Answer:

Step-by-step explanation:
Point Z divides XY into a 5:3 ratio, so Z is 5/3 of the way from X to Y. That ratio is k, found by writing the numerator of the ratio (5) over the sum of the numerator and the denominator (5 + 3 = 8). Our k value is 5/8. Now we will find the rise and run values which is the slope of this line segment:

Coordinates are found in this formula:

Filling that in:

which simplifies to

which gives us the final coordinates of Z to be 
Answer:
x = 14
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + x² = (14
)²
2x² = 392 ( divide both sides by 2 )
x² = 196 ( take the square root of both sides )
x =
= 14
Thus the congruent legs are 14 cm
Charlie spent $89 more dollars on ice cream than on yogurt. He spent a total of $96 on ice cream and $7 on yogurt. If you subtract 7 from 96 you get 89.
$96- $7= $89
If we use the rules we say that <span>when we multiply two numbers we get the result in the numbers the least significant number has in the multiplication. So we may proceed like this:</span>
67.6 x 1.2 = 81.12
<span>As the decimal part does not continue indefinitely we can leave the answer as it is.</span><span> if the answer was 81.123612356213 then we leave it like </span><span>81.1 as the rules say</span>