Answer:
Proportion states that the two fractions or ratios are equal
As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96
Let the tank size now be x
Since, the gas tank expanded by 10 gallons = x + 10
by definition of proportion ;
by cross multiply we get;
using distributive property;
Subtract 42.56x from both sides we get;
Divide both sides by 30.4 we get;
x = 14
Therefore, the tank is her now is, 14 gallons
Answer:
A is correct < C and < C" are congruent after both the translation and the dilation.
Step-by-step explanation:
The shape of the triangle remains the same after the translation and the dilation. After the dilation the new triangle is bigger by a factor 2 but the shape ( and therefore the angles are equal. The 2 triangles are similar,
Answer:
90 deg
Step-by-step explanation:
Recall that for a rhombus, the diagonals always intersect at right angles.
Hence angle PXM is 90 deg
Answer:
6 red balls
Step-by-step explanation:
The probability in the first pick
6/21
The probability in the second pick (without replacement)
5/20
the requested probability
(6/21)(5/20) = 30/420
simplification
30/420 = 3/42 = 1/14
Hope this helps
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