Answers:
x = 6
Each angle is 45 degrees
The diagram is shown below
=========================================================
Explanation:
Vertical angles are always congruent
Set the two expressions equal to each other and solve for x.
5x+15 = 3x+27
5x-3x = 27-15
2x = 12
x = 12/2
x = 6
As a way to check the answer, replace x with 6 in each expression. We should get the same thing on both sides
5x+15 = 3x+27
5*6+15 = 3*6+27
30+15 = 18+27
45 = 45
Each angle is 45 degrees, so the answer is confirmed.
---------
The diagram is shown below. There are infinitely many ways to draw out the diagram. In the version I drew, the angles aren't vertically aligned but instead they are opposite one another in this X configuration. So the vertical angles could be vertically aligned, but they don't have to be.
In short: draw an X shape and mark any two opposite angles to form the vertical angles.
Answer:
The object will accelerate upwards.
Step-by-step explanation:
If you have two opposite forces acting on an object, the stronger one will be expressed. In this case, since 300N is upwards and 200N is downwards, 100N of upward force will be expressed.
Answer:
C
Step-by-step explanation:
4x-5+x=180. Add 5 to both sides
5x=185. Divide by 6
X=37
180-37=143
143
A line has no thickness, but it does have direction and infinite length.
A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions.
Given the variety of geometries in modern mathematics, the idea of a line is directly related to how the geometry is described. For instance, a line in the plane is frequently defined in analytic geometry as the collection of points whose coordinates satisfy a given linear equation, but in a more abstract context, such as incidence geometry, a line may be an independent object, distinct from the collection of points that lie on it.
In cartesian plane the general equation of a line is given by :
y=mx+c where the slope is denoted by m and the y-intercept by c.
To learn more about a straight line:
brainly.com/question/17188072
#SPJ9
Answer:
1- Circumference: 43.96 Area: 153.86
2- Circumference: 69.08 Area: 379.94
3- Circumference: 40.82 Area: 132.67
4- Circumference: 28.26 Area: 63.59
5- Circumference: 57.78 Area: 265.77
