Can a pair of lines be both parallel and skew? Explain.
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Regards!
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Find the constant of variation k for the direct variation. A . K = -2B . K = 2C . K = -0.5D . K= -1.5
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You can figure this out easily by extending the top and bottom sides of the trapezoid, and finding supplementary / corresponding angles.
First, look at the top. We know that supplementary angles add up to 180 degrees (or form a straight line), so subtract 180 - 45 to get 135 degrees.
When you extend the short (bottom) side of the trapezoid along with the long (top) side and the diagonal line, it’s easy to see that there are corresponding angles. The 135-degree angle corresponds with angle x, so the measure of x would therefore be 135 degrees.
Answer:
135
Step-by-step explanation:
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let the diagonal be x
⇒54²+72²=x²
⇒8100=x²
x=90meters
now, as we know that each angle in a rectangle is right angle.
thus we have a right angled triangle.
now, we can apply pythagoras theorum.
a^2 = 54^2 + 72^2
= 2916 + 5184
=8100
thus, a^2 = 8100
thus, a = 90.
Thus the diagonal is 90metres.
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The total amount is given by the equation A = $ 86.825
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount in the restaurant be represented as A
Now , the equation will be
The amount of bill from the restaurant = $ 75.50
The percentage of tip by Luisa = 15 %
So , the amount of tip by Luisa = ( 15/100 ) x amount of bill from the restaurant
Substituting the values in the equation , we get
The amount of tip by Luisa = 0.15 x 75.50
The amount of tip by Luisa = $ 11.325
So , the total amount in the restaurant A = amount of bill from the restaurant + amount of tip by Luisa
Substituting the values in the equation , we get
The total amount in the restaurant A = $ 75.50 + $ 11.325
The total amount in the restaurant A = $ 86.825
Hence , the equation is A = $ 86.825
To learn more about equations click :
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The graph will stay the same.
B.
The graph will shift up 4 units.
C.
The graph will shift down 4 units.
D.
The graph will shift right 4 units.
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The graph will shift down 4 units.
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Answer:
Adela rode 1 hour = 3.66 miles.
Step-by-step explanation:
Given : Adela rode her bicycle 18.3 miles in 5 hours.
To find : Which gives the best estimate of how far Adela rode in 1 hour.
Solution : We have given
Adela rode 5 hour = 18 .3 miles .
Adela rode 1 hour = .
Adela rode 1 hour = 3.66 miles.
Therefore, Adela rode 1 hour = 3.66 miles.