Answer:
3x+38
Step-by-step explanation:
1. (10x2 +5x-3)+(7x2 -2x+7) : rewrite problem
2. (20+5x-3)+(14-2x+7) : PEMDAS (10x2=20 and 7x2=14)
3. (5x+17)+(-2x+21) : PEMDAS (20-3=17 and 14+7=21)
4. 3x+38 : Combine like terms
The value of x that will make the lines parallel is 8
<h3>Corresponding angles </h3>
If the line m and n are parallel to each other hence the given angles will be corresponding angles.
Since they are corresponding angles, hence:
2x² = 128
x² = 128/2
x² = 64
x = √64
x = 8
Hence the value of x that will make the lines parallel is 8
Learn more on corresponding angles, here: brainly.com/question/2938476
Answer: 1300 cm^3, 850 cm^2
Step-by-step explanation:
With a triangular prism, you need to calculate the surface area of the triangle first and then the length. Here's how to solve for the volume (A):
Triangles is b*h/2, plug in the equation
10*13/2
130/2
65
Now use the length of the rest of the shape, which is 20 cm.
65*20=1300
the volume is 1300 cm^3.
for B, finding the surface area requires you to analyze each individual part of the shape.
Each part colored in represents a different shape:
Red:
10*20=200
Blue:
13*10/2=65
65*2=130 (Two triangles)
Green:
13*20=260
260*2=520 (Two rectangles)
Add them all up together.
200+130+520= 850 cm^2
If you would like to solve the following system, you can calculate this using the following steps:
y = x - 20
y = 6 * x
_________
6 * x = x - 20
6 * x - x = -20
5 * x = -20 /5
x = -4
y = 6 * x = 6 * (-4) = -24
If you would like to solve the following system, you can calculate this using the following steps:
y = x + 20
y = 6 * x
_________
6 * x = x + 20
6 * x - x = 20
5 * x = 20 /5
x = 4
y = 6 * x = 6 * 4 = 24
