Answer:
general rule Un=1.8n-21
U100=1.8(100)-21=159
Step-by-step explanation:
a5=a+4d, a5=-12
a10=a+9d, a10=-3
-12=a+4d
-3=a+9d subtract the system of equations
-9=-5d solve for d
d=1.8
substitute d into first equation to find a
-12=a+4(1.8)
a=-19.2
un. = a + (n − 1)d
Un=-19.2+(n-1)(1.8)
Un=1.8n-21
Since the triangle is isosceles the measure of angle B is also 47.
since you have dropped a perpendicular bisector the measure of angle x is 90. and since the angles must add to 180 you get 47+47+a=180 and a= 86. since y is half this we have y is 43
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Answer:
Step-by-step explanation:
Comment
The formula that relates edges faces and vertices is F + V = E + 2
Givens
Edges (E): 37
Faces (F) = 25
Vertices: x
Solution
25 + x = 37 + 2 Subtract 25 from both sides.
25-25 +x= 37 - 25 + 2 Combine
x = 12 + 2
x = 14
Answer: The vertices =<u> 14</u>
Answer:
(6x - 7y)(6x + 7y)
Step-by-step explanation:
36x² - 49y² ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
36x² - 49y²
= (6x)² - (7y)²
= (6x - 7y)(6x + 7y)
You need the Law of Sines for this. In our case we have the measure of angle B and side b, we have the measure of angle A and are looking for side a, or x. Setting up the Law using our info, we have
. We will solve for x by multiplying both sides by sin(42):
, first choice above.