Hi there!
53)
The altitude of a triangle is always perpendicular to the base, therefore:
5x° must equal 90°.
Solve for x:
5x = 90
5x / 5 = 90 / 5 ----> x = 18
KL is equal to 2x - 5, so plug the value of x into the equation:
KL = 2(18) - 5
KL = 36 - 5 ---> KL = 31
54)
A median bisects the base, therefore:
AD ≅ DC
Set both equations equal to each other:
3x = 2x + 1
Subtract 2x from both sides:
x = 1
Plug in the value of x into the equation for DC:
2(1) + 1 = 3.
DC = 3.
<h2>Answer</h2>
Slope =
x-intercept =
y-intercept = -4
<h2>Explanation </h2>
Remember that the equation of a line in general form is:
where
Notice that to express our equation, , in general form, we just need to subtract 12 from both sides of the equation:
Now can infer that , , and . So let's replace the values in our formulas:
To find the x-intercept, we just need to replace with zero in our general or original equation and solve for :
Step-by-step explanation:
To plot (1,-3), start at the origin (0,0) and move right 1 unit and down 3 units.
hope it helps.
The angle m∠DBC is mathematically given as
x=42 Option A
This is further explained below.
<h3>What is m∠DBC?</h3>
Generally, An angle is a figure produced in Euclidean geometry by two rays, which are referred to as the sides of the angle, and which have a common endpoint, which is referred to as the vertex of the angle. '
The plane that includes two rays will always contain the angles that are generated by the beams.
Another way that angles are created is when two planes cross with one another. These particular angles are referred to as dihedral angles.
In conclusion, 90-correspondence angle
x=90-48
x=42
Read more about angle
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CQ
In the figure, line AE is perpendicular to ray BC and line DF intersects line AE at point B.
Point B is on line AE between points A and E, point B is on line FD between points F and D, ray BC is perpendicular to line AE at point B, line FD intersects line AE at point B, and the measure of angle FBE is 48 degrees.
What is m∠DBC? (1 point)
42°
45°
48°
55°