Answer:
21
Step-by-step explanation:
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Answer:
x = 13.444 ... (repeating decimal) or;
x = 13 4/9
Step-by-step explanation:
-0.65 + 0.45x = 5.4
First we will add 0.65 to each 'side' of the equation.
0.65 + (-0.65) + 0.45x = 0.65 + 5.4
0.65 + (-0.65) = 0
0.65 + 5.4 = 6.05
Input the numbers, and now the equation looks like this:
0 + 0.45x = 6.05
Remove the zero:
0.45x = 6.05
Divide each 'side' by 0.45.
0.45x ÷ 0.45 = 6.05 ÷ 0.45
0.45x ÷ 0.45 = 1x = x
6.05 ÷ 0.45 = 13.444 ... repeating decimal
Input the numbers, and now the equation looks like this:
x = 13.444 ... repeating decimal
We can also write this as:
x = 13 4/9 in fraction form
Answer:
125, 105, 120
Step-by-step explanation:
You would first make an equation with what you know:
x + 45 + x + 25 + x + 40 = 350.
Now, you would simplify and add like terms.
3x + 110 = 350
Now, you would subtract 110 from both sides.
3x = 240
Now, you would divide both sides by 3.
x = 80
Now that you know what x is, simply plug it in to the respective equations for all three sides.
x + 45 would become 80 + 45, and add up to 125.
x + 25 would become 80 + 25, and add up to 105.
x + 40 would become 80 + 40, and add up to 120.
To check your work, you would now add the three totals.
125 + 105 + 120 = 350.
Your answer would be 22 because it says <em>"sum"</em> which means <u>add.</u> Then it says "<em>of three consecutive <u>even</u> numbers</em>" which means you're going to be adding <u>three</u> of the <em>same <u>even</u> number </em>to get 66. 22 is an <u>even</u> number, so let's try it out: 22 + 22 + 22 = 66. (You can also divide 66 by 3.) 22 is the cOrrect answer.
Hope this helps,
♥<em>A.W.E.<u>S.W.A.N.</u></em>♥
Answer:
The values of x and y that make the quadrilateral is a parallelogram are x = 12 and y = 21
Step-by-step explanation:
- In the parallelogram, every two opposite sides are equal in lengths
In the given figure
If DEFG is a parallelogram, then DE = GF and DG = EF
∵ DE = GF
∵ DE = 6x - 12 and GF = 2x + 36
→ Equate them
∴ 6x - 12 = 2x + 36
→ Subtract 2x from both sides
∵ 6x - 2x - 12 = 2x - 2x + 36
∴ 4x - 12 = 36
→ Add 12 to both sides
∵ 4x - 12 + 12 = 36 + 12
∴ 4x = 48
→ Divide both sides by 4
∴ x = 12
∵ DG = EF
∵ DG = 6y - 42 and EF = 4y
→ Equate them
∴ 6y - 42 = 4y
→ Add 42 to both sides
∵ 6y - 42 + 42 = 4y + 42
∴ 6y = 4y + 42
→ Subtract 4y from both sides
∵ 6y - 4y = 4y - 4y + 42
∴ 2y = 42
→ Divide both sides by 2
∴ y = 21
∴ The values of x and y that make the quadrilateral is a parallelogram are
x = 12 and y = 21