Answer:
1/3
Step-by-step explanation:
Simplify the following:
1 - 2/3
Put 1 - 2/3 over the common denominator 3. 1 - 2/3 = 3/3 - 2/3:
3/3 - 2/3
3/3 - 2/3 = (3 - 2)/3:
(3 - 2)/3
3 - 2 = 1:
Answer: 1/3
Solution: (2,8)
Using the elimination method set up the system of equations like:
y = x + 6
y = 3x + 2
Eliminate the x-variable by multiplying the top equation by -3
-3y = -3x -18
y = 3x + 2
Combine terms:
-2y = -16
-y = -8
y = 8
Plug in 8 to one of the first equations for y
8 = 3x + 2
6 = 3x
x = 2
Solution: (2,8)
Hi!
To solve this we can set up a proportion and cross multiply.
33 x 100 = 3300
3300/30 = 110
The answer is 110%
Hope this helps! :)
Answer:
Step-by-step explanation:
Let's write a system of equations. I'm going to call them w, x, y, and z.
w = 4x (because m∠1 is 4 times m∠2)
w + x = 90 (bc ∠1 and ∠2 are complementary, meaning they add up to 90)
w = y (bc ∠1 and ∠3 are vertical angles, meaning they are equal)
y + z = 180 (bc ∠3 and ∠4 are supplementary, meaning they add up to 180)
When we substitute w=4x into the second equation, we get 5x=90 → m∠2 = 18°. Since w=4x, m∠1 = 18*4 = 72°. Since w=y, m∠3 = 18°. Finally, because y+z=180, m∠4 = 180-18 = 162°. Hope this helps!
1.) 44
2.) 29
3.) 27
4.) 18
5.) 37
6.) 24
7.) 42
8.) 506
9.) 0
10.) -5
