Answer:
Let x= liters of 18% solution to be added to a 10% solution.
20-x= liters of 10% solution to be mixed with 18% solution.
..
18%(x)+10%(20-x)=15%(20)
.18x+2-.1x=3
..08x=1
x=1/.08=12.5
ans:
12.5 liters of an 18% alcohol solution must be added to a 10% alcohol solution to get 20 L of a 15% acohol solution.
I hope it's helpful!
Answer: Option a.
Step-by-step explanation:
The parent function is the simplest form of the function.
Therefore, if you have the parent function given in the problem:
and you make f(x)+3, then the function will be translated up 3 units.
Then, you obtain:
Therefore the answer is the option a.
Answer: C
Step-by-step explanation:
Since there are 12 inches in 1 foot,
42 feet converts to 42 x 12 = 504 inches. If he makes a cut starting on one side, he will make 504/20 = 25.2 cuts. Since he won't make a partial cut, the answer is 25
The theorem that justifies why triangles ABC and DEF are congruent is: HL.
<h3>What is the Hypotenuse-Leg Congruence Theorem (HL)?</h3>
The hypotenuse-leg congruence theorem (HL) states that if two triangles that are right triangles have a pair of congruent hypotenuse and a pair of corresponding congruent legs, then both right triangles are proven to be congruent to each other. This means both right triangles are have the same shape and size.
Given that:
angle ABC = angle DEF = 90° (congruent right angles, this means both triangles are right triangles)
AC = FD (a pair of congruent hypotenuse)
AB = DE (a pair of congruent legs)
Thus, we can conclude that since triangle ABC and triangle DEF have a pair of congruent hypotenuses and a pair of congruent legs, therefore, the two right triangles, triangle ABC and triangle DEF are congruent to each other by the HL congruent theorem.
Thus, the theorem that justifies why both triangles are congruent is: HL.
Learn more about the HL congruence theorem on:
brainly.com/question/2102943
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