Answer:
D. 18
Step-by-step explanation:
The polygon given is a 5-sided polygon (pentagon). Sum of all interior angles of a 5-sided polygon = (n - 2) * 180°
= (5 - 2) * 180 = 540°
Therefore:
95° + (7x - 4)° + (3x + 23)° + (9x - 6)° + 90° = 540°
Solve for x
95 + 7x - 4 + 3x + 23 + 9x - 6 + 90 = 540
Add like terms
198 + 19x = 540
19x = 540 - 198
19x = 342
x = 342/19
x = 18
Answer: 6.4 miles/hour
Step-by-step explanation:
Speed = distance/time
19.2/3 = 6.4
Hope this helps!
Answer:
<u>The probability of each outcome rolling two numbered cubes is 1/36 or 2.8% (Rounding to the next tenth)</u>
Step-by-step explanation:
Probability of each outcome with one cube = Number of favorable events for each outcome/Total number of possible events
Replacing with the real values, we have:
Probability of each outcome with one cube = 1/6
Probability of each outcome with two cubes = 1/6 * 1/6 = 1/36
<u>The probability of each outcome rolling two numbered cubes is 1/36 or 2.8% (Rounding to the next tenth)</u>
Perimeter P=2L+2W
P=24
L=w+4
P=2(w+4)+2w
24=2w+8+2w
24=8+4w
16=4w
w=4
L=8
If the equation is passing trough the origin, it will be passing trough the point (0,0). We now for our problem that the equations is also passing trough the point (-4,3). So, our line is passing trough the points (0,0) and (-4,3). To write the equation in slope-intercept form, first, we need to find its slope

. To do that we are going to use the slope formula:

.
From our two points we can infer that

,

,

,

. Lets replace those values in the slope formula:




Now that we have our slope, we can use the slope-intercept formula:



We can conclude that the equation of the line passing trough the points (0,0) and (-4,3) is

.