Answer: (a) 9
<u>Step-by-step explanation:</u>
1st multiple of 3: 1(3x)
2nd multiple of 3: 2(3x)
3rd multiple of 3: 3(3x)
Sum = 4(1st multiple of 3) + 6
1(3x) + 2(3x) + 3(3x) = 4(3x) + 6
3x + 6x + 9x = 12x + 6
18x = 12x + 6
6x = 6
x = 1
Largest (3rd) multiple is: 3(3x)
= 9x
= 9 · 1
= 9
Answer:
Opposite angles in a parrellelogram are
congruent.
Answer:
4 √6
Step-by-step explanation:
We have a few right triangles. We know that a²+b²=c², with c being the side opposite the right angle. Representing the side without a value as z, we have:
m²+z² = (8+4)² = 12²
4²+n²=z²
8²+n²=m²
We have 3 equations with 3 unknown variables, so this should be solvable. One way to find a solution is to put everything in terms of m and go from there. First, we can take n out of the equations entirely, removing one variable. We can do this by solving for it in terms of z and plugging that into the third equation, removing a variable as well as an equation.
4²+n²=z²
subtract 4²=16 from both sides
z²-16 = n²
plug that into the third equation
64 + z² - 16 = m²
48 + z² = m²
subtract 48 from both sides to solve for z²
z² = m² - 48
plug that into the first equation
m² + m² - 48 = 144
2m² - 48 = 144
add 48 to both sides to isolate the m² and its coefficient
192 = 2m²
divide both sides by 2 to isolate the m²
96 = m²
square root both sides to solve for m
√96 = m
we know that 96 = 16 * 6, and 16 = 4², so
m = √96 = √(4²*6) = 4 √6
Unless you're given the value of the variables, you can't really solve for anything. The only thing you can do is simplify.
<span>39+5h+4g-2h
The only like terms are 5h and -2h.
39 + 3h + 4g
This would be the simplified version.</span>
What do you need to find I need to know that so I can solve it