Answer:
x = 12
Step-by-step explanation:
In similarity triangles angles are congruent.
∠D = ∠A
x² - 8x = 48
x² - 8x - 48 = 0
x² + 4x - 12x - 48 = 0
x(x + 4) - 12(x + 4) = 0
(x +4)(x - 12) = 0
x - 12 = 0 {Ignore x + 4 = 0, as measurements won't have negative values}
x = 12
Could you please clarify the question please by putting a question to be solved? Or are you asking for the definition?
See the attached files
<h2>Explanation:</h2>
Here we have the following inequality:

In order to graph the shaded region, we have to graph the equation of the line
whose slope is
and y-intercept
. So the graph of the line is shown in the First Figure below.
To find the shaded region we need to have a look at the symbol > that indicates that the shaded region is above the graph of the line and. Since this doesn't include the symbol =, then the line is dotted. Therefore, the resulting region is shown in the second Figure.
<h2>Learn more:</h2>
Shaded regions: brainly.com/question/9611462
#LearnWithBrainly
Note: Let us consider, we need to find the
and
.
Given:
In the given figure, BD is the angle bisector of ABC.
To find:
The
and
.
Solution:
BD is the angle bisector of ABC. So,




Divide both sides by 2.


Now,



And,





Therefore,
and
.
Answer:
a. Function 1
b. Function 2
c. Function 4
Step-by-step explanation:
✔️Function 1:
y-intercept = 4 (the point where the line cuts across the y-axis)
Slope, using the two points (0, 4) and (1, 6):

Slope = 2
✔️Function 2:
y-intercept = 1 (the value of y when x = 0)
Slope, using the two points (0, 1) and (1, -3):

Slope = -4
✔️Function 3: y = 5x - 5
y-intercept (b) = -5
Slope (m) = 5
✔️Function 4:
y-intercept = -2
Slope = -1
Thus, the following conclusions can be made:
a. The function with the greatest y-intercept is Function 1 which is 4.
4 is greater than 1, -5, and -2.
b. Only Function 2 has slope that is less than -2.
-4 is less than -2.
2, 5, -1 are all greater than -2.
c. The function's graph with the least steep is the function whose slope value is the smallest. That is the greater the absolute value of the slope, the steeper the slope, and vice versa.
Function 4 has the least steep.