Distribute the x3 to each number. The coefficient stays the same but add exponent (3) onto each x. Final answer is: x to the seventh power plus 8X to the sixth power plus 2X to the fifth power +18 X to the fourth power +9x the third power
Answer:
a. More than one pie
Step-by-step explanation:
2/3 + 3/4
8/12 + 9/12 = 17/12
17/12 = 1 5/12
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:
height of vertical post = 6ft
its shadow = 20 in
For all shadows cast at the same time, the ratio of the height of a shadow-casting structure to the length of its shadow is the same. (Assuming, of course, that it's the sun casting the shadows.)
So the ratio is
4 feet / 12 inches = 4 feet / 1 foot = 4/1 = 4,
and if h is the height of the cell tower,
h/122 feet = 4
h = 4 x 122 feet = 488 feet. <---------------- Final answer
Hope I helped,
-Adrian Velez
Step-by-step explanation:
