Hello!
I believe the answer is (3x^2 - 3x + 5) • (x + 1)
I hope it helps!
Answer:
y = (1/4)x - 3
Step-by-step explanation:
The slope-intercept form is y = mx + b. Here we are told that the line passes through (-8, -5) and that its slope is 1/4 (is that correct?).
Substituting -5 for y, -8 for x and 1/4 for m, we get an equation for the y-intercept, b:
-5 = (1/4)(-8) + b, or
-5 = -2 + b, so b = -3, and the desired equation is
y = (1/4)x - 3
Since CM is perpendicular to AB, it follows that ∠1 and <span>∠2 are 90 degrees. Since they both have 90 degree angles, that must mean they are both right triangles.
And since </span>∠3 = ∠4 and ∠1 = ∠2, then it follows that ∠A = <span>∠B. (You can show this by showing that they must add up to 180 degrees.)
So since both right triangles have 3 congruent angles to each, then that makes them similar by AAA (angle angle angle).</span>
Answer:
The value of x is 
.
Step-by-step explanation:
Please look at the figure attached to get more clear solution.
We have given:
FG||CB
And the line that cut the parallel line is transversal so, here BA is transversal
And alternate interior angles on transverse line are equal
So, ∠1=∠4
And ∠4=
Hence, ∠1=∠4=
And On FG the sum of angles will be 
∠3+∠2+∠1=
+∠2+=
Hence, ∠2=
Now, we know that the sum of interior angles is equal to the exterior angle:
Therefore, ∠2+∠5=∠6+∠7
On simplification we get:
Hence, the value of x is .
