Answer:
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EXPLANATION:
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Line x is the mid point of both lines
so the triangle becomes base = 19.2/2 = 9.6
hypotenuse = 24/2 = 12
using Pythagorean theorem:
x^2 = 12^2 - 9.6^
x^2 = 144 - 92.16
x^2 = 51.84
x = sqrt(51.84) = 7.2
Answer:
4 and 20
Step-by-step explanation:
The sum of two numbers is 24.
One of the numbers is 5 times larger than the other.
Let x be the first number.
Let y be the second number.
x + y = 24
x = 5y
Put x as 5y in the first equation.
5y + y = 24
6y = 24
y = 4
Put y as 4 in the second equation.
x = 5(4)
x = 20
What you want to do, is isolate the y by itself to rewrite the equation as y=mx+b. So when you move the 5x over the equation looks like this -6y=-5x+30. Then you divide the -5x+30 by -6 to isolate the y. Thus making the equation y=5/6x-5. And since there is only one answer with the y-intercept as (0,-5); The answer is A.
Scale factor is defined as a number which multiplies or scales some quantity.
The shape of the figure remains same, the image becomes larger or smaller.
If the scale factor is greater than one, then the image is enlarged.
If the scale factor is less than 1 but greater that 0, then the image becomes smaller.
In the above image, AD = 2 units.
It's corresponding side PS = 3 units
Similarly AB = 1 unit and PQ = 1.5 units
Hence , 1 * 1.5 = 1.5
2*1.5 = 3
Hence, the scale factor of the given image is 1.5 ... Answer
