Answer:
21 cm
Step-by-step explanation:
Call the triangle ABC, with the right angle at B, the hypotenuse AC=25, and the given leg AB=10. The altitude to the hypotenuse can be BD. Since the "other leg" is BC, we believe the question is asking for the length of DC.
The right triangles formed by the altitude are all similar to the original. That means ...
AD/AB = AB/AC . . . . . . ratio of short side to hypotenuse is a constant
Multiplying by AB and substituting the given numbers, we get ...
AD = AB²/AC = 10²/25
AD = 4
Then the segment DC is ...
DC = AC -AD = 25 -4
DC = 21 . . . . . centimeters
I assume you meant
.
Reflecting across the x-axis would give
.
Reflecting across the y-axis would give
.
Well for the first one you have to subtract 3 on both sides so that would make the equation x > -8 (because a negative subtracting a positive is basically a negative plus negative) and so your equations done. For the second one you divide both ides by -4 so your equation would be x < 4 (the sign would be less then or qual to because you divided by a negative)
The correct answers are B and C.
Since the mixture requires 5 mL of black wax and 6 mL of white wax, we want multiples of these numbers; specifically, we need multiples that are the same number of times away.
A does not work; 10 is 5*2 and 24 is 6*4. These won't be in the same ratio.
B works; 15 is 5*3 and 18 is 6*3. These have the same ratio.
C works; 35 is 5*7 and 42 is 6*7. These have the same ratio.
D does not work; 26 is not a multiple of 6.
E does not work; 45 is 5*9 and 48 is 6*8. These will not have the same ratio.
Answer:
Step-by-step explanation:
