To solve this problem, we just need to set up a simple equation. We have that angles 1 and 2 add up to equal a right angle, or 90°, and that m<2 is 35°, so we just have to do a bit of subtraction.
<1 + <2 = 90 Given
<1 + 35 = 90 Substitute 35 for <2
<1 = 55° Subtract 35 from both sides to get rid of it, since subtraction is the opposite of addition.
Therefore, m<1 = 55°.
Hope this helps!
<h3>Explanation:</h3>
Any techniques that you're familiar with can be applied to polynomials of any degree. These might include ...
- use of the rational root theorem
- use of Descartes' rule of signs
- use of any algorithms you're aware of for finding bounds on roots
- graphing
- factoring by grouping
- use of "special forms" (for example, difference of squares, sum and difference of cubes, square of binomials, expansion of n-th powers of binomials)
- guess and check
- making use of turning points
Each root you find can be factored out to reduce the degree of the remaining polynomial factor(s).
Answer:
k = 9.
Step-by-step explanation:
2x + 3y -8=0
3y = -2x + 8
y = -2/3 x + 8/3
So the slope of this line is -2/3.
Therefore the slope of a line perpendicular to the above is -1 /-2/3
= 3/2.
kx - 6y = 9
6y = kx - 9
y = k/6x - 3/2
But the slope is 3/2,
So k/6 = 3/2
2k = 18
k = 9.
Yes that is a repeating decimal the answer would be -0.4444444.. and so on.
