Answer:
"The sum of two rational numbers is rational."
By definition, a rational number can be expressed as a fraction with integer values in the numerator and denominator (denominator not zero). So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.
I believe AFE is 0°
CFE is 105°
And BFD is 90° I think
We have from Thales theorem that because the 2 triangles are similar, JM/JK=JN/JL. We have that JN=x, JL=x+24 and that JM=7 and JK=28. Substituting, we get:
x/(x+24)=7/28.
Hence, x/(x+24)=1/4. This leads to 4x=x+24, 3x=24, x=8. We have solved for x=JN and this is equal to 8.
Answer:
Y= - 1/2X + 11.5
Step-by-step explanation:
first you would go and subtract the y coordinates 13-9 which is 4 then you would do the same for the x values -3-5 which is -8. then you would make your fraction which is 4/-8. you would simplify that to be negative 1/2. then you take your slope - 1/2 and multiply that by one of your x values and see the difference so i did that for 5 and got -2.5 and added 11.5 t get to 9 so you would do that for the other one to see if it works. and it does so your equation is Y= - 1/2X + 11.5.
Answer:
20 cm
Step-by-step explanation:
Given that :
P = 1/25 r²h
P = price = 240 ; h = height = 15cm
Inputting values into the equation :
240 = 1/25 * r² * 15
25 * 240 = 15r²
6000 = 15r²
6000 / 15 = r²
400 = r²
Square root of both sides
20 = r
Radius = 20cm