cheap answer is, you <u>multiply one fraction by the other's denominator</u>, so let's do that with both of these fellows.
.50(150)+30=$105
8(32)+12 = $268
There are 2 angle measurements not identified.
Angle ACB and angle ABC.
To find angle ACB you need to know that a straight line is 180 degrees, so if the angle to the right is 131, the angle to the left (Angle ACB) must be 49 degrees.
To find angle ABC, you need to know that the sum of all 3 angles in a triangle equal 180 degrees, so 180 - (49 + 44) = 87 degrees. Angle ABC is 87 degrees.
13a. The figure has 5 sides and 5 vertices.
13b. None of the sides are congruent, so the figure is not a regular polygon.
13a. The sides are the straight lines and vertices are the points.
13b. It is not regular because regular polygons have congruent sides.
Answer:
16.51
Step-by-step explanation:
In a parallelogram, the opposite angles are always equal in measure. So two of the angles in the parallelogram measure 39 degrees each.
The sum of angles of the parallelogram must be 360 degrees. Let the other two angles be x degree each. We can set up the following equation for the angles:
39 + 39 + x + x = 360
78 + 2x = 360
2x = 282
x = 141
This means, the other two angles measure 141 degree each. The shorter diagonal will be opposite to the shorter angle.
Hence, the diagonal opposite to the angle 39 degree will be the shorter one. A diagonal divides the parallelogram in two triangles. So we will have two sides and an included angle and we have to find the third side of the triangle which can be found using the law of cosines. Let the third side be c as shown in image below, using the law of cosines, we can write:
Thus the shorter diagonal will be 16.51 feet in measure.