Answer:
a x sqrt(7) - 49sqrt(x)
Step-by-step explanation:
sqrt(7x) [ sqrt(x) - 7sqrt(7)]
Distribute
sqrt(7x) *sqrt(x) - sqrt(7x)*7sqrt(7)
We know that sqrt(a) sqrt(b)= sqrt(ab)
sqrt(7x^2) - 7sqrt(7^2 *x)
Now lets separate out the perfect squares
sqrt(7) *sqrt(x^2) - 7sqrt(7^2)*sqrt(x)
x sqrt(7) - 7*7sqrt(x)
x sqrt(7) - 49sqrt(x)
Answer: C is the correct statement " In ΔADC and ΔBCD AD=BC, opposite sides of a rectangle are congruent"which completes the proof .
Step-by-step explanation:
Given: A figure shows a rectangle ABCD having diagonals AC and DB.
Anastasia wrote the proof given in picture to show that diagonals of rectangle ABCD are congruent.
We can see the Statement 2 which tells that AB=CD, opposite sides of a rectangle are congruent. In Statement 3 she used Pythagoras theorem to show AC²= BD² by using Statement 1 and 2.
Thus we can see she need to introduce two triangles named as ACD and BCD and the remaining sides to write the proof is AD=BC with correct reason i.e. opposite sides of a rectangle are congruent.
Therefore Statement 1 would be In ΔADC and ΔBCD AD=BC, opposite sides of a rectangle are congruent.
Answer:
67
Step-by-step explanation:
M1 +m2 + m3 have to equal 180 so
58 +16+ 39 = 113
180-113= 67
<span>Let's use the quadratic formula:
2w² -</span><span><span> 20w </span>+ 50 = 0</span>
a = 2 b = -20 c = 50
x = -b +-sq root(b^2 - 4*a*c) / 2*a
x = --20 +-sq root(400 -4*2*50) / 4
x = 20 +-sq root(400 -4*2*50) / 4
x = 20 +-sq root( 0) / 4
x = 20 / 4 =5
I'd say it has one rational solution.
It does NOT have 2 solutions because the "plus / minus" section = 0.
Answer:
The equation given in the question matches the situation C.
Step-by-step explanation:
A. The amount that Cindy paid for books was 15% of p i.e. it is only
B. The amount is given to a charity after saving 15% of p. That means if p is the amount of charity, then there were a savings of 15% of p.
Therefore, the total charity payment after savings = p - 15% of p =
C. The amount that Sandy paid for a shirt with 15% tax on p.
Therefore, if the price of a shirt is p, then total payment of Sandy after tax is = p + 15% of p =
Hence, the equation given in the question matches the situation C. (Answer)