Answer:
DE is parallel to AC
DE = 2AC
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<u>Explanation</u><u> </u></h3>
In triangle ABC, BD = AD
BE = EC
D is mid point of AB
E is the mid point of AC
According to the mid point theorem, ( The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”) DE is parallel to AC and equal to half of it
Our system of equations is:
y = -3x + 9
y = -x - 5
To solve this system of equations, we are going to use substitution. This means that we are going to substitute the second equation into the first equation since both are already solved for y in terms of x.
y = -3x + 9
-x - 5 = -3x + 9
Now, we must simplify by moving all of the constant terms to one side of the equation and all of the variable terms to the other side.
-x - 5 = -3x + 9
2x - 5 = 9
2x = 14
Finally, to undo the multiplication between the coefficient 2 and the variable x, we must divide both sides by 2 to get the variable x alone.
x = 7
Next, we must substitute in this value we have solved for x into one of the original equations to solve for the other variable, y.
y = -3x + 9
y = -3(7) + 9
To simplify, we must multiply through the parentheses and combine like terms by addition.
y = -21 + 9
y = -12
Therefore, your final answer is x = 7 and y = -12, or as an ordered pair (7, -12).
Hope this helps!
Answer:
3.8 + (-2.9) is the same as 3.8 - 2.9. That equals .9 or 0.9
Step-by-step explanation:
DID I EXPLAIN NOWWWW
Answer: Maturation
Step-by-step explanation:Internal validity is a type of validity that establishes a cause and effect relationship,this type of validity tries to eliminate alternative explanation for a Discovery.
One of the threats to internal validity is MATURATION.
MATURATION is the type of threat occuring during experiment to prove a particular Discovery as shown by the question where the police officer shot and killed someone against the intention of the experiment.
Answer: $574
Step-by-step explanation:
First we need to calculate the price of the snowboard before the addition of the tax. This will be represented by x. Therefore,
6% of x = $32.50
0.06 × x = $32.50
0.06x = $32.50
x = $32.50 / 0.06
x = $541.67
Therefore, the total cost including the sales tax will be:
= $541.67 + $32.50
= $574.17
= $574
