Answer:
angle 1=94 degree
Step-by-step explanation:
-x + 106=5x + 34 (they are alternate interior angles)
106-34=5x+x
72=6x
72/6=x
12=x
substitute the value of x in 5x + 34
5*12 + 34
60+34
94
Now,
angle 1 =5x +134 ( they are vertically opposite angles)
angle 1=94 degree
Answer:
Perimeter= 44.2 inches
Area= 70 inches squared
Step-by-step explanation:
Perimeter- Add all your sides together (10+ 17.2+2+3+7+5=44.2)
Area- 1/2bh (b=base, h=height)
Your base is the bottom of the triangle, so 2+7+5=14.
14 is your base
Your height is the 10
1/2 *14*10
1/2 of 14 is 7
7*10= 70
Don't forget to write inches squared or it will be wrong
Hope this helps :)
If x is the number of sides of the regular polygon, then the sum of the interior angles is (x - 2) * 180 = 56 * 90. Solving for x gives 30 for the number of sides of the regular polygon.
To get the central angles measure, divide 360 by 30 to get 12 degrees for the measure of one of the 30 central angles.
Answer: 12 degrees
The parameter of a rectangle can be alculated using the following rule:
parameter = 2(length + width)
from the givens:
length = 13 inches
width = 10 inches
so, just substitute with the givens in the equation to calculate the parameter:
parameter = 2(10+13) = 2*23 = 46 inches