What is the lesson? We are aware that the 2 triangles are congruent, they also tell us what the two segments are equal to. Your best is to set up an equation making the segments equal to eachother to find the value of segment WK
Answer:
Step-by-step explanation:
Remark
The two angles with x in them are = 90 degrees. That's because this is a right angle triangle.
Equation
x^2 + 10x + 115 = 90 Subtract 90 from both sides
Solution for x
x^2 + 10x + 115 - 90 = 0
x^2 + 10x + 25 = 0
Factor
(x + 5)(x + 5) = 0
x = - 5
Angle C
C = 10x + 115
C = 10*-5 + 115
C = -50 + 115
C = 65
<em>Angle A (which you don't need)</em>
x^2 = (-5)^2
x^2 = A = 25
Find BC
Cos(C) = adjacent / hypotenuse
Cos(65) =0.4226
AC = hypotenuse = 65
0.4226 = adjacent / 44 Multiply both sides by 44
44 * 0.4226 = adjacent
adjacent = 18.6 to three places.
Answer:
Step-by-step explanation:
Step 1: Add 4n to both sides.
n+4n=−4n−1+4n
5n=−1
Step 2: Divide both sides by 5.
5n
5
=
−1
5
n=
−1
5
Answer:
The volume for the sphere is 904.78
Answer:
25, 21, 13, 9
Step-by-step explanation:
All you do here is plug in the X from the table to the X in the equation so,
y=29 - 4 x 1 = 25
y=29 - 4 x 2 = 21
y=29 - 4 x 4 = 13
y=29 - 4 x 5 = 9