Answer:
95°
Step-by-step explanation:
It's a <u>pattern</u>:
<em>135,95,135,135,115,</em><em>95</em><em> </em>
The pattern is<em>...</em> 135, (95) then two more 135's then 115 then the pattern restarts.
I hope this helps!
Answer:
x=-3
Step-by-step explanation:
x=-12/4 divide both sides by 4
Answer:
![3\sqrt{13}](https://tex.z-dn.net/?f=3%5Csqrt%7B13%7D)
Step-by-step explanation:
Using the Theorem of the side of a triangle:
![x^2 = 4 * (4 + 9) = 42\\x = \sqrt{42}](https://tex.z-dn.net/?f=x%5E2%20%3D%204%20%2A%20%284%20%2B%209%29%20%3D%2042%5C%5Cx%20%3D%20%5Csqrt%7B42%7D)
And using the Height Theorem:
y = ![\sqrt{4 \cdot 9} = \sqrt{36} = 6](https://tex.z-dn.net/?f=%5Csqrt%7B4%20%5Ccdot%209%7D%20%20%3D%20%5Csqrt%7B36%7D%20%3D%206)
And by the Pythagorean Therorem:
z = ![\sqrt{6^2 + 9^2} = \sqrt{117} = 3\sqrt{13}](https://tex.z-dn.net/?f=%5Csqrt%7B6%5E2%20%2B%209%5E2%7D%20%3D%20%5Csqrt%7B117%7D%20%3D%203%5Csqrt%7B13%7D)
Answer:
50
Step-by-step explanation:
a pentagon has a total of 540 degrees
105, 115, 110, 180-2x, 180-3x are the interior angles (subtract each from 180 because they're on lines)
540= 105+115+110+(180-2x)+(180-3x)
540=330 +(180-2x)+(180-3x)
210=360-5x
-150=-5x
50=x
You can see a common ratio between the terms of the sequence.
Start with 3.
If you multiply that by -1/3, you get -1.
Multiply -1 by -1/3 again and you get 1/3.
Clearly, the common ratio is -1/3.
Thus, the sequence is geometric.
2) Start with -2, and continue to multiply it by -5/2.
1: -2
2: 5
3: -25/2
4: 125/4
Thus, the answer is d.