Answer:
Both angles have a measure of 134degrees, y = 27degrees.
Step-by-step explanation:
As per what is given in the problem:
There are 2 parallel lines, both are intersected by a transversal.
Remember the theorem, when two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.
The is meanse that:
3y + 53 = 7y - 55
Solve using inverse operations:
3y + 53 = 7y - 55
+55 +55
3y + 108 = 7y
-3y -3y
108 = 4y
/4 /4
27 = y
Now, substitute back in to find the value of the angle:
3y + 53
y = 27
3 ( 27 ) + 53
81 + 53
= 134
Since the angles are alternate exterior, they are congruent, hence both angles have a measure of 134degrees.
Answer:
48
Step-by-step explanation:
y=6x
y=6(8)=48
<h3>When two dice are thrown, the total number of sample spaces is 36. Hence, the probability of getting a sum of prime numbers = 15/36 = 5/12.</h3>
I'm pretty sure this is correct.
Answer:
(x + 3)/(x + 1) .
Step-by-step explanation:
2x^2 + 3x/(2x + 3)(x - 2) - 6 /x^2 - x - 2
= 2x^2 + 3x/(2x + 3)(x - 2) - 6 / (x - 2)(x + 1)
The LCM is (2x + 3)(x - 2)(x + 1) so we have
(2x^2 + 3x)(x + 1) - 6(2x + 3) x( 2x + 3)(x + 1) - 6(2x + 3)
--------------------------------------- = ------------------------------------
(2x + 3)(x - 2)(x + 1) (2x + 3)(x - 2)(x + 1)
(2x + 3)(x(x + 1) - 6) (2x + 3)(x - 2)(x + 3)
= ---------------------------- = --------------------------- = (x + 3)/(x + 1)
(2x + 3)(x - 2)(x + 1) (2x + 3)(x - 2)(x + 1)
