Answer:
Step-by-step explanation:
20) Angles 1 and 2 are supplementary angles( sum of angle 1 and angle 2 is 180 degrees)
21) Angles 1 and 2 are supplementary angles( sum of angle 1 and angle 2 is 180 degrees)
22) Angle TUW + Angle WUV =Angle TUV
Therefore
(7x-9) + (5x - 11) = (9x+1)
7x-9 + 5x - 11 = 9x+1
7x +5x-9x =1 + 11 + 9
3x = 21
x = 21/3= 7
23) GEF - 13 = 5DEG
and DEF = 149 degrees
GEF = 5DEG + 13
Sum of angles (GEF + DEG)=DEF
Therefore,
DEG + 5DEG - 13 = 149
6DEG = 149 + 13 = 162
DEG = 162/6 = 27
GEF = 5DEG = 27 × 5 =135
24) 7x - 1 + 6x -1 = 180(sum of angles in a straight line)
13x-2 = 180
13x = 180+2 = 182
x = 182/13 = 14
25) 5x + 4 + 8x - 7 = 180( sum of supplementary angles is 180)
13x = 180+7-4= 183
x = 183/13 = 14.08
Answer:
w^64
Step-by-step explanation:
(w^8)^8
both of the powers will be multiplied; hence
w^8*8
w^64
Answer:
<u>The solutions to this quadratic equation are 10 and 3.</u>
Step-by-step explanation:
1. Let's recall the formula for solving this type of equations, called quadratic equations:
x = ( - b +/- √ b² - 4ac)/ 2a
The equation given is x2 – 13x + 30 = 0,
where a = 1, b = - 13 and c = 30
Now replacing with the real values, we have
x = [ - (-13) +/- √ (-13)² - 4 * 1 * 30] / 2 * 1
x = [ 13 +/- √ 169 - 120] / 2
x = [13 +/- √ 49]/ 2
x = [ 13 +/- 7 ]/ 2
<u>x₁ = 13 + 7/2 = 20/2 = 10</u>
<u>x₂ = 13 - 7/2 = 6/2 = 3</u>
Answer:
7 and 1/4 or 7.25
Step-by-step explanation:
28/4 = 7
1/4 = 0.25
7 + 0.25 = 7.25
