<h3>
Answer: 130</h3>
Explanation:
Let x be the unknown angle we want to find.
Let y be adjacent and supplementary to x. This means x+y = 180
Let z also be adjacent and supplementary to x. So x+z = 180 also
Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.
Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z
y+z = 100
z+z = 100
2z = 100
z = 100/2
z = 50
Therefore,
x+z = 180
x+50 = 180
x = 180-50
x = 130
Answer:
-1
Step-by-step explanation:
Volume=length*width*height (for a rectangular prism)
Plug in the values.
4 1/4*3*1 1/4= the volume
4 1/4*3= 12 3/4, so:
12 3/4 * 1 1/4 is correct as well.
The answer you checked is the correct answer.
I hope this helps!
~kaikers
Answer: x = -0.3
Step-by-step explanation:
<u>Given expression</u>
1 - 3 (9x + 3) = 3x + 1
<u>Expand parentheses and apply the distributive property</u>
1 - 27x - 9 = 3x + 1
<u>Combine like terms</u>
(1 - 9) - 27x = 3x + 1
-8 - 27x = 3x + 1
<u>Subtract 3x on both sides</u>
-8 - 27x - 3x = 3x + 1 - 3x
-8 - 30x = 1
<u>Add 8 on both sides</u>
-8 - 30x + 8 = 1 + 8
-30x = 9
<u>Divide - 30 on both sides</u>
(-30)x / (-30) = 9 / (-30)
(-30)x / (-30) = 3 / (-10)

Hope this helps!! :)
Please let me know if you have any questions
Answer:
x=3
Step-by-step explanation:
:)