Because of a linear pair then because of vertical angles and because all angles have to be 180 added up
Answer:
N represents (-2,3)
Step-by-step explanation:
x axis of N = -2
y axis of N = 3
A. Is 2x
B. Is 2x+3
This shows the line and contracts it
The number of cubes with edge length ⅕ inch that will fit in the prism is: 1,920 cubes
<h3>Volume of a Rectangular Prism</h3>
Volume of a rectangular prism = length × width × height
<h3>Volume of a Cube</h3>
A cube has equal edge length. Therefore, the volume of a cube = a³, where a is the edge length.
Given the following,
Dimensions of Priya's Rectangular Prism:
2⅖ = 2.4 inches
3⅕ = 3.2 inches
2 inches
Volume of the Rectangular Prism = 2.4 × 3.2 × 2 = 15.36 in.³
Dimension of the cubes:
edge length = ⅕ inch
Volume of the cube = (⅕)³ = 0.008 in.³
The number of ⅕ inch edge cube that will fit in the prism = Volume of Prism / Volume of Cube
= 15.36/0.008 = <em>1,920 cubes </em>
Learn more about Volume of Prism on:
brainly.com/question/9761614
Answer:
c) The total price for the service when Terrance's price was equivalent to Sylvester's price is $600.
Step-by-step explanation:
Here, t = 320.00 + 0.40 b
and t = The total prices charged by Terrance for packing and moving b boxes.
s = 250.00 +0.50 b
and s = The total prices charged by Sylvester for packing and moving b boxes.
Now, to find the number of boxes, when both the prices are equal.
⇒320.00 + 0.40 b = 250.00 +0.50 b
or, 320 - 250 = 0.50 b - 0.40 b
or, 0.10 b = 70
or, b= 70/0.10 = 700
Hence, for packing and moving b = 700 boxes, both companies charge the same amount.
Now, the price charged = 320 + 0.4 (b)
= 320 + 0.4(70) = 320 + 280
= 600
or, the total price for the service when Terrance's price was equivalent to Sylvester's price is $600.