When you use the Distributive Property, we will find...
5x - 4 = -6x - 4
Eliminate 4 by adding it to both sides.
5x = -6x
Add 6x to both sides and we get 11x = 0.
11x = 0
Divide both sides by 11.
x=0
The only mistake Megan made was when adding 5x with Megan accidentally subtracting 5x from the other side.
For this problem:
3(2x − 4) = 5x − 1
Distribute
6x - 12 = 5x - 1
Add 1 to both sides
6x - 11 = 5x
Subtract 6x from both sides
-11 = -x
Divide both sides by -1.
x = 11.
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He chose the right type of equation equation, but the equation should be y=15/x
Answer:
Step 3.
m∠ AEB = m∠ CED .........By Vertical Angles Theorem.
Step-by-step explanation:
Vertical Angles Theorem:
Vertical angle theorem states that vertical angles, angles that are opposite each other and formed by two intersecting lines,are congruent.
If two lines intersect each other we have two pair of vertical opposite angles. As shown in the figure.
Here,
∠ 1 and ∠ 2 are vertical opposite angles and also they are equal.
∠ 3 and ∠ 4 are also vertical opposite angles and also they are equal.
For,
step 3. m∠ AEB = m∠ CED
Therefore, the reason for step 3 of this proof is Vertical Angles Theorem.
Answer:
1/3
Step-by-step explanation:
2/3 plus -1/3 is the same as subtracting 1/3 from 2/3.
Answer:
a) The length of segment AC is approximately 5.83 centimeters.
b) The angle ACD is approximately 34.5º.
Step-by-step explanation:
a) Since
, the length of segment
is determined by Pythagorean Theorem, that is:


The length of segment AC is approximately 5.831 centimeters.
b) Since
, the length of segment
is determined by this Pythagorean identity:


The angle ACD is determined by the following trigonometric expression:





The angle ACD is approximately 34.448º.