Answer:
1. x = 67.5
2. x = 2.5
3. x = 35.2
4. x = 2.0
5. x = 17.0
Step-by-step explanation:
Question 1
The proportion is set up in the form x/9 = 15/2. Multiply both sides by two to get rid of the two in the denominator on the right side. After doing so, multiply by 9 on both sides to get rid of the 9 in the denominator on the left:
2x/9 = 15
2x = 9(15)
Next solve for x:
2x = 135
x = 67.5
Question 2
The proportion is set up in the form 20/8.7 = 5.8/x. Multiply both sides by the second denominator, x, and then both sides by the first, 8.7. This will leave you with the work below:
20x/8.7 = 5.8
20x = 8.7(5.8)
Next, solve for x:
20x = 50.46
x = 2.523
Round to the nearest tenth:
x = 2.5
Question 3
The proportion is set up in the form 5/16 = 11/x. Multiply both sides by the second denominator, x, and then both sides by the first, 16. This will leave you with the work below:
5x/16 = 11
5x = 11(16)
Next, solve for x:
5x = 176
x = 35.2
Question 4
The proportion is set up in the form x/0.06 = 17/0.5. Multiply both sides by the second denominator, 0.5, and then both sides by the first, 0.06. This will leave you with the work below:
0.5x/0.06 = 17
0.5x = 17(0.06)
Next, solve for x:
0.5x = 1.02
x = 2.04
Round to the nearest tenth:
x = 2.0
Question 5
The proportion is set up in the form 29/x = 75/44. Multiply both sides by the second denominator, 44, and then both sides by the first, x. This will leave you with the work below:
29(44)/x = 75
29(44) = 75x
Next, solve for x:
1276 = 75x
x = 17.0133
Round to the nearest tenth:
x = 17.0
Can you attach a pic of the shape please?
Answer:
352x^2
Step-by-step explanation:
40\times 1.25x\times 2.20x\times 3.2040×1.25x×2.20x×3.20
(40)1.25x2.20x3.20
+ − . ln > <
× ÷ / log ≥ ≤
( ) logx = %
1 Take out the constants.
(40\times 1.25\times 2.20\times 3.20)xx(40×1.25×2.20×3.20)xx
2 Simplify 40\times 1.2540×1.25 to 5050.
(50\times 2.20\times 3.20)xx(50×2.20×3.20)xx
3 Simplify 50\times 2.2050×2.20 to 110110.
(110\times 3.20)xx(110×3.20)xx
4 Simplify 110\times 3.20110×3.20 to 352352.
352xx352xx
5 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x
a
x
b
=x
a+b
.
352{x}^{2}352x
2
Done
If the lines are congruent it should be 2 because 4 should be double of x