Answer:
A
Step-by-step explanation:
The figure has two disjoint pairs of consecutive sides which are congruent.
Thus the figure is a Kite
Using the properties of a Kite
• The diagonals are perpendicular
• The main diagonal diagonal bisects the pair of opposite angles
Hence ∠1 = 90° ( diagonals are perpendicular )
The angle 22° is a bisected angle so the angle below is also 22°
The sum of the 3 angles in a triangle = 180°, hence
∠2 = 180° - (90 + 22)° = 180° - 112° = 68°
The solution is A
Answer:
Answer D: 8.7 cm
Step-by-step explanation:
First compare the actual diameters of both cables to find out which one is larger. If we write both diameters in fraction form (as they are given), we need to have them expressed with the same denominator for a straight forward comparison:
Bundle A: 
Bundle B: 
So we multiply this last fraction by 2 in numerator and denominator to obtain the same denominator as for Bundle A without actually changing its numerical value: 
So now we compare Bundle A with bundle B, and see that bundle B has the larger diameter: 22/8 inches
The hole has to be 25% larger than this larger diameter, so we estimate 25% of 22/8 in is:
inches
Therefore, the hole must be of diameter 22/8 in plus 0.6875 in = 3.4375 in
Now we convert this value into centimeters by multiplying it by 2.54 (since one inch is 2.54 cm):
3.4375 * 2.54 = 8.73125 cm
which rounded to the nearest tenth as requested in the problem is: 8.7 cm
Answer:
c = 50
Step-by-step explanation:
Use the Pythagorean Theorem:




