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Mathematics

1 answer:

dimulka [17.4K]2 years ago

3 0

Answer:

not enough information

Step-by-step explanation:

Perpendicular lines intersect at right angles. Since lines c and b are perpendicular, angles 1, 2, 3, and 4 are right angles, and each one measures 90 degrees.

Angle 2 is formed by the intersection of lines a and b. We are not told anything about the intersection of lines a and b, and we are not told anything about the relationship between lines a and c, so we do not have enough information to determine the measure of angle 2.

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7 L of an acid solution was mixed with 3 L of a 15% acid solution to make a 29% acid solution. What is the percent concentration

Setler [38]

well, let's say that the first solution is 7 liters and has "x" percent of acid, how much acid total in it? well, 7x, <u>keeping in mind that "x" is a decimal form</u>.

likewise, the second solution is 3 liters and has 15% acid, so how much acid is there in that one? (15/100) * 3 = 0.45, so

$\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{liters of }}{amount}\\ \cline{2-4}&\\ \textit{1st solution}&7&x&7x\\ \textit{2nd solution}&3&0.15&0.45\\ \cline{2-4}&\\ mixture&10&0.29&2.9 \end{array}~\hfill \implies 7x~~ + ~~0.45~~ = ~~2.9 \\\\[-0.35em] ~\dotfill\\\\ 7x=2.45\implies x=\cfrac{2.45}{7}\implies x=0.35~\hfill \stackrel{\textit{converting to \%}}{0.35\cdot 100}\implies \stackrel{\%}{35}$