Height would be 21 inches, depth would be 5.
The volume formula is length x width x height. 7x5x12=420 cubic inches
The angle congruent to ∠6 are ∠8, ∠3, ∠9 and ∠14
<h3>How to find congruent angles?</h3>
When parallel lines are cut by a transversal, angle relationships are formed. They include corresponding , alternate and many more.
L║m
n ║ q
Therefore, the angles congruent to ∠6 by alternate or corresponding relationship are as follows:
∠6≅∠8≅∠3≅∠9≅∠14
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Answer:
The answer is below
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b
where m is the slope of the line and b is the y intercept (value of y when x = 0).
Given the equation of two lines as 
, the two lines are parallel to each other if 
. Also the lines are perpendicular if
Given line BC:
3x + 2y = 8
2y = -3x + 8
y = -3x/2 + 4
Hence the slope of the line BC = -3/2
For line AD:
-3x - 2y = 6
-2y =3x + 6
y = -3x/2 - 3
Hence the slope of line AD is -3/2
Since both line BC and AD have equal slope (-3/2), hence both lines are parallel to each other
Answer: 80$
Step-by-step explanation:
Step-by-step explanation:
We have been given that David, Egil and Frances share money in the ratio 2:7:9.
Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.
We are told that Frances gets $80 more than David. So we can write this information in an equation as:
9x=2x+80
Now let us solve for x.
9x-2x=80
7x=80
x=\frac{80}{7}
Now let us substitute x=\frac{80}{7} in 7x (amount of money that Egil gets).
\text{ Amount of money that Egil will get}=7\cdot \frac{80}{7}
Upon cancelling out 7 from numerator and denominator we will get,
\text{ Amount of money that Egil will get}=80
Therefore, Egil will get $80.
