Answer:
i want to say it is b but i could be wrong
Step-by-step explanation:
Answer:
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
Step-by-step explanation:
Answer:
<h2>
![\huge\boxed{\boxed{a=6}}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Cboxed%7Ba%3D6%7D%7D)
</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
- trigonometry
- PEMDAS
- equation
<h3>tips and formulas:</h3>
- sin(30°)=½
- sin(x)=opp/hypo
<h3>let's solve:</h3>
![step - 1 : define](https://tex.z-dn.net/?f=%20step%20-%201%20%3A%20define)
![\sin( {30}^{o} ) = \frac{a}{12}](https://tex.z-dn.net/?f=%20%5Csin%28%20%7B30%7D%5E%7Bo%7D%20%29%20%20%3D%20%20%5Cfrac%7Ba%7D%7B12%7D%20)
![step - 2 : solve](https://tex.z-dn.net/?f=%20step%20-%202%20%20%20%3A%20%20solve)
![\tt substitute \: the \: value \: of \: \sin( {30}^{o} ) \\ \tt \frac{1}{2} = \frac{a}{12}](https://tex.z-dn.net/?f=%20%5Ctt%20substitute%20%5C%3A%20the%20%5C%3A%20value%20%5C%3A%20of%20%5C%3A%20%20%5Csin%28%20%7B30%7D%5E%7Bo%7D%20%29%20%20%20%5C%5C%20%5Ctt%20%5Cfrac%7B1%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7Ba%7D%7B12%7D%20)
![\tt cross \: multiplication : \\ \tt2a = 12](https://tex.z-dn.net/?f=%20%5Ctt%20cross%20%5C%3A%20multiplication%20%3A%20%5C%5C%20%20%5Ctt2a%20%3D%2012%20)
![\tt divide \: both \: sides \: by \: 2 : \\ \tt \frac{2a}{2} = \frac{12}{2} \\ \therefore a = 6](https://tex.z-dn.net/?f=%20%5Ctt%20divide%20%5C%3A%20both%20%5C%3A%20sides%20%5C%3A%20by%20%5C%3A%202%20%3A%20%20%5C%5C%20%20%5Ctt%20%20%5Cfrac%7B2a%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B12%7D%7B2%7D%20%20%20%5C%5C%20%5Ctherefore%20a%20%3D%206)
Answer:
y = - 3x + 14
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute (5, - 1) into the partial equation
- 1 = - 15 + c ⇒ c = - 1 + 15 = 14
y = - 3x + 14 ← equation in slope- intercept form
Remark
What you have to do to learn the difference between recursive and explicit is try try the first 3 or 4 terms to see what you have and how you did it.
a1 = - 3
a2 = - 3 (1/8) = -3 / 8
a3 = (a2) (1/8)
a3 = (-3/8) * 1/8
a3 = (- 3/64)
a4 = a3 (1/8)
a4 = -3/64 * 1/8
a4 = - 3 / 512
Take a good look at a4. What do you notice? No matter what, you are always multiplying by 1/8. That means that A and D are both wrong which they would have you raising by 3 or - 3 to some power.
So which one of B and C is correct?
The answer is which ever one will not change sign from what it started out with. All four terms are minus.
In B the term is multiplied by plus 1/8. That will not change the sign of the next term.
So the answer is
a_n = - 3 * (1/8)^(n - 1) <<<<< answer