Answer: C) 108 degrees
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Explanation:
Angle 4 is an exterior angle which corresponds to the remote interior angles of 33 degrees and 75 degrees. Through the remote interior angle theorem, we can add the remote interior angles to get the exterior angle
So we simply add 33 and 75 to get 33+75 = 108
If you chose not to use this theorem, then you can find angle three by using the fact that all three angles of the triangle must add to 180 degrees. So,
33+75+(angle 3) = 180
108+(angle 3) = 180
108+(angle 3) - 108 = 180 - 108
angle 3 = 72 degrees
Then use the fact that angle 3 and angle 4 are supplementary
(angle 3) + (angle 4) = 180
72 + (angle 4) = 180
72 + (angle 4) - 72 = 180 - 72
angle 4 = 108 degrees
either way, we get the same answer
Answer:
1] B
2] C
Step-by-step explanation:
Answer:
750 minutes
Step-by-step explanation:
8 pages in 20 minutes
300 / 8 = 37.5
37.5 * 20 = 750
Answer:
10 litres of 1% solution and 8 litres of 10% solution
Step-by-step explanation:
Let vol of 1% solution = x
So vol of 10% solution = 18 - x
5% of 18 litres = 0.9
Equation formed is
<h3>x * (1/100) + (18 - x)*(10/100) = 0.9</h3>
x + (18 - x)10 = 0.9 * 100
x + 180 - 10x = 90
-9x = 90 - 180
-9x = -90
x = 10 litres
<h3>10 litres of 1% solution and 8 litres of 10%</h3>
Answer:
[1] = 6
x = -3/2 is the root
Step-by-step explanation:
A perfect square trinomial is of the form ...
(a + b)² = a² +2ab +b²
You have ...
- a²=16w² ⇒ a = 4w
- b² = 36 ⇒ b = 6
- 2ab = 2(4w)(6) = 48w
Then the factorization is ...
16w² +48w +36 = (4w +6)²
This will be zero when x = -6/4 = -3/2.
