by-step explanation:
The form of the point-slope equation is 
, where
- m is the lope of the line
is a point lies on the line
The slope of a line 
, where
and 
are two points on the line
∵ The line through (2 , 3) and (7 , 4)
∴ 
= 2 and 
= 7
∴ 
= 3 and 
= 4
- Substitute these value in the rule of the slope
∵ 
∴ the slope of the line is 
Let us substitute the value of the slope and the coordinates of point in the form of the equation
∵
∵ = 2 and = 3
∵
∴
The point-slope equation of the line is
Learn more:
You can learn more about the linear equation in brainly.com/question/12941985
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angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.
What in mathematics is a parallelogram?
- A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal).
- A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.
Slope Formula: y2-y1/x2-x1
KL: 12-7/6-2 = 5/4
LM; 13-12/13-6 = 1/7
MN: 8-13/9-13 = 5/4
KN: 7-8/9-2 = 1/7
Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.
Learn more about parallelogram
brainly.com/question/19187448
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We need to write the following expression and solve for x:
9/18 = 100/x
So: 9x = 1800
x = 200
So it would take him 200 minutes to deliver 100 papers.
We do the same for 72 papers
9/18 = 72/x
so 9x = 1296
and x = 144
It would take him 144 minutes to deliver 72 papers.
Step-by-step explanation:
3x-2x=5+10 [taking variables on one side and constant on other]
x=15
soln:
3x-5= 2x+10
3x -5+5=2x+10+5 [ adding 5 on both side]
3x=2x+15
3x-2x=2x+15-2x [subtracting 2x on both side]
x=15
Ans=15
