Which relationship is always correct for the angles x, y, and z of triangle ABC?
2 answers:
Answer: B. y + z = x
Step-by-step explanation:
Given: A triangle ABC in which is labelled as 'y' and
is labelled as 'z' and x is an exterior angle to
.
We know that there is a property of triangles that the measure of exterior angle is equal to the the sum of the measure of the opposite interior angles.
Therefore, x=y+z
Thus, B. is the right answer.
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Answer:
<em>Rajan must use </em><em>0.75</em><em> liters of 5% hydrochloric acid solution and </em><em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>
Step-by-step explanation:
Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.
As Rajan need total of 1 liter of solution, so
i.e --------------------1
As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so
i.e -------------2
Putting value of x from equation 1 in equation 2,
Putting the value of y in equation 1,
Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.