Answer:
x = 15 degrees
3 angles in triangle are 44, 44 and 92 degrees.
Step-by-step explanation:
When the lines are parallel the internal angles add up to 180 degrees. So:-
8x + 7 + 2x + 23 = 180
10x + 30 = 180
10x = 150
x = 15
In the triangle:-
The angle adjacent to 136 = 180 - 136
= 44 degrees. As 2 sides of the triangle are congruent the other base angle = 44 degrees also.
The third angle = 180 - 2(44) = 92 degrees
Answer:
0.42....and its a repeating decimal.
Step-by-step explanation:
70/3
6x > 220 - 80
220 - 80 = 140
6x > 140
Divide 6 on all terms & simplify.
6x/6 > 140/6
Divide x by 1 and cancel common factor 140/6
x > 140/6
Factor 2 out of 140
x > 2(70) / 6
Cancel common factors
Factor 2 out of 6
x > 2 • 70 / 2 • 3
Cross out both of the 2’s and rewrite expression
x > 70/3 or (70/3 , ♾ )
Answer:
17+6i
-----------
25
Step-by-step explanation:
2+3i
---------
4+3i
We want to multiply by the complex conjugate of the denominator
4+3i has a complex conjugate of 4-3i
2+3i 4-3i
--------- * --------------
4+3i 4-3i
Lets multiply the numerator
(2+3i) ( 4-3i)
2*4 +4*3i -3i*2 - 3i*3i =
8 +12i -6i - 9i^2
Remember i^2 = -1
8 +6i -9(-1)
17 +6i
Lets multiply the denominator
(4+3i) ( 4-3i)
4*4 +4*3i -3i*4 - 3i*3i =
16 +12i -12i - 9i^2
Remember i^2 = -1
16 -9(-1)
25
Putting numerator over denominator
17+6i
-----------
25
