Answer:
<A = 67
Step-by-step explanation:
The three angles of a triangle add up to 180 degrees. We know a right angle is 90 degrees.
<A + <B + <C = 180
3x-8 + 90 + x-2 =180
Combine like terms
4x-10+90 = 180
4x+80 =180
Subtract 80 from each side
4x+80-80=180-80
4x=100
Divide each side by 4
4x/4 = 100/4
x=25
But we want to know <A
<A = 3x-8
Substitute x=25
=3(25) -8
=75-8
= 67
Answer:
arts: movement and flexibility Music: communication and rhythm
Step-by-step explanation:
11) x^5
12) 5x^2
13) x+21
14) 2x-8
15) 3^3
=3*3*3
=27
16)2^5
=2*2*2*2*2
=32
17) 5^4
=5*5*5*5
=625
18)2 times a number p squared
19)3 times a number m fifth power
20)the addition of half a number and 2
<h3>
Answer:</h3>
x = 1
<h3>
Step-by-step explanation:</h3>
<em>The only solution is an extraneous solution</em>, which is to say the equation has no solution.
The rational expression reduces to -1 (for x≠1), which makes the equation ...
1 = 1/x
The only solution to this is x=1, which is specifically disallowed.
___
If you subtract the right side, the equation becomes ...
((-x+1)(x) +2(x)(x -1) -(x -1))/(x -1) = 0
(-x^2 +x +2x^2 -2x -x +1)/(x -1) = 0 . . . . eliminate parentheses in the numerator
(x^2 -2x +1)/(x -1) = 0 . . . . . . . . . . . . . . . collect terms
(x -1)^2/(x -1) = 0 . . . . . . . . . . . . . . . . . . . factor
This is undefined for the only value of x that could possibly be a solution, x=1.
When the triangle is a right triangle, you can use the Pythagorean theorem. The formula would be
c^2 = a^2 + b^2
If a = 21 and c=29, thus
b^2 = c^2 - a^2
b^2 = 29^2 - 21^2
b^2 = 400
b = square root (400)
b = 20 units.
Thus, the answer is <span>D) B = 400</span>