Answer: C: 5
Step-by-step explanation:
Answer:
there you go bro. 168 degrees for each angle
Step-by-step explanation:
To calculate the central angle visualize a circle in the center of the polygon. A circle has 360 degrees. Divide 360 by the number of sides and that will tell you the central angle size. So 360 divided by 30 equals 18 degrees.
To find the base angle use this formula
180(n-2)/n where n is the number of sides of a regular polygon.
When you plug in 30 for n
We solve the as follows:
<span>1. Solve proportion 12/15 = 18/b
</span>( 12/15 = 18/b ) b<span>
( 12b/15 = 18 ) 15/12
b = 18(15/12)
b = 45/2
2. Solve equations
A. -x + 4 = x +6
</span>-x + 4 - x = x +6 - x
<span>-2x + 4 - 4 = 6 - 4
-2x = 2
x = -1
B. 5n + 7 =7(n+1) -2n
5n + 7 = 7n + 7 - 2n
5n -7n + 2n = 7 - 7
0 = 0
C. -4(p+2) + 8 = 2(p-1) - 7p + 15
-4p - 8 + 8 = 2p - 2 - 7p + 15
-4p + 7p - 2p = -2 + 15 + 8 - 8
p =13
3. Solve a/b x - c = 0 for x
</span>a/b x - c = 0
( a/b x = c ) b/a
x = bc / a
Answer:
The sequence is arithmetic
we know that
In an arithmetic sequence, the difference between consecutive terms is always the same and is called common difference
In this problem we have
3,9,15,21,...
Let
a1=3, a2=9,a3=15,a4=21
a4-a3=21-15=6
a3-a2=15-9=6
a2-a1=9-3=6
The sequence is arithmetic
The common difference is equal to
Answer:
m<R = m<T = 80.5 deg
Step-by-step explanation:
3)
Since WXYZ is a square, <WXZ is formed with a diagonal of the square and has measure 45 deg.
m<WXZ = 8x - 19 = 45
8x - 19 = 45
8x = 64
x = 8
4)
Draw the kite. Make sure that segments QR and RS are not congruent. Fill in the given angle measures. Angles R and T are congruent opposite angles.
The sum of the measures of the interior angles of a convex, n-sided polygon is
180(n 2).
A kite is a quadrilateral, so n = 4.
180(4 - 2) = 180(2) = 360
The sum of the measures of the interior angles of a kite is 360 deg.
m<Q + m<R + m<S + m<T = 360
75 + m<R + 124 + m<T = 360
m<R + m<T + 199 = 360
m<R + m<T = 161
m<R = m<T, so we substitute m<T with m<R.
m<R + m<R = 161
2m<R = 161
m<R = 80.5
m<R = m<T = 80.5 deg
