Answer:A
Step-by-step explanation:
Answer:
1/2 L
Step-by-step explanation:
She makes 1 1/2 L of lemonade i.e. 3/2 L of lemonade.
She pours 1/4 of liter of lemonade into a thermos to take to the park. The amount of lemonade left is:
3/2 - 1/4 = 1 1/4 L = 5/4 L
Her brother drinks 2/5 of the remaining lemonade. The amount of lemonade that her brother drinks is:
2/5 * 5/4 = 1/2 L
Her brother drinks 1/2 L.
Answer:
quadratic
Step-by-step explanation:
Given
x²y - 2xy - 24y ← factor out y from each term
= y(x² - 2x - 24) ← quadratic factor
To factor the quadratic
Consider the factors of the constant term ( - 24) which sum to give the coefficient of the x- term (- 2)
The factors are - 6 and + 4, since
- 6 × 4 = - 24 and - 6 + 4 = - 2, hence
x² - 2x - 24 = (x - 6)(x + 4) and
x²y - 2xy - 24y = y(x - 6)(x + 4) ← in factored form
Answer:






Step-by-step explanation:
step 1
Find the value of x
we know that
----> by alternate interior angles
solve for x
Group terms


step 2
Find the measure of angle a
we know that
----> by vertical angles
substitute the value of x

step 3
Find the measure of angle b
we know that
----> by supplementary angles (form a linear pair)
we have

substitute


step 4
Find the measure of angle c
we know that
----> by vertical angles
we have

therefore

step 5
Find the measure of angle d
we know that
----> by corresponding angles
we have

therefore

step 6
Find the measure of angle e
we know that
----> by alternate exterior angles
we have

therefore

step 7
Find the measure of angle f
we know that
----> by vertical angles
we have

therefore

If you want to solve it in standard way,follow:
9x=63 ==> x=7