Answer:
Step-by-step explanation:
19). Angles measuring 90° and (21x + 6)° are Alternate exterior angles.
Therefore, 21x + 6 = 90
2x = 90 - 6
2x = 84
x = 42
21). Angles measuring 60° and (8x - 4)° are Alternate interior angles,
8x - 4 = 60
8x = 60 + 4
x = 
x = 8
23). Since, angles measuring (-1 + 14x)° and (12x + 17)° are Alternate exterior angles
Therefore, (-1 + 14x) = (12x + 17)
14x - 12x = 17 + 1
2x = 18
x = 9
25). Both the angles (x + 96)° and (x + 96)° are consecutive interior angles.
Therefore, (x + 96)° + (x + 96)° = 180° [Property of consecutive interior angles]
2x + 192 = 180
2x = 180 - 192
2x = -12
x = -6
Now measure of (x + 96)° = -6 + 96
= 90°
26). Both the angles (20x + 5)° and (24x - 1)° are consecutive interior angles.
Therefore, (20x + 5)° + (24x - 1)° = 180°
44x + 4 = 180
44x = 176
x = 4
Answer:
pretty sure it's positive correlation
Answer:
When dividing two values with the same base, we simply subtract the first exponent by the second and keep the original base. 3^3-6=3^-3. This equals out to be 1/27.
Step-by-step explanation:
The inequality is 8-1/4x>27. The solution of the inequality is b<-76.
Given that,
The inequality is 8-1/4x>27
We must determine how to address the inequity.
Take,
8-1/4x>27
Multiply the inequality's two sides by its lowest common denominator,
4×8-4×1/4b>27×4
Reduce the expression to the lowers term,
4×8-b>4×27
Calculate the product or quotient,
32-b>4×27
Calculate the product or quotient,
32-b>108
Rearrange unknown terms to the left side of the equation,
-b>108-32
Calculate the sum or difference,
-b>76
Divide the inequality's two sides by the variable's coefficient,
b<-76
Therefore, the solution of the inequality is b<-76.
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If K is midpoint of JL then JK = 0.5JL
JL = 4x - 2; JK = 7
The equation:
0.5(4x - 2) = 7
2x - 1 = 7 |add 1 to both sides
2x = 8 |divide both sides by 2
<u>x = 4</u>
<u>JL</u> = 4(4) - 2 = 16 - 2 = <u>14</u>
<u>KL</u> = JK =<u> 7</u>
