9514 1404 393
Answer:
first triangle -- side: 304.8 mm; perimeter: 914.4 mm
second triangle -- side: 863.6 mm; perimeter: 2590.8 mm
Step-by-step explanation:
We are given two equilateral triangles. The perimeter of the second is given as 102 inches, so its sides have length 102/3 = 34 inches. This is 2 less than 3 times the side length in the first triangle. So, adding 2 will give 3 times the side length of the first triangle: 36 inches, which also happens to be its perimeter. Those side lengths are 36/3 = 12 inches.
Now, we know:
first triangle -- side length 12 inches, perimeter 36 inches
second triangle -- side length 34 inches, perimeter 102 inches.
These measurements are desired in millimeters. Each inch is 25.4 millimeters, so we can find the desired measures by multiplying these numbers by 25.4.
12×25.4 = 304.8; 36×25.4 = 914.4
34×25.4 = 863.6; 102×25.4 = 2590.8
The desired lengths are ...
first triangle -- side: 304.8 mm; perimeter: 914.4 mm
second triangle -- side: 863.6 mm; perimeter: 2590.8 mm
Answer:
B) ASA
Step-by-step explanation:
The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. (The included side is the side between the vertices of the two angles)
In this case, angle U, side UY and angle Y are congruent to angle U, side UW and angle W
9x^3-39x^2-38x+40=(3x-2)(3x+4)(x-5) by synthetic division
Thus roots are -4/3, 2/3, 5
Answer:
Caitlin can buy no more than 4 bracelets.
Step-by-step explanation:
Let b represent the number of bracelets
4.75b <= 22
4.75b/4.75 <= 22/ 4.75
b<= 4.63
