3/8 of a foot = 3/8 x 12/1 or 4 1/2 inches
So our 1/2 inch grows by a factor of 9 because 4 1/2 ÷ 1/2 = 9 Think how many 1/2 dollars are in 4 1/2 dollars. (Answer is 9)
So our 8 4/9 in the catalog has to grow the same
8 4/9 x 9 = 8 4/9 x 9/1 = 76/9 x 9/1 or 76 inches which is 6 ft 4 inches.
(76 ÷12 = 6 r4)
4x-1=23-2x
4x +2x =23+1
6x=24
X=4
The cosine of 30° is √3 / 2.
Since cosine is Adjacent over Hypotenuse, Hypotenuse = (2 / √3) * 9 = 18 / √3.
The cosine of 45° is √2 / 2.
Therefore, X = (2 / √2) * (18 / √3) = 36 / √6 = 18 / √1.5 = C
Seven has the greatest value as a digit, but 1, 000 has the greatest standard form value.
Given that ∠B ≅ ∠C.
to prove that the sides AB = AC
This can be done by the method of contradiction.
If possible let AB
=AC
Then either AB>AC or AB<AC
Case i: If AB>AC, then by triangle axiom, Angle C > angle B.
But since angle C = angle B, we get AB cannot be greater than AC
Case ii: If AB<AC, then by triangle axiom, Angle C < angle B.
But since angle C = angle B, we get AB cannot be less than AC
Conclusion:
Since AB cannot be greater than AC nor less than AC, we have only one possibility. that is AB =AC
Hence if angle B = angle C it follows that
AB = AC, and AB ≅ AC.