Answer:
x = 16
Step-by-step explanation:
The two marked angles are supplementary:
(7x -2) +(4x +6) = 180
11x +4 = 180
11x = 176
x = 176/11 = 16
The value of x is 16.
_____
<em>Additional comment</em>
The angle on the left is 110°; the one on the right is 70°, so that answer checks.
These marked angles are called "consecutive exterior" angles. Just as "consecutive interior" angles are supplementary, so are consecutive exterior angles.
Essentially, all of the obtuse angles are congruent, as are all of the acute angles. The obtuse angles are supplementary to the acute angles.
Answer:
-126
Step-by-step explanation:
For the binomial expression 
the coefficient of 
term is given by 
.
We have to find the coefficient of 6th term in the binomial expansion of
.
Hence n=9 and r=5
The coefficient of 6th term = 
= 
= -126
Answer:
15
x
+
10
y
Factor
5
out of
15
x
.
5
(
3
x
)
+
10
y
Factor
5
out of
10
y
.
5
(
3
x
)
+
5
(
2
y
)
Factor
5
out of
5
(
3
x
)
+
5
(
2
y
)
.
5
(
3
x
+
2
y
)
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Because if the number of girls is the same as the boys you just devide 20 by 2 and get 10
When the sides are congruent (same direction and size), and the two opposite sides are parallel, the angles are the same. In an isosceles triangle, two angles are congruent, because two sides are congruent.
