First, prime factor all of the numbers. Then, collect the factors which appear in all three lists:
28 = 2 x 2 x 7
48 = 2 x 2 x 2 x 2 x 3
64 = 2 x 2 x 2 x 2 x 2 x 2
The only factor which appears in all lists is 2. It appears twice in the first number, so the greatest common factor in the group is 2 x 2 = 4
Please click 'thanks' for the answer :-)
<h3>Given</h3>
- ∠AOB = ∠COD = x² -2
- ∠BOC = 2x -10
- ∠AOD = ∠AOB + ∠BOC + ∠COD = 16x +2
<h3>Find</h3>
- x
- the measures of the angles
<h3>Solution</h3>
Substituting the given values of the angles into the given relaion, we get ...
... (x² -2) + (2x -10) + (x² -2) = 16x +2
... 2x^2 -14x -16 = 0 . . . . . subtract the right side (16x+2)
... 2(x +1)(x -8) = 0 . . . . . . .factor
Values of x that satisfy this equation are ...
... x = -1, x = 8
The value x = -1 does not give rise to positive angle values.
For x = 8, the angles are ...
... ∠AOB = ∠COD = 8²-2 = 62
... ∠BOC = 2·8 -10 = 6
... ∠AOD = 16·8 +2 = 130 . . . . = 62 +6 +62
The answer to the question not asked is ...
... x = 8; ∠AOB = ∠COD = 62; ∠BOC = 6; ∠AOD = 130
Answer: 8) 42°, 65°, 115° 9) 1.5, 2
Step-by-step explanation:
8) Right off the bat I know that the measure adjacent to 157° is
23°. With both numbers inside the triangle combined, we get
65° meaning the last number is 115 because that'll add up to 180°
9) Considering the smaller triangle has half the length of the bigger triangle
The length of the rest are half the size too.
EF = 1.5
DF = 2
Answer: B,D,E
Step-by-step explanation:
Everyone that is multiplying 1243 by 8
If you have the diameter and you want to find the radius, just remember that the diameter is <u>half</u> of a circle (circumference) and the radius is a <u>quarter</u> of a circle, and it can also be found by dividing the diameter by 2, because the radius is half of a diameter.
<em>I hope this clears your confusion!</em>
