First pic
a. ΔMNK ≅ ΔRTP
b. TR ≅ NM
c. x = 7
3x - 1 = 20
3x = 20 + 1
3x = 21
x = 21 ÷ 3
x = 7
Second pic
SAS (Side-Angle-Side congruence)
SSS (Side-Side-Side)
Hope this helps
Answer:
B. 2x + 5, with the restriction x ≠ five over 2
Step-by-step explanation:
The given expression is the difference of squares, so factors as ...
the product of the quantity 2x plus 5 and the quantity 2x minus 5 over the quantity 2x minus 5
You will note that the numerator and denominator have a common factor:
the quantity 2x minus 5
Factoring that out gives ...
2x + 5, with the restriction x ≠ five over 2 (x is restricted from being a value that makes the denominator zero.)
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<em>Comment on the form of the answer</em>
Since you have written your math expressions using words instead of symbols, we assume you can read them more easily that way. So, we have provided the explanation in the form you can most easily understand. (Personally, I prefer math symbols. They are more compact and tend to be less ambiguous.)
Answer:
1
Step-by-step explanation:
21/21 is whole and the a whole as a whole number is equivalent to 1.
The total amount of the resulting mixture can be calculated by adding up the volume of the given substances assuming that volume addition is applicable given the properties of the fluids used.
That is,
T = 6 quarts + 10 quarts = 16 quarts
The total volume of the resulting mixture is 16.
Then, we do the component (antifreeze) balance by adding up the resulting antifreeze from the substances to the total. We let x be the percentage of antifreeze in the final mixture.
6(0.52) + 10(0.32) = 16(x)
The value of x from the equation is 0.395.
Therefore, the answer to this item is 39.5%.
