Answer:
d.)33.33%
Step-by-step explanation:
There are a total of 102 students that enjoy watching soccer most.
Of those 102, 34 are middle school students; that makes the relative frequency 34/102 = 33.33%.
Answer:
In standard form it is x^4 - 12x^3y + 54x^2y^2 - 108x y^3 + 81y^4.
Step-by-step explanation:
(3y)^4 + 4C1(3y)^3(-x) + 4C2(3y)^2(-x)^2 + 4C3(3y)(-x)^3 + (-x)^4
= 81y^4 - 108y^3x + 54y^2x^2 - 12yx^3 + x^4
Answer:
Measure of ∠5 is 142°
Step-by-step explanation:
We are given that, Lines L and M are parallel.
As, the third line is intersecting both line L and M.
<em>We know that, 'The opposite angles formed by the intersecting lines are equal'.</em>
Since, the sum of the four angles formed by the third line and M is 360°.
So, we get,
∠1 + ∠6 + ∠7 + 38 = 360°
i.e. 2∠1 + 2×38° = 360°
i.e. 2∠1 = 360° - 76°
i.e. 2∠1 = 284°
i.e. ∠1 = 142°
Thus, ∠1 = ∠7 = 142°
Since, L and M are parallel.
So, ∠3 = ∠5 = 142°
Hence, we get that measure of ∠5 is 142°.
Answer:1
Step-by-step explanation: