Answer:
x = 52 degrees.
Step-by-step explanation:
Here we make use of the fact that the interior angles of any triangle add up to 180 degrees. Before this we must find an algebraic expression for interior angle RQS:
Since angle RQS + x + 72 = 180 degrees, angle RQS is equal to 180 -72 - x, or 108 - x.
The sum of the three interior angles is then
108 - x + 90 + 34, or 232 - x degrees, and this sum must equal 180 degrees.
Then 232 - x = 180. Solving for x, we get x = 52 degrees.
Answer:
-12,-9,8,10,12,16
Step-by-step explanation:
Answer:
three times the sum of a number and 4, if n were to represent the unknown number, is:
3(n + 4)
18 more than a number is:
n + 18
If these two are the same, then they are equal to each other, then:
3(n + 4) = n + 18
*Do the distributive property on the left*
3n + 12 = n + 18
*Combine like terms*
2n = 6
*Divide both sides by 2*
n = 3
The number is 3.
The problem statement says "the graph is shown," but you haven't shared it. Please do that if possible. Thank you.
<span>Heather was asked to graph 2x + 4y = 12 by using slope and y-intercept.
We can quickly put this into slope-intercept form:
12 - 2x
Subtract 2x from both sides: 2x - 2x + 4y = 12 - 2x => y = ------------
4
In simplest form, this is y = 3 - (1/2)x, or (-1/2)x + 3. The slope is -1/2 and the y-intercept is (0,3).</span>
