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:
dilation
Step-by-step explanation:
whenever the shape is dilated, or scaled by a factor of any number, the shape will change size and will become similar rather than congruent. congruent shapes have the same dimensions as the parent or original shape.
Answer:
east to west i think im not too sure
Answer:
12/54
Step-by-step explanation:
4x3=12
6x9=54
9514 1404 393
Answer:
- x ≤ 4
- x > 10
- x ≤ -7
Step-by-step explanation:
We're guessing you want to solve for x in each case. You do this in basically the same way you would solve an equation.
1. 3x +2 ≤ 14
3x ≤ 12 . . . . . subtract 2
x ≤ 4 . . . . . . . divide by 3
__
2. -5 +2x > 15
2x > 20 . . . . . . add 5
x > 10 . . . . . . . . divide by 2
__
3. -2x +4 ≥ 18
4 ≥ 18 +2x . . . . . add 2x
-14 ≥ 2x . . . . . . . subtract 18
-7 ≥ x . . . . . . . . . divide by 2
_____
<em>Additional comment</em>
The statement above that the same methods for solving apply to both equations and inequalities has an exception. The exception is that some operations reverse the order of numbers, so make the inequality symbol reverse. The usual operations we're concerned with are <em>multiplication and division by a negative number</em>: -2 < -1; 2 > 1, for example. There are other such operations, but they tend to be used more rarely for inequalities.
You will note that we avoided division by -2 in the solution of the third inequality by adding 2x to both sides, effectively giving the variable term a positive coefficient. You will notice that also changes its relation to the inequality symbol, just as if we had left the term where it was and reversed the symbol: -2x ≥ 14 ⇔ -14 ≥ 2x ⇔ x ≤ -7 ⇔ -7 ≥ x
