Answer:
Angle KMP is congruent to angle LNP because they are alternate interior angles.
Step-by-step explanation:
Alternate interior angles are angles inside the parallel lines and on opposite sides of the transversal.
KM and NL are parallel to one another. KMP and LNP both fall between the parallel lines; this makes them interior.
KL is a transversal for the two parallel lines. KMP and LNP are on opposite sides of the transversal; this makes them alternate.
Therefore they are alternate interior angles.
On top: (-2)³ = -2 × -2 × -2 = -8
(x²)³ = x^6 (the exponents multiply)
and of course, (y)³ = y³
On the bottom: (xy²z)² = x² y^4 z²
(-yz)² = y²z²
Multiplying these together, the exponents add and we get x² y^6 z^4.
So, your reasoning is correct for what you have so far.
Your next step would be cancelling shared factors from the top and bottom.
Just like with regular fractions, if the numerator and denominator are divisible by the same number, you can divide them by it to simplify. (ex: 4/6 = 2/3)
Well, x^6 and x^2 are both divisible by x^2, right?
We can also cancel the y^3.
It might help to visualise the factors like this:
Once you've cancelled out x² and y³ from each, you're left with
Answer: distributing
2(6x + 6) <em>is</em> 12x + 12
16x - 8 <em>is</em> 8(2x - 1)
3(x - 2) <em>is</em> 3x - 6
3(4x + 4) <em>is</em> 12x + 12
2x + 6 <em>is</em> 2(x + 3)
4(x + 3)<em> is</em> 12x + 12
Step-by-step explanation:
Distribute the number in front of the parenthesis to the numbers inside the parenthesis .
for example: 3(x-2)
3 times x = 3x
3 times -2= -6
answer: 3x - 6
Answer:
2.25
Step-by-step explanation:
In this question, we are asked to calculate the number of slices to be eaten by a man who has restrictions on his diet.
Firstly, as we can see, he bought 3 which weighs a total of 1/3 pounds. The weight of one of this would be 1/3 divided by 3 = 1/9 pounds
Now to stay true to his weight by not exceeding 1/4, we need to know how many of the 1/9 can he eat. To solve this, we directly divide 1/9 by 1/4 = 1/4 divided by 1/9 = 2.25
Answer:
5
Step-by-step explanation:
1 ,3 ,0, 6 ,x
To find the mean, we add them all up and divide by the number of numbers
(1+3+0+6+x) / 5 = 3
Multiply each side by 5
(1+3+0+6+x) / 5 *5= 3*5
(1+3+0+6+x) = 15
Combine like terms
10+x = 15
Subtract 10 from each side
10+x-10=15-10
x = 5
