Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Given that the two parallel lines are crossed by a transversal line.
Given that
m∠2 = 2x + 54 and m∠6 = 6x - 11
Angle ∠2 and ∠6 are corresponding angles.
Corresponding angles are congruent.
Thus,
m∠2 = m∠6
2x + 54 = 6x - 11
flipe the equation
6x - 11 = 2x + 54
subtract 2x from both sides
6x - 2x - 11 = 2x - 2x + 54
4x - 11 = 54
adding 11 to both sides
4x - 11 + 11 = 54 + 11
4x = 65
dvide both sides by 4
4x/4 = 65/4
x = 16.2500 (round to 4 decimal places)
Part b)
We have already determined
x = 16.2500
Given
m∠2 = 2x + 54
substitute x = 16.2500 in the euation
= 2(16.2500) + 54
= 86.5°
As angle ∠2 and angle ∠1 lie on a straight line. Hence, the sum of their angles must be 180°.
i.e.
m∠1 + m∠2 = 180°
substituting m∠2 = 86.5° in the equation
m∠1 + 86.5° = 180°
subtracting 86.5° from both sides
m∠1 + 86.5° - 86.5° = 180° - 86.5°
m∠1 = 93.5°
Therefore, the measure of angle m∠1 is:
Answer:
The answer would be he sold 11 packs of baseball cards at $0.75 each.
Step-by-step explanation:
11 packs of cards at 75 cents each.
Answer:
A and C
Step-by-step explanation:
The order must always be the same.
Answer:
what is the question
Step-by-step explanation:
Questions for answers
Hello.
To find the slope, use the formula:
m= (y2-y1) / (x2-x1)
Note: The 2s and 1s are NOT exponents or constants. They are simply markers.
So:
m= (5-(-4)) / (2-0)
m= (5+4) / 2
m = 9/2
Note: The order of the coordinates don't matter as long as y2 is aligned with x2 etc.
Example: (okay)
m= ((-4)-5) / (0-2)
m= -9/ -2
m= 9/2 because a negative multiplied or divided by a negative makes a positive.
Now, let's see what's not okay:
(2,5)(0,-4)
m= (5-(-4)) / (0-2)
NOT. OKAY. since the 1s and 2s aren't aligned.
Hope that helped.
**************************
Disclaimer:
Always double check with a reliable source, as mistakes can be made.
