C² = a² + b² - (2ab * cosC)
<span>c² = 10² + 23² - (2 * 10 * 23 * cos95) </span>
<span>c² = 100 + 529 - (460 * -.08715) </span>
<span>c² = 629 - (-40.1) </span>
<span>c² = 669.1 </span>
<span>c = 25.87 </span>
<span>(Sin C) / C = (Sin A) / A </span>
<span>(Sin 95) / 25.87 = SinA / 10, Remember 0 < A < 85 </span>
<span>(10 * Sin95) / 25.87 = Sin A </span>
<span>A = arcsin ((10 * sin95) / 25.87) </span>
<span>A = 22.65º </span>
<span>B = 180 - A - C </span>
<span>B = 180 - 95 - 22.65 </span>
<span>B = 62.35º </span>
<span>I hope this helps. Have a good day.</span>
<span>-2(-6+5k)-1
Use distributive property(Multiply the -2 by the -6 and 5k)*Note: When you multiply a negatavie number by another negative number, it creates a positive number.
12 - 10k - 1
Subtract 1 from 12.
Final Answer: 11 - 10k
This equation cannot be simplified down any longer.</span>
Answer:
never
Step-by-step explanation:
Intersecting planes are planes that intersect along a given line.
To explain this better, consider the following definitions:
i. A point: This is denoted by a dot and it is a location marked on a space or a plane.
ii. A line: This is the distance between two points. It is one-dimensional.
iii. A plane: This is a two-dimensional, flat surface with no thickness formed by points and extends infinitely.
Therefore, since intersecting planes intersect along a line, it is not possible that they intersect in exactly one point given that a line is the distance between points.
Answer:
20ft
Step-by-step explanation:
Use ratios:
Solve for x
x = 20
3x + 55 = 2(6x + 5)
3x + 55 = 12x + 10
9x = 45
x = 5
length of mid-segment = 6(5) + 5 = 35
Answer
A. 35.0
