Answer:
65.8 ft
Step-by-step explanation:
The number of strings required to tie each vertex to the other three will be ...
(4)(3)/2 = 6
Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.
d² = 12² +7² = 144 +49 = 193
d = √193 ≈ 13.892
Then the total length of all strings is ...
L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet
The artist will need 65.8 feet of string.
Proportional because it's a straight line if you follow the graph points and it goes by 5
Answer:
$643.50
Step-by-step explanation:
Let i be the profit realized from the sale and d be the discount made on the sale:
#John's selling price can be calculated by first adding profit, i to $450, the d to the new price as:
![P_n=P_o(1+i)+d[P_o(1+i)]\\=450(1+0.3)+0.1[450(1+0.3)]\\\\\\=450\times 1.3+0.1(450\times1.3)\\\\=585+58.5\\\\=643.50](https://tex.z-dn.net/?f=P_n%3DP_o%281%2Bi%29%2Bd%5BP_o%281%2Bi%29%5D%5C%5C%3D450%281%2B0.3%29%2B0.1%5B450%281%2B0.3%29%5D%5C%5C%5C%5C%5C%5C%3D450%5Ctimes%201.3%2B0.1%28450%5Ctimes1.3%29%5C%5C%5C%5C%3D585%2B58.5%5C%5C%5C%5C%3D643.50)
Hence, John will resell the bike at $643.50
Answer:
Step-by-step explanation:
The two triangles are congruent.
∠L ≅ ∠ B Given
LN ≅ BZ Given
∠N ≅∠Z Given
ΔLNM ≅ ΔBZA Angle Side Angle congruent
