Answer:
x = 27, y = 74
Step-by-step explanation:
Hi again :)
Since the angles of 5x + 4 and the one adjacent to x = 14 are corresponding angles, they are equal. That means that (5x + 4) + (x + 14) = 180 degrees.
5x + 4 + x + 14 = 180
6x + 18 = 180
6x = 162
x = 27
Also, the angle (5x + 4) and (2y - 9) are vertical angles, they are equal in value. We know the value of x now, so we'll substitute that in and solve for y.
5(27) + 4 = 2y - 9
135 + 4 = 2y - 9
139 = 2y - 9
148 = 2y
y = 74
As always, lmk if you have questions.
Step-by-step explanation:
(n-2)×180=3420
180n-360=3420
180n=3420+360
180n=3780
n=3780/180
n=21
that is, the number of sides is 21
to get the size of each exterior angle=
360/21
=17.14°
Answer:
The correct option is A. 198 degrees
Step-by-step explanation:
Consider the provided information.
87 percent of students worked at least sometime during their undergraduate career and 13 percent did not work at all.
Another question showed that 32 percent of the students worked throughout their undergraduate career.
87 percent of the students worked at least sometime during the college. Out of them 32% worked throughout the college.
Therefore, the students who worked sometime during their undergraduate career, but not throughout are:
(87-32)% = 55% .
As we know the angle measure in circle is 360 degrees.
55% of 360° is:
Hence, the measure of central angle would be 198 degrees
Therefore, the correct option is A. 198 degrees
Answer:
Line B
Step-by-step explanation:
Line B would best fit the scatter plot because the dots aline most similar to how Line B does. If you were to look at the angle Line B is at, most of the dots line up in the way Line B does. Therefore, Line B best fits the scatter plot.
U = (-2,3)
V = (3,0)
midpoint of UV
= ( (3-2)/2 , (3+0)/2 )
= ( 1/2 , 3/2)
= ( 0.5 , 1.5)
X = (0.5 , 1.5) [from fig]
midpoint of UV = X
W= (-2,-3)
V =( 3.0)
Y = ( (-2+3)/2 , (-3+0)/2 )
= (0.5 , - 1.5)
Y = ( 0.5 , -1.5) [ from fig ]
Y is the midpoint of WV
by midpoint theorem ,
UW = 2( XY )
