Answer:
A = (x + 15)(x + 10) − 5
Step-by-step explanation:
(x+15)(x+10)-5=A would be a solution
To make this easier, let's assign x a value. Let's say 3.
(3+15)(3+10)-5=A
(18)(13)-5=A
234-5=A
A=229
Now with this, we put x in the answer choice and the answer that gives an area of 229 is correct.
A. A=(3+20)(3+10)+12=(23)(13)+12=299+12=311 <u>Answer A is wrong.</u>
B. A=(3+20)(3+10)-12=(23)(13)-12=299-12=287 <u>Answer B is wrong.</u>
C. A=(3+26)(3+15)=(29)(18)=522 <u>Answer C is wrong.</u>
D. A=(3+14)(3+8)=(17)(11)=187 <u>Answer D is wrong.</u>
It's either I'm wrong or the answer choices are wrong.
New answer choices!
A. A=(3+20)(3+11)
=(23)(14)=322 Answer A is wrong.
B. A=(3+15)(3+10)+5
=(18)(13)+5=234+5=239 Answer B is wrong.
C. A=(3+15)(3+10)−5
=(18)(13)-5=234-5=229 Answer C is correct.
D. A=(3+9)(3+10)=(12)(13)=156 <u>Answer D is wrong.</u>
Negative x axis
Since , the value of x comes out to be -2and -4 .
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Answer:
Therefore the third container contains
= 43.23 % acid.
Step-by-step explanation:
Given that, One container is filled with the mixture that 25% acid. 55% acid is contain by second container.
Let the volume of first container be x cubic unit.
Since the volume of second container is 55% larger than the first.
Then the volume of the second container is
cubic unit.
cubic unit.
The amount of acid in first container is
cubic unit.
cubic unit.
The amount of acid in second container is
cubic unit.
cubic unit.
Total amount of acid
cubic unit.
cubic unit.
cubic unit.
Total volume of mixture
cubic unit.
cubic unit.
cubic unit.
The amount of acid in the mixture is



Therefore the third container contains
acid.
Answer:
80 cm
Step-by-step explanation:
The diagonals divide the rhombus into four congruent triangles. The height of each triangle is 18/2 = 9, and the hypotenuse is 41. Using Pythagorean theorem, the width of each triangle is:
c² = a² + b²
41² = 9² + x²
x = 40
Therefore, the longer diagonal is 2×40 = 80.