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Allisa [31]
3 years ago
12

A laboratory technician needs to make a 108​-liter batch of a 20​% acid solution. How can the laboratory technician combine a ba

tch of an acid solution that is pure acid with another that is 10​% to get the desired​ concentration?
Mathematics
1 answer:
Gala2k [10]3 years ago
6 0
<span>12 liters of pure acid and 96 liters of 10% acid solution Using mass and component balance: Let x = liters of pure acid and y = liters of 10% acid Mass balance: x + y = 108 Component balance: 100%*x + 10%*y = 20%*108 or x + 0.1y = 21.6 Solving for x and y: x = 12 and y = 96</span>
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In , side is extended to point E. When connected to vertex A, segment is parallel to segment . In this construction, you are giv
givi [52]
  1. Angle 1 is congruent to angle 2, since BD bisects <ABC and the two angles created on each side of the bisector at point B are equal.
  2. <2 ≅ <3 because of the corresponding angles theorem.
  3. <1 ≅ <4 because alternate angles are congruent if two parallel lines are cut by a transversal.
  4. <3 ≅ <4 by the substitution property of equality.
  5. AD/CD = EB/CB by the triangle proportionality theorem.
  6. If two angles in a triangle are congruent, the sides opposite the angles are congruent, so AE = EB.
  7. AD/CD = AB/CB by the substitution property of equality.

<h3>The properties of similar triangles.</h3>

In Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

<h3>What is the substitution property of equality?</h3>

The substitution property of equality states that assuming x, y, and z are three (3) quantities, and if x is equal to y (x = y) based on a rule and y is equal to z (y = z) by the same rule, then, x and z (x = y) are equal to each other by the same rule.

In this context, we can reasonably infer and logically deduce that the ratio of AD/CD is equal to AB/CB based on the substitution property of equality.

Read more on substitution property here: brainly.com/question/2459140

#SPJ1

Complete Question:

In ΔABC, side BC is extended to point E. When connected to vertex A, segment EA is parallel to segment BD. In this construction, you are given that BD bisects <ABC.

Prove: AD/CD = AB/CB.

Complete the paragraph proof.

8 0
1 year ago
Please helllppp its in the picture and due in 5 mins​
ioda

Answer:

it is a it's a

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The expression can be simplified to (x^2)^2. Using an exponent rule, you multiply the two exponents together to get 4. The answer is x^4

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2 years ago
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Answer:

V = 137.2

Step-by-step explanation:

We are given the volume equation. Simply plug in your <em>r</em> into the equation and calculate and you should get 137.189 as your answer.

7 0
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Christian is placing photos onto scrapbook paper for his photo album. the scrapbook paper is 12 inches long and 12 inches wide.
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The answer would be 144 inches, found by multiplying the length of the paper by the width.

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