Answer:
∠3 = 60°
Step-by-step explanation:
Since g and h are parallel lines then
∠1 and ∠2 are same side interior angles and are supplementary, hence
4x + 36 +3x - 3 = 180
7x + 33 = 180 ( subtract 33 from both sides )
7x = 147 ( divide both sides by 7 )
x = 21
Thus ∠2 = (3 × 21) - 3 = 63 - 3 = 60°
∠ 2 and ∠3 are alternate angles and congruent, hence
∠3 = 60°
Answer:
an = -39 -100(n -1)
Step-by-step explanation:
The given sequence can be described by a 3rd degree polynomial.* However, we suspect a typo, and that your intention is to have a formula for the arithmetic sequence ...
-39, -139, -239, -339
This has a first term a1 = -39, and a common difference d = -100.
The model for the explicit formula is ...
an = a1 +d(n -1)
Filling in the given values, the formula you seek is ...
an = -39 -100(n -1)
_____
* That polynomial is ...
an = 50n^3 +350n^2 -800n +461
This gives a sequence that starts ...
-39, -139, -139, -339, -1039, -2539, -5139, -9139, ...
Check the picture below.
now, if the x-intercepts are at ±4 whilst the center is at the origin, that means the vertices are the ones hitting the x-axis, like in the picture, so just plug in the values for a, b, h and k.
Answer:
7/6 or 1 1/6
Step-by-step explanation:
4/6 + 1/2
= 4/6 + 3/6
= 7/6 = 1 1/6
Answer:
31, 27
Step-by-step explanation:
