Answer:
ΔRES ≅ ΔTEQ
Step-by-step explanation:
A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel to each other.
Opposite angles of a parallelogram are equal and the diagonals bisect each other. Each diagonal of a parallelogram separates it into two congruent triangles.
Given parallelogram QRST with diagonals QS and RT intersecting at point E
Therefore, the diagonals divide parallelogram QRST into congruent triangles, hence:
ΔRES ≅ ΔTEQ
Pete starts with 4 quarts of 20% juice, which contains
0.20 • (4 quarts) = 0.8 quarts
of juice.
If he mixes this with <em>x</em> quarts of 60% juice, which contains
0.60 • (<em>x</em> quarts) = 0.6<em>x</em> quarts
of juice, then he would end up with a mixture with a volume of (<em>x</em> + 4) quarts that contains (0.8 + 0.6<em>x</em>) quarts of juice. The mix has to have a concentration of 50% juice, which means
(0.8 + 0.6<em>x</em>) / (<em>x</em> + 4) = 0.50
Solve for <em>x</em> :
0.8 + 0.6<em>x</em> = 0.50 (<em>x</em> + 4)
0.8 + 0.6<em>x</em> = 0.5<em>x</em> + 2
0.1<em>x</em> = 1.2
<em>x</em> = 12
So Pete needs 12 quarts of the 60% juice.
<span>a rectangle rhombus(parallelogram) since even a parallelogram has diagonals</span>
Step-by-step explanation:
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