We are asked to find the value of x given that ∠BAD is bisected by AC and measurement of BAC is equal to 2x - 5 and measurement of CAD is equal to 145. Since they are bisected, they are equal and the solution is shown below:
m ∠ BAC = m ∠ CAD
2x - 5 = 145 , transpose -5 to the opposite side such as:
2x = 145 + 5 , perform addition of 145 and 5
2x = 150
2x / 2 = 150 / 2 , divide both sides by 2
x = 75
The answer is 75 for the x value.
9514 1404 393
Answer:
15
Step-by-step explanation:
There can be any whole number of boys from 0 to 14. That's 15 different possibilities.
Answer:
You have to divide both sides by h, in order to make b the subject :
Answer:
D) y = 4x + 2
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given ( 0, 2) ( -1 , -2 )
Given in equalities y = 4x + 2
put point (0,2) in equation y = 4x +2
2 = 4(0) +2
2 = 2
Therefore satisfies the point (0,2) equation y = 4x +2
put point (-1,-2) in equation y = 4x +2
-2 = 4(-1)+2
-2 = -2
Therefore satisfies the point (-1,-2) equation y = 4x +2
The correct answers are options:
a. They could be parallel to each other.
c. They could be perpendicular to each other
e. They could be the same line.
Explanation:
Two lines are parallel if they do no intersect each other any point. Such lines have same slopes and the cross the y axis at different points.
Two lines can intersect either at one point or they intersect at infinite number of points. Second case occurs when both equations represent the same line so we say that the two equations have infinite number of solutions as each point will satisfy both the equations.
Two line can be perpendicular if they are at right angle to each other. This means a right angle is formed at their point of intersection. The slope of such lines is negative reciprocal of each other.
Skew lines can occur only in 3D. Two lines are skew lines if they are neither parallel nor they intersect each other at any point. Such condition can not be achieved when two linear equations are graphed on the coordinate axis.
Two equations can represent the same line when one equation is obtained by multiplying the second equation by a constant number. In this case the two equations have infinite number of solutions.
