Answer: 5/4
Step-by-step explanation:
Answer:
<h2>x = -3</h2>
Step-by-step explanation:
Answer:
QR=8
QU=76
Measure of arc ST=114°
Measure of arc QR=114°
Measure of arc XT=57°
Step-by-step explanation:
Given
YU=YV
ST=16
mQS=34
mRT=98
Using Pythagoras theorem,
QR=8
QU=76
QR=ST
So they both span the same arc.
Let the arc=x
360 - QS - RT = QR + ST
Recall QR=ST
360 - 34 - 98 = x + x
228 = 2x
X=228/2
X=114°
Therefore, measure of arc ST and arc QR=114° each
Measure of the span of arc XT = (1/2) of (arc ST)
= (1/2)(114°)
= 57°
Given parameters:
Number of sides of the regular body = 10
A decagon has 10 sides.
Unknown:
Sum of the measures of the interior angles = ?
Solution;
To find the sum of the interior angles of a decagon; use the expression below:
Sum of interior angles = (n - 2) x 180
where;
n = number of sides;
So,
Sum of interior angles = (10 - 2) x 180 = 1440°
The sum of interior angle of a decagon is 1440°
