Answer:
X=8
Step-by-step explanation:
Opposite side angles on the transversal are congruent.
SO 6x-2=46
46+2=48
48/6=8
X=8
The answer is <span>c. 16x2 + 24xy + 9y2.
Since we need trinomial (three term expression) choices a and b are incorrect because they have only two terms.
So, our square trinomial is a</span>² + 2ab + b² or a² - 2ab + b²
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²
Let's check choices c and d:
c) 16x² + 24xy + 9y²
a² = 16x²
a² = (4x)²
a = 4x
b² = 9y²
b² = (3y)²
b = 3y
a² + 2ab + b² = (4x)² + 2 * 4x * 3y + (3y)² = 16x² + 24xy + 9y²
CORRECT
d) 49x² - 70xy + 10y²
a² = 49x²
a² = (7x)²
a = 7x
b² = 10y²
b² = (y√10)²
b = y√10
a² + 2ab + b² = (7x)² + 2 * 7x * y√10 + (y√10)² = 49x² + 14xy√10 + 10y²
INCORRECT
So, c) is correct answer
Answer:
20 pencils
Step-by-step explanation:
4 pens (4) = 16 pens
5 pencils (4) = 20 pencils
This works because 4/5 and 16/20 are the same ratio, 16/20 isn't simplified..
Answer:
1.67 ounces
Step-by-step explanation:
All you have to do is take 5 and multiply that by 1/3 to get what 1/3 of 5 is. By doing that you get 5/3 which simplifies to 1.6667 repeating but you can round to 1.67 and thats your answer.