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Wewaii [24]
3 years ago
8

Suppose two parallel lines are cut by a transversal. What angle relationships describe congruent angles in this context?

Mathematics
2 answers:
stiv31 [10]3 years ago
6 0

Answer:

im pretty sure its the 3rd one.

Step-by-step explanation

Pavlova-9 [17]3 years ago
5 0

Answer:

3 one

Step-by-step explanation:

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Let W be part of the solid sphere of radius 4, centered at the origin, that lies above the plane z = 2. Set up an integral in cy
andriy [413]

Answer:

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

Step-by-step explanation:

Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.

So, r = √(R² - z²)

r = √(4² - z²)

r = √(16 - z²)

Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4

Our volume integral in cylindrical coordinates is thus

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

4 0
2 years ago
Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determine the number of s
Sauron [17]

The value of x, y and z from the system of equation are -1, -8 and 5 respectively.

Data;

  • -2x + 6y + 3z = -31
  • -3y + 7z = 59
  • 2z = 10

<h3>System of Equation</h3>

To solve this problem, we have to solve the system of equation using substitution method.

From equation (iii)

2z = 10\\z = 5

let us substitute the value of z into equation (ii)

-3y + 7z = 59\\z = 5\\-3y + 7(5) = 59\\-3y + 35 = 59\\-3y = 59 - 35\\-3y = 24\\y = -8

Let's substitute the value of x and y into equation (i)

-2x + 6y + 3z = -31\\y = -8, z = 5\\-2x + 6(-8) + 3(5) = -31\\-2x - 48 + 15 = -31\\-2x - 33 = -31\\-2x = -31 + 33\\-2x = 2\\x = -1

From the calculation above, the value of x, y and z are -1, -8 and 5 respectively.

Learn more on system of equations here;

brainly.com/question/14323743

6 0
2 years ago
4 thousands + 21 tens
mafiozo [28]
4 x 1 thousand (1000) = 4000

21 x 1 ten (10) = 210


 4000
+ 210
---------
 4210

=4210 (four thousand-two hundred and ten
7 0
3 years ago
Read 2 more answers
A runner is 7/8 miles from the finish line.
stepan [7]
So basically you have to see how the person is built but in average it will took like 12minutes
6 0
3 years ago
Solve the inequality.<br> -6n &gt; 54
Vika [28.1K]

Answer:

n < 9

Step-by-step explanation:

Solving an inequality is just like solving an equation, one uses inverse operations. The only difference is that when one multiplies or divides by a negative number, one must remember to flip the inequality sign to ensure that the expression remains true.

-6 n > 54

/ (-6)

n < 9

6 0
2 years ago
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