Answer:
x:
5x - 29 = 3x+ 19
2x = 48
x = 24°
Angle 1:
180 - (3x+7) = 180 - 79 = 101°
Angle 2:
3x + 7 = 79°
Angle 3:
Same as Angle 1 = 101°
Angle 4:
Same as Angle 1 = 101°
Angle 5:
Same as Angle 2 = 79°
Angle 6:
Same as Angle 5 = 79°
Angle 7:
180 - (5x - 29) = 180 - 91 = 89°
Angle 8:
Same as Angle 7 = 89°
Angles 2 and 3 are Supplementary angles
Answer:
36,686
Step-by-step explanation:
5.88 x 12 over 10 = 240
240 x 26 = 36,686
Answer:
158 m²
Step-by-step explanation:
I made this into 3 rectangles.
Figure 1:
9•8=72
The 9 is from the 13 m side, but I've taken 4 m off from the overlapping square.
Figure 2:
6•7=42
The 7 is from the 10 m side, but I've taken 4m off from the overlapping square again.
Remaining Area:
If you extend the lines into figures 1 and 2 from the top left corner and bottom right corner vertically, you will get a rectangle that is (11 m) x (4 m). This is not yet accounted for.
11•4=44
Add together: 72 + 42 + 44 = <u>158</u>
*Note: You could also find the area of the squares a much easier way by subtracting the overlapping part after finding the area of both figures , but this is how I did it*
Answer:
12
Step-by-step explanation:
Absolute value means take the positive value of
3 |-4|
3 * 4
12
Answer:
A. 
Step-by-step explanation:
A rational-polynomic function is a function of the form:
(1)
There are three important remarks on this kind of function:
1)
when function passes through the x-axis.
2) If
, then the function
has a vertical asymptote.
3) The horizontal asymptote is a linear function of the form
.
In accordance with the graph, the function has two vertical asymptotes at
and
, numerator becomes zero for
and horizontal asymptote is
as grade of numerator is less than grade of denominator.
Hence, we conclude that rational function is
<em>. </em>(Correct answer: A)