Take the y-coordinate of the second set and minus the <span>y-coordinate of the first set. Then do the same to the X's. Then divide Y's by the X's.
The answer is: 13/4</span>
Answer:
The rate of change of function B is greater than the rate of change of function A.
Step-by-step explanation:
Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
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<em>Additional comment</em>
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
One of the properties of a parallelogram is that its opposite sides are parallel and congruent.
Segment AB and CD are opposite sides of the parallelogram and is therefore, congruent.
Therefore, the reason for CD≅ AB is: "Opposite sides of a parallelogram/rhombus/rectangle/square are congruent."
For the next statement, since CD≅AB and AB≅CE, then by Transitive Property, CD≅CE.
Since CD and CE are sides of a triangle and are congruent as stated in Statement 3, then ∠E ≅ ∠CDE because in a triangle, angles opposite of congruent sides are congruent.
In addition, we can say that ∠A ≅ ∠CDE because parallel lines (AB and CD) cut by a transversal (AE) form congruent corresponding angles.
Lastly, since ∠A ≅ ∠CDE and ∠CDE ≅ ∠E, we can say that ∠A ≅ ∠E by Transitive Property.