Answer:
16.2
Step-by-step explanation:
The angle internal to the triangle at B is the supplement of the one shown, so is 65°. That is equal to the angle internal to the triangle at D. Since the vertical angles at C are congruent, the two triangles are similar by the AA theorem.
Corresponding sides of similar triangles are proportional, so we can write the proportion shown in the attachment:
BC/FC = DC/AC
BC = FC(DC/AC) = 21.6(7.2/9.6)
BC = 16.2 . . . . matches the first choice
Answer:
Perpendicular bisector - A line that bisects another line into two equal halves so that four right angles are created.
Cylinder - A 3D solid with circles as its bases.
Plane - A flat, 2D surface that extends infinitely.
Regular Polygon - A polygon where all angles and all sides are equal (ex. square, pentagon, triangle).
Answer:
x + y = 125
3.50x + 2.25y = 347.50
53 rolls
Step-by-step explanation:
System of equations
so basically if we say that rolls are represented by x and wrapping paper is represented by y, we can say x plus y is 125 because there are a total of 125 rolls and packages. if each roll is 3.50 and each package is 2.25, we can just put each number in front of the corresponding variable to show that each one is worth that amount, and they total to 347.50. then you have to solve the system of equations. so if you solve for x in the first equation, x = 125 - y. so plug that in to the next equation, 3.50(125 - y) + 2.25y = 347.50. solve for y and you get 72.
but y is the number of packages, and we want the number of rolls. there are 125 rolls and packages, so 125 minus the 72 packages and you get 53 rolls
Answer:
The scale factor is 
Step-by-step explanation:
The volume of the original prism is 
The volume of the dilated prism is 
Let the scale factor be 
.
To find the volume of the dilated prism, we multiplied by 
.
![\Rightarrow k=\sqrt[3]{\frac{27}{8}}](https://tex.z-dn.net/?f=%5CRightarrow%20k%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B27%7D%7B8%7D%7D)
Answer:
7/8=0.875 7/20=0.35 18/20=0.9 7/8=0.875 68/50=1.36 25/20=1.25 26/25=1.04 11/10=1.1 11/16=0.6875 9/16=0.5625 33/40=0.825 23/40=0.575 14/10=1.4 29/25=1.16 39/40=0.975
Step-by-step explanation:
