Answer:
<h3>a = 15</h3>
Step-by-step explanation:
5a - 5 - 15 = 3a + 6 + 4 <em>combine like terms</em>
5a + (-5 - 15) = 3a + (6 + 4)
5a - 20 = 3a + 10 <em>add 20 to both sides</em>
5a = 3a + 30 <em>subtract 3a from both sides</em>
2a = 30 <em>divide both sides by 2</em>
a = 15
Answers and Step-by-step explanations:
9-18.
a) All the angles of a triangle add up to 180, by definition. So, we can write the expression: 30 + 115 + x = 180.
Then, we can just solve for x by subtracting 30 and 115 from both sides:
x = 180 - 115 - 30 = 35 degrees
b) Again all three angles should add up to 180, so:
x + x + x = 180 ⇒ 3x = 180 ⇒ x = 180/3 = 60 degrees
9-19.
a) These angles add up to 180:
2x + x + 30 = 180 ⇒ 3x + 30 = 180 ⇒ 3x = 150 ⇒ x = 50
2x = 50 * 2 = 100
The missing angles are 100 degrees and 50 degrees.
b) Again, these add up to 180:
x + 10 + x + 90 = 180 ⇒ 2x + 100 = 180 ⇒ 2x = 80 ⇒ x = 40
x + 10 = 40 + 10 = 50
The missing angles are 50 degrees and 40 degrees.
Hope this helps!
Answer:
Step-by-step explanation:
To complete the square, we first have to get our equation into 
form.
First we add 16x to both sides:
And now we subtract 62 from both sides.
We now have to add 
to both sides of the equation. b is 16, so this value becomes 
.
We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because 
and 
.
We can now take the square root of both sides.
We can now isolate x on one side by subtracting 8 from both sides.
So our solutions are
Hope this helped!
Well idk about geometric theorem or how ever. but, because they have the same line aka the same Slope. The other line is parallel to it. Assuming by the statement, -1/3x has another -1/3x of the same Slope.
